Completing the Square
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Question 1 of 10
1. Question
Solve by completing the square`x^2-12x=-22`Hint
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Help VideoCompleting the square is done by taking the coefficient of `x`, halving it and then squaring it. Then we add the new value to both sides of the equation.
Take the coefficient of the middle term, divide it by two and then square it.`x^2``-12``x` `=` `-22` Coefficient of the middle term `-12``-:2` `=` `-6` Divide it by `2` `(-6)^2` `=` `36` Square This number will make the left side a perfect square.Add `36` to both sides of the equation to keep the balance.`x^2-12x` `=` `-22` `x^2-12x` `+36` `=` `-22` `+36` Add `36` to both sides `x^2-12x+36` `=` `14` Now, transform the left side into a square of a binomial by factoring or using cross method.
`(x-6)(x-6)` `=` `14` `(x-6)^2` `=` `14` Finally, take the square root of both sides and continue solving for `x`.`(x-6)^2` `=` `14` `sqrt((x-6)^2)` `=` `sqrt14` Take the square root `x-6` `=` `+-sqrt(14)` Square rooting a number gives a plus and minus solution `x-6` `+6` `=` `+-sqrt(14)` `+6` Add `6` to both sides `x` `=` `6+-sqrt(14)` Simplify The roots can also be written individually`=` $$6+\sqrt14$$ `=` $$6-\sqrt14$$ `x=6+-sqrt(14)` -
Question 2 of 10
2. Question
Solve by completing the square`x^2+6x+13=0`Hint
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Help VideoCompleting the square is done by taking the coefficient of `x`, halving it and then squaring it. Then we add the new value to both sides of the equation.Take the coefficient of the middle term, divide it by two and then square it.`x^2+``6``x+13` `=` `0` Coefficient of the middle term `6``-:2` `=` `3` Divide it by `2` `(3)^2` `=` `9` Square This number will make a perfect square on the left side.Add and subtract `9` to the left side of the equation to keep the balance, then form a square of a binomial`x^2+6x+13` `=` `0` `x^2+6x` `+9-9``+13` `=` `0` `(x+3)^2-9+13` `=` `0` `(x+3)^2+4` `=` `0` Move the constant to the right`(x+3)^2+4` `=` `0` `(x+3)^2+4` `-4` `=` `0` `-4` Subtract `4` from both sides `(x+3)^2` `=` `-4` Finally, take the square root of both sides and continue solving for `x`.`(x+3)^2` `=` `-4` `sqrt((x+3)^2)` `=` `sqrt(-4)` Remember that a negative value inside a surd will give out imaginary roots. Therefore, this equation has no real rootsNo real roots -
Question 3 of 10
3. Question
Solve by completing the square`x^2+3x-6=0`Hint
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Help VideoCompleting the square is done by taking the coefficient of `x`, halving it and then squaring it. Then we add the new value to both sides of the equation.Take the coefficient of the middle term, divide it by two and then square it.`x^2+``3``x-6` `=` `0` Coefficient of the middle term `3``-:2` `=` `3/2` Divide it by `2` `(3/2)^2` `=` `9/4` Square This number will make a perfect square on the left side.Add and subtract `9/4` to the left side of the equation to keep the balance, then form a square of a binomial`x^2+3x-6` `=` `0` `x^2+3x` `+9/4-9/4``-6` `=` `0` `(x+3/2)^2-9/4-6` `=` `0` `(x+3/2)^2-33/4` `=` `0` Move the constant to the right`(x+3/2)^2-33/4` `=` `0` `(x+3/2)^2-33/4` `+33/4` `=` `0` `+33/4` Add `33/4` to both sides `(x+3/2)^2` `=` `33/4` Finally, take the square root of both sides and continue solving for `x`.`(x+3/2)^2` `=` `33/4` `sqrt((x+3/2)^2)` `=` `sqrt(33/4)` `x+3/2` `=` `(+-sqrt33)/2` `x+3/2` `-3/2` `=` `(+-sqrt33)/2` `-3/2` Subtract `3/2` from both sides `x` `=` `(-3+-sqrt33)/2` The roots can also be written individually`=` `(-3+sqrt33)/2` `=` `(-3-sqrt33)/2` `(-3+-sqrt33)/2` -
Question 4 of 10
4. Question
Solve by completing the square`k^2-4k=2k+18`Hint
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Help VideoCompleting the square is done by taking the coefficient of `x`, halving it and then squaring it. Then we add the new value to both sides of the equation.Move `k` terms to the left`k^2-4k` `=` `2k+18` `k^2-4k` `-2k` `=` `2k+18` `-2k` Subtract `2k` from both sides `k^2-6k` `=` `18` Take the coefficient of the middle term, divide it by two and then square it.`k^2``-6``k` `=` `18` Coefficient of the middle term `-6``-:2` `=` `-3` Divide it by `2` `(-3)^2` `=` `9` Square This number will make a perfect square on the left side.Add `9` to both sides of the equation to keep the balance, then form a square of a binomial`k^2-6k` `=` `18` `k^2-6k` `+9` `=` `18` `+9` `(x-3)^2` `=` `27` Finally, take the square root of both sides and continue solving for `x`.`(x-3)^2` `=` `27` `sqrt((x-3)^2)` `=` `sqrt(27)` `x-3` `=` `+-3sqrt3` `x-3` `+3` `=` `+-3sqrt3` `+3` Add `3` to both sides `x` `=` `3+-3sqrt3` The roots can also be written individually`=` `3+3sqrt3` `=` `3-3sqrt3` `3+-3sqrt3` -
Question 5 of 10
5. Question
Solve by completing the square`u^2+1.8u-2.2=0`Hint
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Keep Going!
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Help VideoCompleting the square is done by taking the coefficient of `x`, halving it and then squaring it. Then we add the new value to both sides of the equation.Take the coefficient of the middle term, divide it by two and then square it.`u^2+``1.8``u-2.2` `=` `0` Coefficient of the middle term `1.8``-:2` `=` `0.9` Divide it by `2` `(0.9)^2` `=` `0.81` Square This number will make a perfect square on the left side.Add and subtract `0.81` to the left side of the equation to keep the balance, then form a square of a binomial`u^2+1.8u-2.2` `=` `0` `u^2+1.8u` `+0.81-0.81``-2.2` `=` `0` `(u+0.9)^2-0.81-2.2` `=` `0` `(u+0.9)^2-3.01` `=` `0` Move the constant to the right`(u+0.9)^2-3.01` `=` `0` `(u+0.9)^2-3.01` `+3.01` `=` `0` `+3.01` Add `3.01` to both sides `(u+0.9)^2` `=` `3.01` Finally, take the square root of both sides and continue solving for `x`.`(u+0.9)^2` `=` `3.01` `sqrt((u+0.9)^2)` `=` `sqrt(3.01)` `u+0.9` `=` `+-sqrt(3.01)` `u+0.9` `-0.9` `=` `+-sqrt(3.01)` `-0.9` Subtract `0.9` from both sides `u` `=` `-0.9+-sqrt(3.01)` The roots can also be written individually`=` `-0.9+sqrt(3.01)` `=` `-0.9-sqrt(3.01)` `-0.9+-sqrt(3.01)` -
Question 6 of 10
6. Question
Solve by completing the square`2x^2-12x=-8`Hint
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Help VideoCompleting the square is done by taking the coefficient of `x`, halving it and then squaring it. Then we add the new value to both sides of the equation.Simplify the equation by dividing both sides by `2``2x^2-12x` `=` `-8` `(2x^2-12x)``-:2` `=` `-8` `-:2` `x^2-6x` `=` `-4` Take the coefficient of the middle term, divide it by two and then square it.`x^2``-6``x` `=` `-4` Coefficient of the middle term `-6``-:2` `=` `-3` Divide it by `2` `(-3)^2` `=` `9` Square This number will make a perfect square on the left side.Add `9` to both sides of the equation to keep the balance, then form a square of a binomial`x^2-6x` `=` `-4` `x^2-6x` `+9` `=` `-4` `+9` `(x-3)^2` `=` `5` Finally, take the square root of both sides and continue solving for `x`.`(x-3)^2` `=` `5` `x-3` `=` `sqrt(5)` `x-3` `+3` `=` `+-sqrt(5)` `+3` Add `3` to both sides `x` `=` `3+-sqrt5` The roots can also be written individually`=` `3+sqrt5` `=` `3-sqrt5` `3+-sqrt5` -
Question 7 of 10
7. Question
Solve by completing the square`4x^2+8x-7=0`Hint
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Help VideoCompleting the square is done by taking the coefficient of `x`, halving it and then squaring it. Then we add the new value to both sides of the equation.Divide the equation by `4` to reduce the coefficient of `x^2``4x^2+8x-7` `=` `0` `4x^2+8x-7``-:4` `=` `0``-:4` `x^2+2x-7/4` `=` `0` Take the coefficient of the middle term, divide it by two and then square it.`x^2+``2``x-7/4` `=` `0` Coefficient of the middle term `2``-:2` `=` `1` Divide it by `2` `(1)^2` `=` `1` Square This number will make a perfect square on the left side.Add and subtract `1` to the left side of the equation to keep the balance, then form a square of a binomial`x^2+2x-7/4` `=` `0` `x^2+2x` `+1-1``-7/4` `=` `0` `(x+1)^2-1-7/4` `=` `0` `(x+1)^2-11/4` `=` `0` Move the constant to the right`(x+1)^2-11/4` `=` `0` `(x+1)^2-11/4` `+11/4` `=` `0` `+11/4` Add `11/4` to both sides `(x+1)^2` `=` `11/4` Finally, take the square root of both sides and continue solving for `x`.`(x+1)^2` `=` `11/4` `sqrt((x+1)^2)` `=` `sqrt(11/4)` `x+1` `=` `+-(sqrt11)/2` `x+1` `-1` `=` `+-(sqrt11)/2` `-1` Subtract `1` from both sides `x` `=` `-1+-(sqrt11)/2` The roots can also be written individually`=` `-1+(sqrt11)/2` `=` `-1-(sqrt11)/2` `-1+-(sqrt11)/2` -
Question 8 of 10
8. Question
Solve by completing the square`-4x^2+21x=x+5`Hint
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Help VideoCompleting the square is done by taking the coefficient of `x`, halving it and then squaring it. Then we add the new value to both sides of the equation.Simplify the equation and divide the equation by `-4` to reduce the coefficient of `x^2``-4x^2+21x` `=` `x+5` `-4x^2+21x` `-x` `=` `x+5` `-x` Subtract `x` from both sides `-4x^2+20x` `=` `5` `(-4x^2+20x)``-:(-4)` `=` `5``-:(-4)` Divide both sides by `-4` `x^2-5x` `=` `-5/4` Take the coefficient of the middle term, divide it by two and then square it.`x^2``-5``x` `=` `-5/4` Coefficient of the middle term `-5``-:2` `=` `-5/2` Divide it by `2` `(-5/2)^2` `=` `25/4` Square This number will make a perfect square on the left side.Add `25/4` to both sides to keep the balance, then form a square of a binomial`x^2-5x` `=` `-5/4` `x^2-5x` `+25/4` `=` `-5/4` `+25/4` `(x-5/2)^2` `=` `20/4` `(x-5/2)^2` `=` `5` Finally, take the square root of both sides and continue solving for `x`.`(x-5/2)^2` `=` `5` `sqrt((x-5/2)^2)` `=` `sqrt5` `x-5/2` `=` `+-sqrt5` `x-5/2` `+5/2` `=` `+-sqrt5` `+5/2` Add 5/2 to both sides `x` `=` `5/2+-sqrt5` The roots can also be written individually`=` `5/2+sqrt5` `=` `5/2-sqrt5` `5/2+-sqrt5` -
Question 9 of 10
9. Question
Solve by completing the square`9x^2+10x-100=4x^2+15`Hint
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Fantastic!
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Help VideoCompleting the square is done by taking the coefficient of `x`, halving it and then squaring it. Then we add the new value to both sides of the equation.Simplify the equation, making sure that `x^2` has `1` as a coefficient`9x^2+10x-100` `=` `4x^2+15` `9x^2+10x-100` `-4x^2` `=` `4x^2+15` `-4x^2` Subtract `4x^2` from both sides `5x^2+10x-100` `=` `15` `5x^2+10x-100` `+100` `=` `15` `+100` Add `100` to both sides `5x^2+10x` `=` `115` `5x^2+10x``-:5` `=` `115``-:5` Divide both sides by `5` `x^2+2x` `=` `23` Take the coefficient of the middle term, divide it by two and then square it.`x^2+``2``x` `=` `23` Coefficient of the middle term `2``-:2` `=` `1` Divide it by `2` `(1)^2` `=` `1` Square This number will make a perfect square on the left side.Add `1` to both sides to keep the balance, then form a square of a binomial`x^2+2x` `=` `23` `x^2+2x` `+1` `=` `23` `+1` `(x+1)^2` `=` `24` Finally, take the square root of both sides and continue solving for `x`.`(x+1)^2` `=` `24` `sqrt((x+1)^2)` `=` `sqrt(24)` `x+1` `=` `+-2sqrt6` `x+1` `-1` `=` `+-2sqrt6` `-1` Subtract `1` from both sides `x` `=` `-1+-2sqrt6` The roots can also be written individually`=` `-1+2sqrt6` `=` `-1-2sqrt6` `-1+-2sqrt6` -
Question 10 of 10
10. Question
Find the vertex of the function:`y=3x^2-9x+4`Hint
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Correct!
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Help VideoVertex Form
`y=a(x-h)^2+k`where `(h,k)` is the vertexCompleting the square is done by taking the coefficient of `x`, halving it and then squaring it. Then we add the new value to both sides of the equation.To find the vertex, transform the given function into vertex formStart by leaving `x` terms on the right side and factoring it out`y` `=` `3x^2-9x+4` `y``-4` `=` `3x^2-9x+4``-4` Subtract `4` from both sides `y-4` `=` `3x^2-9x` `y-4` `=` `3(x^2-3x)` Factor out `3` Take the coefficient of the `x` term, divide it by two and then square it.`y-4` `=` `3(x^2``-3``x)` Coefficient of the `x` term `=` $$\frac{\color{#00880A}{-3}}{2}$$ Divide it by `2` $$({\frac{\color{#00880A}{-3}}{2}})^2$$ `=` `9/4` Square This number will make the `x` terms a perfect square.Add and subtract `9/4` to the grouping of `x` terms to keep the balance.`y-4` `=` `3(x^2-3x)` `y-4` `=` `3(x^2-3x+``9/4``-``9/4``)` Add and subtract `9/4` Now, transform the grouping of `x` terms into a square of a binomial.[show cross method with two `x`’s on the left and two `-3/2`s on the right]`y-4` `=` `3[(x-3/2)(x-3/2)-9/4]` `y-4` `=` `3[(x-3/2)^2-9/4]` Now, distribute `3` and leave `y` on the left side`y-4` `=` `3[(x-3/2)^2-9/4]` `y-4` `=` `3(x-3/2)^2-3(9/4)` Distribute `3` `y-4` `=` `3(x-3/2)^2-27/4` `y-4``+4` `=` `3(x-3/2)^2-27/4``+4` Add `4` to both sides `y` `=` `3(x-3/2)^2-11/4` Finally, the function is in vertex formCompare the function to the general vertex form to get the vertex`y` `=` `a(x-h)^2+k` `y` `=` `3(x-3/2)^2-11/4` `h` `=` `3/2` `=` `1 1/2` `k` `=` `-11/4` `=` `-2 3/4` `(1 1/2, -2 3/4)`
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- Equivalent Fractions 2
- Equivalent Fractions 3
- Equivalent Fractions 4
- Simplify Fractions 1
- Simplify Fractions 2
- Simplify Fractions 3
- Find the LCM
- Comparing Fractions 1
- Comparing Fractions 2
- Comparing Fractions 3
- Mixed and Improper Fractions 1
- Mixed and Improper Fractions 2
- Mixed and Improper Fractions 3
- Add and Subtract Fractions 1
- Add and Subtract Fractions 2
- Add and Subtract Fractions 3
- Add and Subtract Fractions 4
- Multiply and Divide Fractions 1
- Multiply and Divide Fractions 2
- Multiply and Divide Fractions 3
- Add and Subtract Mixed Numbers 1
- Add and Subtract Mixed Numbers 2
- Add and Subtract Mixed Numbers 3
- Multiply and Divide Mixed Fractions 1
- Multiply and Divide Mixed Fractions 2
- Multiply and Divide Mixed Fractions 3
- Multiply and Divide Mixed Fractions 4
- Fraction Word Problems: Addition and Subtraction 1
- Fraction Word Problems: Addition and Subtraction 2
- Fraction Word Problems: Addition and Subtraction 3
- Fraction Word Problems: Addition and Subtraction 4
- Fraction Word Problems: Multiplication and Division
- Find the Fraction of a Quantity
- Find the Quantity of a Quantity 1
- Find the Quantity of a Quantity 2
- Find the Fraction of a Quantity: Word Problems 1
- Find the Fraction of a Quantity: Word Problems 2
- Find the Fraction of a Quantity: Word Problems 3
- Find the Fraction of a Quantity: Word Problems 4
- Find the Quantity of a Quantity: Word Problems
- Order of Operations Involving Fractions 1
- Order of Operations Involving Fractions 2
- Add and Subtract Negative Numbers on the Number Line 1
- Add and Subtract Negative Numbers on the Number Line 2
- Add and Subtract Negative Numbers on the Number Line 3
- Add and Subtract Negative Numbers on the Number Line 4
- Add and Subtract Negative Numbers 1
- Add and Subtract Negative Numbers 2
- Add and Subtract Negative Numbers 3
- Add and Subtract Negative Numbers 4
- Multiply and Divide Negative Numbers 1
- Multiply and Divide Negative Numbers 2
- Multiply and Divide Negative Numbers 3
- Negative Numbers: Order of Operations
- Negative Numbers with Variables 1
- Negative Numbers with Variables 2
- Negative Numbers with Variables 3
- Negative Numbers with Substitution 1
- Negative Numbers with Substitution 2
- Negative Numbers with Substitution 3
- Negative Numbers Word Problems
- Decimal Place Values 1
- Decimal Place Values 2
- Expressing Decimals as a Fraction 1
- Expressing Decimals as a Fraction 2
- Expressing Decimals as a Fraction 3
- Converting Decimals Involving Money (Cents and Dollars) 1
- Converting Decimals Involving Money (Cents and Dollars) 2
- Converting Decimals Involving Money (Cents and Dollars) 3
- Add and Subtract Decimals 1
- Add and Subtract Decimals 2
- Add and Subtract Decimals 3
- Add and Subtract Decimals 4
- Multiply Decimals 1
- Multiply Decimals 2
- Multiply Decimals 3
- Divide Decimals 1
- Divide Decimals 2
- Divide Decimals 3
- Divide Decimals 4
- Converting Fractions to Decimals 1
- Converting Fractions to Decimals 2
- Converting Fractions to Decimals 3
- Rounding Whole Numbers 1
- Rounding Decimals 1
- Rounding Decimals 2
- Rounding Decimals 3
- Decimal Word Problems: Addition and Subtraction 1
- Decimal Word Problems: Addition and Subtraction 2
- Decimal Word Problems: Addition and Subtraction 3
- Decimal Word Problems: Multiplication 1
- Decimal Word Problems: Multiplication 2
- Decimal Word Problems: Multiplication 3
- Decimal Word Problems: Division 1
- Decimal Word Problems: Division 2
- One Step Equations – Add and Subtract 1
- One Step Equations – Add and Subtract 2
- One Step Equations – Add and Subtract 3
- One Step Equations – Add and Subtract 4
- One Step Equations – Multiply and Divide 1
- One Step Equations – Multiply and Divide 2
- One Step Equations – Multiply and Divide 3
- One Step Equations – Multiply and Divide 4
- Two Step Equations 1
- Two Step Equations 2
- Two Step Equations 3
- Two Step Equations 4
- Multi-Step Equations 1
- Multi-Step Equations 2
- Solve Equations using the Distributive Property 1
- Solve Equations using the Distributive Property 2
- Solve Equations using the Distributive Property 3
- Equations with Variables on Both Sides 1
- Equations with Variables on Both Sides 2
- Equations with Variables on Both Sides 3
- Equations with Variables on Both Sides (Fractions) 1
- Equations with Variables on Both Sides (Fractions) 2
- Solve Equations – Variables on Both Sides (Distributive Property) 1
- Solve Equations – Variables on Both Sides (Distributive Property) 2
- Solve Equations – Variables on Both Sides (Distributive Property) 3
- Solve Equations – Variables on Both Sides (Distributive Property) 4
- Writing Equations 1
- Writing Equations 2
- Writing Equations 3
- Writing Equations 4
- Equation Word Problems (Age) 1
- Equation Word Problems (Money) 1
- Equation Word Problems (Harder) 1
- Equation Problems with Substitution 1
- Equation Problems (Geometry) 1
- Equation Problems (Geometry) 2
- Equation Problems (Perimeter)
- Equation Problems (Area)
- Solve for a Variable or Formula 1
- Solve for a Variable or Formula 2
- Solve for a Variable or Formula 3
- One Step Equations – Add and Subtract 1
- One Step Equations – Add and Subtract 2
- One Step Equations – Add and Subtract 3
- One Step Equations – Add and Subtract 4
- One Step Equations – Multiply and Divide 1
- One Step Equations – Multiply and Divide 2
- One Step Equations – Multiply and Divide 3
- One Step Equations – Multiply and Divide 4
- Two Step Equations 1
- Two Step Equations 2
- Two Step Equations 3
- Two Step Equations 4
- Multi-Step Equations 1
- Multi-Step Equations 2
- Solve Equations using the Distributive Property 1
- Solve Equations using the Distributive Property 2
- Solve Equations using the Distributive Property 3
- Equations with Variables on Both Sides 1
- Equations with Variables on Both Sides 2
- Equations with Variables on Both Sides 3
- Equations with Variables on Both Sides (Fractions) 1
- Equations with Variables on Both Sides (Fractions) 2
- Solve Equations – Variables on Both Sides (Distributive Property) 1
- Solve Equations – Variables on Both Sides (Distributive Property) 2
- Solve Equations – Variables on Both Sides (Distributive Property) 3
- Solve Equations – Variables on Both Sides (Distributive Property) 4
- Writing Equations 1
- Writing Equations 2
- Writing Equations 3
- Writing Equations 4
- Equation Word Problems (Age) 1
- Equation Word Problems (Money) 1
- Equation Word Problems (Harder) 1
- Equation Problems with Substitution 1
- Equation Problems (Geometry) 1
- Equation Problems (Geometry) 2
- Equation Problems (Perimeter)
- Equation Problems (Area)
- Solve for a Variable or Formula 1
- Solve for a Variable or Formula 2
- Solve for a Variable or Formula 3
- Factorial Notation
- Fundamental Counting Principle 1
- Fundamental Counting Principle 2
- Fundamental Counting Principle 3
- Combinations 1
- Combinations 2
- Combinations with Restrictions 1
- Combinations with Restrictions 2
- Combinations with Probability
- Basic Permutations 1
- Basic Permutations 2
- Basic Permutations 3
- Permutation Problems 1
- Permutation Problems 2
- Permutations with Repetitions 1
- Permutations with Repetitions 2
- Permutations with Restrictions 1
- Permutations with Restrictions 2
- Permutations with Restrictions 3
- Permutations with Restrictions 4
- Factorial Notation
- Fundamental Counting Principle 1
- Fundamental Counting Principle 2
- Fundamental Counting Principle 3
- Combinations 1
- Combinations 2
- Combinations with Restrictions 1
- Combinations with Restrictions 2
- Combinations with Probability
- Basic Permutations 1
- Basic Permutations 2
- Basic Permutations 3
- Permutation Problems 1
- Permutation Problems 2
- Permutations with Repetitions 1
- Permutations with Repetitions 2
- Permutations with Restrictions 1
- Permutations with Restrictions 2
- Permutations with Restrictions 3
- Permutations with Restrictions 4
- Exponent Notation 1
- Exponent Notation 2
- Exponent Notation 3
- Multiply Exponents (Product Rule) 1
- Multiply Exponents (Product Rule) 2
- Multiply Exponents (Product Rule) 3
- Multiply Exponents (Product Rule) 4
- Divide Exponents (Quotient Rule) 1
- Divide Exponents (Quotient Rule) 2
- Powers of a Power 1
- Powers of a Power 2
- Powers of a Power 3
- Powers of a Power 4
- Zero Powers 1
- Zero Powers 2
- Negative Exponents 1
- Negative Exponents 2
- Negative Exponents 3
- Rational Exponents 1
- Rational Exponents 2
- Rational Exponents 3
- Mixed Operations with Exponents 1
- Mixed Operations with Exponents 2
- Exponent Notation 1
- Exponent Notation 2
- Exponent Notation 3
- Multiply Exponents (Product Rule) 1
- Multiply Exponents (Product Rule) 2
- Multiply Exponents (Product Rule) 3
- Multiply Exponents (Product Rule) 4
- Divide Exponents (Quotient Rule) 1
- Divide Exponents (Quotient Rule) 2
- Powers of a Power 1
- Powers of a Power 2
- Powers of a Power 3
- Powers of a Power 4
- Zero Powers 1
- Zero Powers 2
- Negative Exponents 1
- Negative Exponents 2
- Negative Exponents 3
- Rational Exponents 1
- Rational Exponents 2
- Rational Exponents 3
- Mixed Operations with Exponents 1
- Mixed Operations with Exponents 2
- Exponent Notation 1
- Exponent Notation 2
- Exponent Notation 3
- Multiply Exponents (Product Rule) 1
- Multiply Exponents (Product Rule) 2
- Multiply Exponents (Product Rule) 3
- Multiply Exponents (Product Rule) 4
- Divide Exponents (Quotient Rule) 1
- Divide Exponents (Quotient Rule) 2
- Powers of a Power 1
- Powers of a Power 2
- Powers of a Power 3
- Powers of a Power 4
- Zero Powers 1
- Zero Powers 2
- Negative Exponents 1
- Negative Exponents 2
- Negative Exponents 3
- Find the Hypotenuse 1
- Find the Hypotenuse 2
- Find the Hypotenuse 3
- Find a Side 1
- Find a Side 2
- Find a Side 3
- Pythagoras Problems 1
- Pythagoras Problems 2
- Pythagoras Problems 3
- Pythagoras Mixed Review 1
- Pythagoras Mixed Review 2
- Pythagoras Mixed Review 3
- Pythagoras Mixed Review 4
- Find the Hypotenuse 1
- Find the Hypotenuse 2
- Find the Hypotenuse 3
- Find a Side 1
- Find a Side 2
- Find a Side 3
- Pythagoras Problems 1
- Pythagoras Problems 2
- Pythagoras Problems 3
- Pythagoras Mixed Review 1
- Pythagoras Mixed Review 2
- Pythagoras Mixed Review 3
- Pythagoras Mixed Review 4
- Complementary and Supplementary Angles 1
- Complementary and Supplementary Angles 2
- Complementary and Supplementary Angles 3
- Vertical, Revolution and Reflex Angles 1
- Vertical, Revolution and Reflex Angles 2
- Alternate, Corresponding and Co-Interior Angles 1
- Alternate, Corresponding and Co-Interior Angles 2
- Alternate, Corresponding and Co-Interior Angles 3
- Angles and Parallel Lines
- Triangle Geometry 1
- Triangle Geometry 2
- Triangle Geometry 3
- Quadrilateral Geometry 1
- Quadrilateral Geometry 2
- Ratios 1
- Ratios 2
- Ratios 3
- Ratios 4
- Proportions 1
- Proportions 2
- Dividing Quantities
- Rates 1
- Rates 2
- Rates 3
- Rates 4
- Scales 1
- Scales 2
- Scales 3
- Vertical Translations (Shifts) 1
- Vertical Translations (Shifts) 2
- Vertical Translations (Shifts) from a Point
- Horizontal Translations (Shifts) 1
- Horizontal Translations (Shifts) from a Point
- Horizontal Translations (Shifts) from a Graph
- Horizontal and Verticals Translations (Shifts) from a Graph
- Sketch a Graph using Translations (Shifts)
- Write the Equation from a Graph
- Write the Equation from Translations (Shifts) 1
- Vertical Dilations (Stretch/Shrink)
- Horizontal Dilations (Stretch/Shrink) 1
- Horizontal Dilations (Stretch/Shrink) 2
- Horizontal Dilations (Stretch/Shrink) – Scale Factor
- Horizontal and Vertical Dilations (Stretch/Shrink) 1
- Horizontal and Vertical Dilations (Stretch/Shrink) 2
- Horizontal and Vertical Dilations (Stretch/Shrink) 3
- Graphing Reflections 1
- Graphing Reflections 2
- Reflection with Rotation
- Combinations of Transformations: Order
- Combinations of Transformations: Coordinates
- Combinations of Transformations: Find Equation 1
- Combinations of Transformations: Find Equation 2
- Combinations of Transformations: Find Equation 3
- Simplify Square Roots 1
- Simplify Square Roots 2
- Simplify Square Roots 3
- Simplify Square Roots 4
- Simplify Radicals with Variables 1
- Simplify Radicals with Variables 2
- Simplify Radicals with Variables 3
- Rewriting Entire and Mixed Radicals 1
- Rewriting Entire and Mixed Radicals 2
- Add and Subtract Radical Expressions (Basic) 1
- Add and Subtract Radical Expressions (Basic) 2
- Add and Subtract Radical Expressions (Basic) 3
- Add and Subtract Radical Expressions 1
- Add and Subtract Radical Expressions 2
- Add and Subtract Radical Expressions 3
- Multiply Radical Expressions 1
- Multiply Radical Expressions 2
- Multiply Radical Expressions 3
- Multiply Radical Expressions 4
- Divide Radical Expressions 1
- Divide Radical Expressions 2
- Divide Radical Expressions 3
- Multiply and Divide Radical Expressions
- Simplify Radical Expressions using the Distributive Property 1
- Simplify Radical Expressions using the Distributive Property 2
- Simplify Radical Expressions using the Distributive Property 3
- Simplify Binomial Radical Expressions using the FOIL Method 1
- Simplify Binomial Radical Expressions using the FOIL Method 2
- Rationalizing the Denominator 1
- Rationalizing the Denominator 2
- Rationalizing the Denominator 3
- Rationalizing the Denominator 4
- Rationalizing the Denominator using Conjugates
- Simplify Square Roots 1
- Simplify Square Roots 2
- Simplify Square Roots 3
- Simplify Square Roots 4
- Simplify Radicals with Variables 1
- Simplify Radicals with Variables 2
- Simplify Radicals with Variables 3
- Rewriting Entire and Mixed Radicals 1
- Rewriting Entire and Mixed Radicals 2
- Add and Subtract Radical Expressions (Basic) 1
- Add and Subtract Radical Expressions (Basic) 2
- Add and Subtract Radical Expressions (Basic) 3
- Add and Subtract Radical Expressions 1
- Add and Subtract Radical Expressions 2
- Add and Subtract Radical Expressions 3
- Multiply Radical Expressions 1
- Multiply Radical Expressions 2
- Multiply Radical Expressions 3
- Multiply Radical Expressions 4
- Divide Radical Expressions 1
- Divide Radical Expressions 2
- Divide Radical Expressions 3
- Multiply and Divide Radical Expressions
- Simplify Radical Expressions using the Distributive Property 1
- Simplify Radical Expressions using the Distributive Property 2
- Simplify Radical Expressions using the Distributive Property 3
- Simplify Binomial Radical Expressions using the FOIL Method 1
- Simplify Binomial Radical Expressions using the FOIL Method 2
- Rationalizing the Denominator 1
- Rationalizing the Denominator 2
- Rationalizing the Denominator 3
- Rationalizing the Denominator 4
- Rationalizing the Denominator using Conjugates
- Add & Subtract Matrices 1
- Add & Subtract Matrices 2
- Add & Subtract Matrices 3
- Multiply Matrices 1
- Multiply Matrices 2
- Matrices: Multiplication Word Problems
- Determinant of a Matrix
- Inverse of a Matrix
- Matrices: Systems of Equations 1
- Matrices: Systems of Equations 2
- Gauss Jordan Elimination
- Cramer’s Rule
- Solve a System of Equations by Graphing
- Substitution Method 1
- Substitution Method 2
- Substitution Method 3
- Substitution Method 4
- Elimination Method 1
- Elimination Method 2
- Elimination Method 3
- Elimination Method 4
- Systems of Nonlinear Equations
- Systems of Equations Word Problems 1
- Systems of Equations Word Problems 2
- 3 Variable Systems of Equations – Substitution Method
- 3 Variable Systems of Equations – Elimination Method
- Solve a System of Equations by Graphing
- Substitution Method 1
- Substitution Method 2
- Substitution Method 3
- Substitution Method 4
- Elimination Method 1
- Elimination Method 2
- Elimination Method 3
- Elimination Method 4
- Systems of Nonlinear Equations
- Systems of Equations Word Problems 1
- Systems of Equations Word Problems 2
- 3 Variable Systems of Equations – Substitution Method
- 3 Variable Systems of Equations – Elimination Method
- Greatest Common Factor 1
- Greatest Common Factor 2
- Factor Expressions using GCF
- Factor Expressions 1
- Factor Expressions 2
- Factor Expressions with Negative Numbers
- Factor Difference of Two Squares 1
- Factor Difference of Two Squares 2
- Factor Difference of Two Squares 3
- Factor by Grouping
- Factor Difference of Two Squares (Harder) 1
- Factor Difference of Two Squares (Harder) 2
- Factor Difference of Two Squares (Harder) 3
- Factor Quadratics 1
- Factor Quadratics 2
- Factor Quadratics 3
- Factor Quadratics with Leading Coefficient more than 1 (1)
- Factor Quadratics with Leading Coefficient more than 1 (2)
- Factor Quadratics with Leading Coefficient more than 1 (3)
- Factor Quadratics (Complex)
- Solve Quadratics by Factoring 1
- Solve Quadratics by Factoring 2
- The Quadratic Formula
- Completing the Square 1
- Completing the Square 2
- Intro to Quadratic Functions (Parabolas) 1
- Intro to Quadratic Functions (Parabolas) 2
- Intro to Quadratic Functions (Parabolas) 3
- Graph Quadratic Functions in Standard Form 1
- Graph Quadratic Functions in Standard Form 2
- Graph Quadratic Functions by Completing the Square
- Graph Quadratic Functions in Vertex Form
- Write a Quadratic Equation from the Graph
- Write a Quadratic Equation Given the Vertex and Another Point
- Quadratic Inequalities 1
- Quadratic Inequalities 2
- Combining Methods for Solving Quadratic Equations
- Convert Between Logarithmic and Exponent Form 1
- Convert Between Logarithmic and Exponent Form 2
- Evaluate Logarithms 1
- Evaluate Logarithms 2
- Evaluate Logarithms 3
- Expand Log Expressions
- Simplify Log Expressions 1
- Simplify Log Expressions 2
- Simplify Log Expressions 3
- Logarithmic Equations 1
- Logarithmic Equations 2
- Logarithmic Equations 3
- Change Of Base Formula
- Solving Exponential Equations Using Log Laws
- Simplify Roots of Negative Numbers 1
- Simplify Roots of Negative Numbers 2
- Powers of the Imaginary Unit 1
- Powers of the Imaginary Unit 2
- Solve Quadratic Equations with Complex Solutions 1
- Solve Quadratic Equations with Complex Solutions 2
- Equality of Complex Numbers
- Add and Subtract Complex Numbers 1
- Add and Subtract Complex Numbers 2
- Multiply Complex Numbers 1
- Multiply Complex Numbers 2
- Divide Complex Numbers
- Complex Numbers – Product of Linear Factors 1
- Complex Numbers – Product of Linear Factors 2
- Mixed Operations with Complex Numbers
- One Step Inequalities 1
- One Step Inequalities 2
- Two Step Inequalities
- Multi-Step Inequalities 1
- Multi-Step Inequalities 2
- Compound Inequalities 1
- Compound Inequalities 2
- Compound Inequalities 3
- Inequality Word Problems 1
- Inequality Word Problems 2
- One Step Inequalities 1
- One Step Inequalities 2
- Two Step Inequalities
- Multi-Step Inequalities 1
- Multi-Step Inequalities 2
- Compound Inequalities 1
- Compound Inequalities 2
- Compound Inequalities 3
- Inequality Word Problems 1
- Inequality Word Problems 2
- Absolute Value Inequalities
- Graph Linear Inequalities 1
- Graph Linear Inequalities 2
- Simplify Algebraic Expressions 1
- Simplify Algebraic Expressions 2
- Simplify Algebraic Expressions 3
- Substitution and Evaluating Algebraic Expressions
- Substitution and Evaluating Multi-Variable Algebraic Expressions
- Substitution and Evaluating Rational Algebraic Expressions
- Substitution and Evaluating Algebraic Expressions with Negative Numbers 1
- Substitution and Evaluating Algebraic Expressions with Negative Numbers 2
- Simplify Algebraic Expressions using the Distributive Property 1
- Simplify Algebraic Expressions using the Distributive Property 2
- Simplify Algebraic Expressions using the Distributive Property 3
- Write Algebraic Expressions from Diagrams
- Evaluate Algebraic Expressions Problems
- Combine Like Terms 1
- Combine Like Terms 2
- Combine Like Terms 3
- Simplify Algebraic Expressions 1
- Simplify Algebraic Expressions 2
- Simplify Algebraic Expressions 3
- Substitution and Evaluating Algebraic Expressions
- Substitution and Evaluating Multi-Variable Algebraic Expressions
- Substitution and Evaluating Rational Algebraic Expressions
- Substitution and Evaluating Algebraic Expressions with Negative Numbers 1
- Substitution and Evaluating Algebraic Expressions with Negative Numbers 2
- Simplify Algebraic Expressions using the Distributive Property 1
- Simplify Algebraic Expressions using the Distributive Property 2
- Simplify Algebraic Expressions using the Distributive Property 3
- Write Algebraic Expressions from Diagrams
- Evaluate Algebraic Expressions Problems
- Combine Like Terms 1
- Combine Like Terms 2
- Combine Like Terms 3
- Compass Bearings and True Bearings 1
- Compass Bearings and True Bearings 2
- Solving for Bearings
- Bearings from Opposite Direction
- Using Bearings to Find Distance 1
- Using Bearings to Find Distance 2
- Using Bearings to Find Distance 3
- Using Bearings and Distances to Find Angles
- Working with Radial Surveys 1
- Working with Radial Surveys 2
- Working with Radial Surveys 3
- Working with Radial Surveys 4
- Multiply Binomials
- Multiply Binomials – FOIL Method
- FOIL Method – Same First Variable 1
- FOIL Method – Same First Variable 2
- FOIL Method – 3 Terms
- Expand Perfect Squares
- Difference of Two Squares
- Difference of Two Squares (Longer Expressions)
- Greatest Common Factor 1
- Greatest Common Factor 2
- Factor Expressions using GCF
- Factor Expressions 1
- Factor Expressions 2
- Factor Expressions with Negative Numbers
- Factor Difference of Two Squares 1
- Factor Difference of Two Squares 2
- Factor Difference of Two Squares 3
- Factor by Grouping
- Factor Difference of Two Squares (Harder) 1
- Factor Difference of Two Squares (Harder) 2
- Factor Difference of Two Squares (Harder) 3
- Factor Quadratics 1
- Factor Quadratics 2
- Factor Quadratics 3
- Factor Quadratics with Leading Coefficient more than 1 (1)
- Factor Quadratics with Leading Coefficient more than 1 (2)
- Factor Quadratics with Leading Coefficient more than 1 (3)
- Factor Quadratics (Complex)
- Convert Measurements (Length) 1
- Convert Measurements (Length) 2
- Convert Measurements (Volume) 1
- Convert Measurements (Volume) 2
- Convert Measurements (Mass) 1
- Convert Measurements (Mass) 2
- Add & Subtract Matrices 1
- Add & Subtract Matrices 2
- Add & Subtract Matrices 3
- Multiply Matrices 1
- Multiply Matrices 2
- Matrices: Multiplication Word Problems
- Determinant of a Matrix
- Inverse of a Matrix
- Matrices: Systems of Equations 1
- Matrices: Systems of Equations 2
- Gauss Jordan Elimination
- Cramer’s Rule
- Add and Subtract Negative Numbers on the Number Line 1
- Add and Subtract Negative Numbers on the Number Line 2
- Add and Subtract Negative Numbers on the Number Line 3
- Add and Subtract Negative Numbers on the Number Line 4
- Add and Subtract Negative Numbers 1
- Add and Subtract Negative Numbers 2
- Add and Subtract Negative Numbers 3
- Add and Subtract Negative Numbers 4
- Multiply and Divide Negative Numbers 1
- Multiply and Divide Negative Numbers 2
- Multiply and Divide Negative Numbers 3
- Negative Numbers: Order of Operations
- Negative Numbers with Variables 1
- Negative Numbers with Variables 2
- Negative Numbers with Variables 3
- Negative Numbers with Substitution 1
- Negative Numbers with Substitution 2
- Negative Numbers with Substitution 3
- Negative Numbers Word Problems
- Convert To and From Scientific Notation
- Multiply & Divide in Scientific Notation
- Scientific Notation Word Problems
- Find the Hypotenuse 1
- Find the Hypotenuse 2
- Find the Hypotenuse 3
- Find a Side 1
- Find a Side 2
- Find a Side 3
- Pythagoras Problems 1
- Pythagoras Problems 2
- Pythagoras Problems 3
- Pythagoras Mixed Review 1
- Pythagoras Mixed Review 2
- Pythagoras Mixed Review 3
- Pythagoras Mixed Review 4
- Increase and Decrease an Amount by a Percent – Word Problems 1
- Increase and Decrease an Amount by a Percent – Word Problems 2
- Percent of Change
- Percent of Change – Word Problems
- Percent of an Amount – Word Problems 1
- Percent of an Amount – Word Problems 2
- Ratios 1
- Ratios 2
- Ratios 3
- Ratios 4
- Proportions 1
- Proportions 2
- Dividing Quantities
- Rates 1
- Rates 2
- Rates 3
- Rates 4
- Scales 1
- Scales 2
- Scales 3
- Increase and Decrease an Amount by a Percent – Word Problems 1
- Increase and Decrease an Amount by a Percent – Word Problems 2
- Percent of Change
- Percent of Change – Word Problems
- Percent of an Amount – Word Problems 1
- Percent of an Amount – Word Problems 2
- Find Mean, Mode, Median and Range 1
- Find Mean, Mode, Median and Range 2
- Find Mean, Mode, Median and Range 3
- Create Frequency Tables & Graphs
- Interpret Frequency Tables 1
- Interpret Frequency Tables 2
- Create and Interpret Bar & Line Graphs (Histograms)
- Interpret Cumulative Frequency Tables and Charts 1
- Interpret Cumulative Frequency Tables and Charts 2
- Create Grouped Frequency Tables and Graphs
- Interpret Grouped Frequency Tables
- Create and Interpret Dot Plots (Line Plots) 1
- Create and Interpret Dot Plots (Line Plots) 2
- Finding the Interquartile Range 1
- Finding the Interquartile Range 2
- Create and Interpret Box & Whisker Plots 1
- Create and Interpret Box & Whisker Plots 2
- Create and Interpret Box & Whisker Plots 3
- Create and Interpret Box & Whisker Plots 4
- Create and Interpret Stem & Leaf Plots 1
- Create and Interpret Stem & Leaf Plots 2
- Create and Interpret Stem & Leaf Plots 3
- Create and Interpret Stem & Leaf Plots 4
- Mean and Standard Deviation
- The Normal Curve 1
- The Normal Curve 2
- The Normal Curve 3
- Z-Values (Z-Scores)
- Vertices and Edges
- Degrees 1
- Degrees 2
- Degrees 3
- Drawing a Network 1
- Drawing a Network 2
- Completing a Table from a Network Diagram
- Network from Maps and Plans
- Identify Paths and Cycles
- Eulerian Trails and Circuits 1
- Eulerian Trails and Circuits 2
- Identify Spanning Trees
- Minimum Spanning Trees 1
- Minimum Spanning Trees 2
- Shortest Path 1
- Shortest Path 2
- Convert Units of Time 1
- Convert Units of Time 2
- Convert Units of Time 3
- Add Units of Time
- Subtract Units of Time
- Convert 12 Hour Time to 24 Hour Time 1
- Convert 12 Hour Time to 24 Hour Time 2
- Convert 12 Hour Time to 24 Hour Time 3
- Convert 24 Hour Time to 12 Hour Time 1
- Convert 24 Hour Time to 12 Hour Time 2
- Add and Subtract Time Using the Calculator
- Time Difference and Longitudes 1
- Time Difference and Longitudes 2
- Time Difference and Longitudes 3
- International Time Zones 1
- International Time Zones 2
- Time and Travelling Word Problems 1
- Time and Travelling Word Problems 2
- Great Circle Distances
- FOIL Method – 3 Terms
- Division of Polynomials
- Remainder Theorem
- Factor Theorem
- Graphing Polynomials
- Graph Polynomials
- Solve a System of Equations by Graphing
- Substitution Method
- Elimination Method
- Systems of Nonlinear Equations
- Systems of Equations Word Problems
- 3 Variable Systems of Equations – Substitution Method
- 3 Variable Systems of Equations – Elimination Method
- Convert Radians and Degrees 1
- Convert Radians and Degrees 2
- Convert Radians and Degrees 3
- Radians and Arc Length (Radians)
- Areas of Sectors and Segments (Radians)
- The Unit Circle
- Unit Circle: Find Angles
- Unit Circle: Trig Ratios
- Unit Circle: Exact Values 1
- Unit Circle: Exact Values 2
- Unit Circle: Find Angles from Equations
- Intro to Trigonometric Ratios (SOH CAH TOA) 1
- Intro to Trigonometric Ratios (SOH CAH TOA) 2
- Round Angles (Degrees, Minutes, Seconds)
- Evaluate Trig Expressions using a Calculator 1
- Evaluate Trig Expressions using a Calculator 2
- Trig Ratios: Solving for a Side 1
- Trig Ratios: Solving for a Side 2
- Trig Ratios: Solving for an Angle
- Angles of Elevation and Depression
- Trig Ratios Word Problems: Solving for a Side
- Trig Ratios Word Problems: Solving for an Angle
- Area of Non-Right Angled Triangles 1
- Area of Non-Right Angled Triangles 2
- Law of Sines: Solving for a Side
- Law of Sines: Solving for an Angle
- Law of Cosines: Solving for a Side
- Law of Cosines: Solving for an Angle
- Trigonometry Word Problems 1
- Trigonometry Word Problems 2
- Trigonometry Mixed Review: Part 1 (1)
- Trigonometry Mixed Review: Part 1 (2)
- Trigonometry Mixed Review: Part 1 (3)
- Trigonometry Mixed Review: Part 1 (4)
- Trigonometry Mixed Review: Part 2 (1)
- Trigonometry Mixed Review: Part 2 (2)
- Trigonometry Mixed Review: Part 2 (3)
- Intro to Trigonometric Ratios (SOH CAH TOA) 1
- Intro to Trigonometric Ratios (SOH CAH TOA) 2
- Round Angles (Degrees, Minutes, Seconds)
- Evaluate Trig Expressions using a Calculator 1
- Evaluate Trig Expressions using a Calculator 2
- Trig Ratios: Solving for a Side 1
- Trig Ratios: Solving for a Side 2
- Trig Ratios: Solving for an Angle
- Angles of Elevation and Depression
- Trig Ratios Word Problems: Solving for a Side
- Trig Ratios Word Problems: Solving for an Angle
- Area of Non-Right Angled Triangles 1
- Area of Non-Right Angled Triangles 2
- Law of Sines: Solving for a Side
- Law of Sines: Solving for an Angle
- Law of Cosines: Solving for a Side
- Law of Cosines: Solving for an Angle
- Trigonometry Word Problems 1
- Trigonometry Word Problems 2
- Trigonometry Mixed Review: Part 1 (1)
- Trigonometry Mixed Review: Part 1 (2)
- Trigonometry Mixed Review: Part 1 (3)
- Trigonometry Mixed Review: Part 1 (4)
- Trigonometry Mixed Review: Part 2 (1)
- Trigonometry Mixed Review: Part 2 (2)
- Trigonometry Mixed Review: Part 2 (3)
- Intro to Trigonometric Ratios (SOH CAH TOA) 1
- Intro to Trigonometric Ratios (SOH CAH TOA) 2
- Round Angles (Degrees, Minutes, Seconds)
- Evaluate Trig Expressions using a Calculator 1
- Evaluate Trig Expressions using a Calculator 2
- Trig Ratios: Solving for a Side 1
- Trig Ratios: Solving for a Side 2
- Trig Ratios: Solving for an Angle
- Angles of Elevation and Depression
- Trig Ratios Word Problems: Solving for a Side
- Trig Ratios Word Problems: Solving for an Angle
- Area of Non-Right Angled Triangles 1
- Area of Non-Right Angled Triangles 2
- Law of Sines: Solving for a Side
- Law of Sines: Solving for an Angle
- Law of Cosines: Solving for a Side
- Law of Cosines: Solving for an Angle
- Trigonometry Word Problems 1
- Trigonometry Word Problems 2
- Trigonometry Mixed Review: Part 1 (1)
- Trigonometry Mixed Review: Part 1 (2)
- Trigonometry Mixed Review: Part 1 (3)
- Trigonometry Mixed Review: Part 1 (4)
- Trigonometry Mixed Review: Part 2 (1)
- Trigonometry Mixed Review: Part 2 (2)
- Trigonometry Mixed Review: Part 2 (3)
- Convert Radians and Degrees 1
- Convert Radians and Degrees 2
- Convert Radians and Degrees 3
- Radians and Arc Length (Radians)
- Areas of Sectors and Segments (Radians)
- The Unit Circle
- Unit Circle: Find Angles
- Unit Circle: Trig Ratios
- Unit Circle: Exact Values 1
- Unit Circle: Exact Values 2
- Unit Circle: Find Angles from Equations
- Find Base from Percent of an Amount (Unitary Method) 1
- Find Base from Percent of an Amount (Unitary Method) 2
- Using Percentages with Proportions
- Find Original Amount Before Percent Change (Unitary Method)
- Find Base from Percent of an Amount (Unitary Method) 1
- Find Base from Percent of an Amount (Unitary Method) 2
- Using Percentages with Proportions
- Find Original Amount Before Percent Change (Unitary Method)
- Derivative of Trigonometric Functions 1
- Derivative of Trigonometric Functions 2
- Derivative of Trigonometric Functions 3
- Trig Applications of Differentiation
- Integral of Trigonometric Functions 1
- Integral of Trigonometric Functions 2
- Trig Applications of Integration
- Graph Trigonometric Functions 1
- Graph Trigonometric Functions 2
- Graph Trigonometric Functions 3
- Graph Trigonometric Functions 4
- Derivative of Trigonometric Functions 1
- Derivative of Trigonometric Functions 2
- Derivative of Trigonometric Functions 3
- Trig Applications of Differentiation
- Integral of Trigonometric Functions 1
- Integral of Trigonometric Functions 1
- Trig Applications of Integration
- Graph Trigonometric Functions 1
- Graph Trigonometric Functions 2
- Graph Trigonometric Functions 3
- Graph Trigonometric Functions 4
- Power Rule 1
- Power Rule 2
- Power Rule 3
- Power Rule 4
- Chain Rule 1
- Chain Rule 2
- Product Rule
- Quotient Rule
- Derivatives of Exponential Functions 1
- Derivatives of Exponential Functions 2
- Derivatives of Exponential Functions 3
- Derivatives of Trigonometric Functions 1
- Derivatives of Trigonometric Functions 2
- Derivatives of Trigonometric Functions 3
- Power Rule 1
- Power Rule 2
- Power Rule 3
- Power Rule 4
- Chain Rule 1
- Chain Rule 2
- Product Rule
- Quotient Rule
- Derivatives of Exponential Functions 1
- Derivatives of Exponential Functions 2
- Derivatives of Exponential Functions 3
- Derivatives of Trigonometric Functions 1
- Derivatives of Trigonometric Functions 2
- Derivatives of Trigonometric Functions 3
- Derivatives of Exponential Functions 1
- Derivatives of Exponential Functions 2
- Derivatives of Exponential Functions 3
- Integrals of Exponential Functions
- Definite Integrals of Exponential Functions
- Definite Integrals of Logarithmic Functions
- Indefinite Integrals of Logarithmic Functions 1
- Indefinite Integrals of Logarithmic Functions 2
- Direct Variation
- Inverse Variation 1
- Inverse Variation 2
- Indefinite Integrals 1
- Indefinite Integrals 2
- Indefinite Integrals 3
- Indefinite Integrals of Exponential Functions
- Indefinite Integrals of Logarithmic Functions 1
- Indefinite Integrals of Logarithmic Functions 2
- Indefinite Integrals of Trig Functions
- Definite Integrals
- Definite Integrals of Exponential Functions
- Definite Integrals of Logarithmic Functions
- Definite Integrals of Trig Functions
- Areas Between Curves and the Axis 1
- Areas Between Curves and the Axis 2
- Area Between Curves
- Volumes of Revolution 1
- Volumes of Revolution 2
- Volumes of Revolution 3
- Trapezoidal Rule
- Simpsons Rule
- Applications of Integration for Trig Functions
- One Step Inequalities 1
- One Step Inequalities 2
- Two Step Inequalities
- Multi-Step Inequalities 1
- Multi-Step Inequalities 2
- Compound Inequalities 1
- Compound Inequalities 2
- Compound Inequalities 3
- Inequality Word Problems 1
- Inequality Word Problems 2
- Absolute Value Inequalities
- Graph Linear Inequalities 1
- Graph Linear Inequalities 2
- Multiply Binomials
- Multiply Binomials – FOIL Method
- FOIL Method – Same First Variable 1
- FOIL Method – Same First Variable 2
- FOIL Method – 3 Terms
- Expand Perfect Squares
- Difference of Two Squares
- Difference of Two Squares (Longer Expressions)
- Multiply Binomials
- Multiply Binomials – FOIL Method
- FOIL Method – Same First Variable 1
- FOIL Method – Same First Variable 2
- FOIL Method – 3 Terms
- Expand Perfect Squares
- Difference of Two Squares
- Difference of Two Squares (Longer Expressions)
- Multiply Binomials
- Multiply Binomials – FOIL Method
- FOIL Method – Same First Variable 1
- FOIL Method – Same First Variable 2
- FOIL Method – 3 Terms
- Expand Perfect Squares
- Difference of Two Squares
- Difference of Two Squares (Longer Expressions)
- Solving Exponential Equations
- Factorial Notation
- Fundamental Counting Principle 1
- Fundamental Counting Principle 2
- Fundamental Counting Principle 3
- Combinations 1
- Combinations 2
- Combinations with Restrictions 1
- Combinations with Restrictions 2
- Combinations with Probability
- Basic Permutations 1
- Basic Permutations 2
- Basic Permutations 3
- Permutation Problems 1
- Permutation Problems 2
- Permutations with Repetitions 1
- Permutations with Repetitions 2
- Permutations with Restrictions 1
- Permutations with Restrictions 2
- Permutations with Restrictions 3
- Permutations with Restrictions 4
- Distance Between Two Points 1
- Distance Between Two Points 2
- Distance Between Two Points 3
- Midpoint of a Line 1
- Midpoint of a Line 2
- Midpoint of a Line 3
- Slope of a Line 1
- Slope of a Line 2
- Slope Intercept Form: Graph an Equation 1
- Slope Intercept Form: Graph an Equation 2
- Slope Intercept Form: Write an Equation 1
- Graph Linear Inequalities 1
- Convert Standard Form and Slope Intercept Form 1
- Convert Standard Form and Slope Intercept Form 2
- Point Slope Form 1
- Point Slope Form 2
- Parallel Lines 1
- Parallel Lines 2
- Perpendicular Lines 1
- Perpendicular Lines 2
- Simplify Roots of Negative Numbers 1
- Simplify Roots of Negative Numbers 2
- Powers of the Imaginary Unit 1
- Powers of the Imaginary Unit 2
- Solve Quadratic Equations with Complex Solutions 1
- Solve Quadratic Equations with Complex Solutions 2
- Equality of Complex Numbers
- Add and Subtract Complex Numbers 1
- Add and Subtract Complex Numbers 2
- Multiply Complex Numbers 1
- Multiply Complex Numbers 2
- Divide Complex Numbers
- Complex Numbers – Product of Linear Factors 1
- Complex Numbers – Product of Linear Factors 2
- Mixed Operations with Complex Numbers
- Solve a System of Equations by Graphing
- Substitution Method 1
- Substitution Method 2
- Substitution Method 3
- Substitution Method 4
- Elimination Method 1
- Elimination Method 2
- Elimination Method 3
- Elimination Method 4
- Systems of Nonlinear Equations
- Systems of Equations Word Problems 1
- Systems of Equations Word Problems 2
- 3 Variable Systems of Equations – Substitution Method
- 3 Variable Systems of Equations – Elimination Method
- Identify Functions
- Function Notation
- Domain and Range 1
- Domain and Range 2
- Domain and Range 3
- Odd and Even Functions 1
- Odd and Even Functions 2
- Piecewise Functions
- Graphing the Intersection of Regions 1
- Graphing the Intersection of Regions 2
- Tangents and Normals
- Log and Exponential Tangents and Normals
- Increasing and Decreasing Intervals
- Relative and Absolute Maxima and Minima
- Stationary and Inflection Points
- Curve Sketching 1
- Curve Sketching 2
- Optimisation Problems
- Trig Applications of Differentiation
- Write an Equation for Circle Graphs
- Graph Circles in Standard Form
- Graph Circles in Expanded Form
- Graph Parabolas (Focus and Directrix) 1
- Graph Parabolas (Focus and Directrix) 2
- Graph Parabolas Given the Vertex, Focus and Directrix 1
- Graph Parabolas Given the Vertex, Focus and Directrix 2
- Graph Hyperbolas
- Write an Equation for Hyperbolas
- Graph Cubic Curves
- Write an Equation for Cubic Curves
- The Exponential Curve
- Write an Equation for Circle Graphs
- Graph Circles in Standard Form
- Graph Circles in Expanded Form
- Graph Parabolas (Focus and Directrix) 1
- Graph Parabolas (Focus and Directrix) 2
- Graph Parabolas Given the Vertex, Focus and Directrix 1
- Graph Parabolas Given the Vertex, Focus and Directrix 2
- Graph Hyperbolas
- Write an Equation for Hyperbolas
- Graph Cubic Curves
- Write an Equation for Cubic Curves
- The Exponential Curve
- Lowest Common Denominator
- Add & Subtract Rational Expressions
- Add & Subtract Rational Expressions with Unlike Denominators 1
- Add & Subtract Rational Expressions with Unlike Denominators 2
- Multiply & Divide Rational Expressions
- Lowest Common Denominator
- Add & Subtract Rational Expressions
- Add & Subtract Rational Expressions with Unlike Denominators 1
- Add & Subtract Rational Expressions with Unlike Denominators 2
- Multiply & Divide Rational Expressions
- Area of Shapes 1
- Area of Shapes 2
- Area of Shapes 3
- Area of Shapes 4
- Areas of Circles 1
- Areas of Circles 2
- Areas of a Shaded Region
- Area of Composite Shapes
- Area of Sectors
- Area of Shapes Mixed Review 1
- Area of Shapes Mixed Review 2
- Area of Shapes Mixed Review 3
- Area of Shapes 1
- Area of Shapes 2
- Area of Shapes 3
- Area of Shapes 4
- Areas of Circles 1
- Areas of Circles 2
- Areas of a Shaded Region
- Area of Composite Shapes
- Area of Sectors
- Area of Shapes Mixed Review 1
- Area of Shapes Mixed Review 2
- Area of Shapes Mixed Review 3
- Volume of Shapes 1
- Volume of Shapes 2
- Volume of Shapes 3
- Volume of Shapes 4
- Volume of Composite Shapes 1
- Volume of Composite Shapes 2
- Surface Area of Shapes 1
- Surface Area of Shapes 2
- Surface Area of Shapes 3
- Surface Area and Volume Mixed Review 1
- Surface Area and Volume Mixed Review 2
- Surface Area and Volume Mixed Review 3
- Surface Area and Volume Mixed Review 4
- Greatest Common Factor 1
- Greatest Common Factor 2
- Factor Expressions using GCF
- Factor Expressions 1
- Factor Expressions 2
- Factor Expressions with Negative Numbers
- Factor Difference of Two Squares 1
- Factor Difference of Two Squares 2
- Factor Difference of Two Squares 3
- Factor by Grouping
- Factor Difference of Two Squares (Harder) 1
- Factor Difference of Two Squares (Harder) 2
- Factor Difference of Two Squares (Harder) 3
- Factor Quadratics 1
- Factor Quadratics 2
- Factor Quadratics 3
- Factor Quadratics with Leading Coefficient more than 1 (1)
- Factor Quadratics with Leading Coefficient more than 1 (2)
- Factor Quadratics with Leading Coefficient more than 1 (3)
- Factor Quadratics (Complex)
- Simple Probability 1
- Simple Probability 2
- Simple Probability 3
- Simple Probability 4
- Complementary Probability 1
- Compound Events 1
- Compound Events 2
- Venn Diagrams (Non Mutually Exclusive)
- Independent Events 1
- Independent Events 2
- Dependent Events (Conditional Probability)
- Probability Tree (Independent) 1
- Probability Tree (Independent) 2
- Probability Tree (Dependent)
- Simple Probability 1
- Simple Probability 2
- Simple Probability 3
- Simple Probability 4
- Complementary Probability 1
- Compound Events 1
- Compound Events 2
- Venn Diagrams (Non Mutually Exclusive)
- Independent Events 1
- Independent Events 2
- Dependent Events (Conditional Probability)
- Find the Hypotenuse 1
- Find the Hypotenuse 2
- Find the Hypotenuse 3
- Find a Side 1
- Find a Side 2
- Find a Side 3
- Pythagoras’ Theorem Problems 1
- Pythagoras’ Theorem Problems 2
- Pythagoras’ Theorem Problems 3
- Pythagoras Theorem Mixed Review 1
- Pythagoras Theorem Mixed Review 2
- Pythagoras Theorem Mixed Review 3
- Pythagoras Theorem Mixed Review 4
- Distance Between Two Points 1
- Distance Between Two Points 2
- Distance Between Two Points 3
- Midpoint Formula 1
- Midpoint Formula 2
- Midpoint Formula 3
- Parallel Lines 1
- Parallel Lines 2
- Perpendicular Lines 1
- Perpendicular Lines 2
- Solve Quadratics by Factoring 1
- Solve Quadratics by Factoring 2
- The Quadratic Formula
- Completing the Square 1
- Completing the Square 2
- Intro to Quadratic Functions (Parabolas) 1
- Intro to Quadratic Functions (Parabolas) 2
- Intro to Quadratic Functions (Parabolas) 3
- Graph Quadratic Functions in Standard Form 1
- Graph Quadratic Functions in Standard Form 2
- Graph Quadratic Functions by Completing the Square
- Graph Quadratic Functions in Vertex Form
- Write a Quadratic Equation from the Graph
- Write a Quadratic Equation Given the Vertex and Another Point
- Quadratic Inequalities 1
- Quadratic Inequalities 2
- Congruent Triangles 1
- Congruent Triangles 2
- Pythagoras’ Theorem Problems 1
- Pythagoras’ Theorem Problems 2
- Pythagoras’ Theorem Problems 3
- Solve Quadratics by Factoring
- The Quadratic Formula
- Completing the Square 1
- Completing the Square 2
- Intro to Quadratic Functions (Parabolas) 1
- Intro to Quadratic Functions (Parabolas) 2
- Intro to Quadratic Functions (Parabolas) 3
- Graph Quadratic Functions in Standard Form 1
- Graph Quadratic Functions in Standard Form 2
- Graph Quadratic Functions by Completing the Square
- Graph Quadratic Functions in Vertex Form
- Write a Quadratic Equation from the Graph
- Write a Quadratic Equation Given the Vertex and Another Point
- Quadratic Inequalities 1
- Quadratic Inequalities 2
- Quadratics Word Problems 1
- Quadratics Word Problems 2
- Quadratic Identities
- Graphing Quadratics Using the Discriminant
- Positive and Negative Definite
- Applications of the Discriminant 1
- Applications of the Discriminant 2
- Combining Methods for Solving Quadratic Equations
- Solve Quadratics by Factoring
- The Quadratic Formula
- Completing the Square 1
- Completing the Square 2
- Intro to Quadratic Functions (Parabolas) 1
- Intro to Quadratic Functions (Parabolas) 2
- Intro to Quadratic Functions (Parabolas) 3
- Graph Quadratic Functions in Standard Form 1
- Graph Quadratic Functions in Standard Form 2
- Graph Quadratic Functions by Completing the Square
- Graph Quadratic Functions in Vertex Form
- Write a Quadratic Equation from the Graph
- Write a Quadratic Equation Given the Vertex and Another Point
- Quadratic Inequalities 1
- Quadratic Inequalities 2
- Quadratics Word Problems 1
- Quadratics Word Problems 2
- Quadratic Identities
- Graphing Quadratics Using the Discriminant
- Positive and Negative Definite
- Applications of the Discriminant 1
- Applications of the Discriminant 2
- Combining Methods for Solving Quadratic Equations
- Power Rule 1
- Power Rule 2
- Power Rule 3
- Power Rule 4
- Chain Rule 1
- Chain Rule 2
- Product Rule
- Quotient Rule
- Derivatives of Exponential Functions 1
- Derivatives of Exponential Functions 2
- Derivatives of Exponential Functions 3
- Derivatives of Trigonometric Functions 1
- Derivatives of Trigonometric Functions 2
- Derivatives of Trigonometric Functions 3
- Power Rule 1
- Power Rule 2
- Power Rule 3
- Power Rule 4
- Chain Rule 1
- Chain Rule 2
- Product Rule
- Quotient Rule
- Derivatives of Exponential Functions 1
- Derivatives of Exponential Functions 2
- Derivatives of Exponential Functions 3
- Derivatives of Trigonometric Functions 1
- Derivatives of Trigonometric Functions 2
- Derivatives of Trigonometric Functions 3
- Tangents and Normals
- Log and Exponential Tangents and Normals
- Increasing and Decreasing Intervals
- Critical Points (Maximum and Minimum Values)
- Stationary and Inflection Points
- Curve Sketching 1
- Curve Sketching 2
- Optimization
- Tangents and Normals
- Log and Exponential Tangents and Normals
- Increasing and Decreasing Intervals
- Critical Points (Maximum and Minimum Values)
- Stationary and Inflection Points
- Curve Sketching 1
- Curve Sketching 2
- Optimization
- Antiderivatives (Indefinite Integrals) 1
- Antiderivatives (Indefinite Integrals) 2
- Antiderivatives (Indefinite Integrals) 3
- Antiderivatives of Exponential Functions
- Antiderivatives of Logarithmic Functions 1
- Antiderivatives of Logarithmic Functions 2
- Antiderivatives of Trig Functions 1
- Antiderivatives of Trig Functions 2
- Definite Integrals
- Definite Integrals of Exponential Functions
- Definite Integrals of Logarithmic Functions
- Antiderivatives (Indefinite Integrals) 1
- Antiderivatives (Indefinite Integrals) 2
- Antiderivatives (Indefinite Integrals) 3
- Antiderivatives of Exponential Functions
- Antiderivatives of Logarithmic Functions 1
- Antiderivatives of Logarithmic Functions 2
- Antiderivatives of Trig Functions 1
- Antiderivatives of Trig Functions 2
- Definite Integrals
- Definite Integrals of Exponential Functions
- Definite Integrals of Logarithmic Functions
- Areas Between Curves and the Axis 1
- Areas Between Curves and the Axis 2
- Area Between Two Curves
- Volumes of Solids 1
- Volumes of Solids 2
- Volumes of Solids 3
- Areas Between Curves and the Axis 1
- Areas Between Curves and the Axis 2
- Area Between Two Curves
- Volumes of Solids 1
- Volumes of Solids 2
- Volumes of Solids 3
- Intro to Sequences
- Arithmetic Series (Sum)
- Geometric Series (Sum)
- Infinite Geometric Series