Two Step Equations 3
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Question 1 of 5
1. Question
Solve`-2y-13=-11`- `y=` (-1)
Hint
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Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.To solve for `y`, it needs to be alone on one side.Start by moving `13` to the other side by adding `13` to both sides of the equation.`-2``y` `-13` `=` `-11` `-2``y` `-13` `+13` `=` `-11` `+13` `-2``y` `=` `2` `-13+13` cancels out Next, remove `-2` by dividing both sides of the equation by `-2`.`-2``y` `=` `2` `-2``y``-:-2` `=` `2``-:-2` `y` `=` `-1` `-2-:-2` cancels out Check our workTo confirm our answer, substitute `y=-1` to the original equation.`-2y-13` `=` `-11` `-2(-1)-13` `=` `-11` Substitute `y=-1` `2-13` `=` `-11` `-11` `=` `-11` Since the equation is true, the answer is correct.`y=-1` -
Question 2 of 5
2. Question
Solve for `r``-4r-1=31`- `r=` (-8)
Correct
Well Done!
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To solve for `r`, get `r` by itselfAdd `1` to both sides of the equation`-4r-1``+1` `=` `31``+1` `-4r``-1``+1` `=` `32` `-1+1` cancels out `-4r` `=` `32` Finally, divide both sides of the equation by `-4``-4r``divide -4` `=` `32``divide -4` `-4``r``divide -4` `=` `-8` `-4 divide -4` cancels out `r` `=` `-8` `r=-8` -
Question 3 of 5
3. Question
Solve`x/3 +4=7`- `x=` (9)
Hint
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Good Job!
Incorrect
Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.To solve for `x`, it needs to be alone on one side.Start by moving `4` to the other side by subtracting `4` from both sides of the equation.$$\frac{\color{#00880A}{x}}{3}+4$$ `=` `7` $$\frac{\color{#00880A}{x}}{3}+4\color{#CC0000}{-4}$$ `=` `7` `-4` $$\frac{\color{#00880A}{x}}{3}$$ `=` `3` `4-4` cancels out Next, remove `1/3` by multiplying both sides of the equation by `3`.$$\frac{\color{#00880A}{x}}{3}$$ `=` `3` $$\frac{\color{#00880A}{x}}{3}\color{#CC0000}{\times3}$$ `=` `3``xx3` `x` `=` `9` `1/3 times3` cancels out Check our workTo confirm our answer, substitute `x=9` to the original equation.`x/3 +4` `=` `7` `9/3 +4` `=` `7` Substitute `x=9` `3+4` `=` `7` `7` `=` `7` Since the equation is true, the answer is correct.`x=9` -
Question 4 of 5
4. Question
Solve`x/7 +3=-2`- `x=` (-35)
Hint
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Great Work!
Incorrect
Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.To solve for `x`, it needs to be alone on one side.Start by moving `3` to the other side by subtracting `3` from both sides of the equation.$$\frac{\color{#00880A}{x}}{7}+3$$ `=` `-2` $$\frac{\color{#00880A}{x}}{7}+3\color{#CC0000}{-3}$$ `=` `-2` `-3` $$\frac{\color{#00880A}{x}}{7}$$ `=` `-5` `3-3` cancels out Next, remove `1/7` by multiplying both sides of the equation by `7`.$$\frac{\color{#00880A}{x}}{7}$$ `=` `-5` $$\frac{\color{#00880A}{x}}{7}\color{#CC0000}{\times7}$$ `=` `-5``xx7` `x` `=` `-35` `1/7 times7` cancels out Check our workTo confirm our answer, substitute `x=-35` to the original equation.`x/7 +3` `=` `-2` `(-35)/7 +3` `=` `-2` Substitute `x=-35` `-5+3` `=` `-2` `-2` `=` `-2` Since the equation is true, the answer is correct.`x=-35` -
Question 5 of 5
5. Question
Solve`t/5 -3=-6`- `t=` (-15)
Hint
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Excellent!
Incorrect
Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.To solve for `t`, it needs to be alone on one side.Start by moving `3` to the other side by adding `3` to both sides of the equation.$$\frac{\color{#00880A}{t}}{5}-3$$ `=` `-6` $$\frac{\color{#00880A}{t}}{5}-3\color{#CC0000}{+3}$$ `=` `-6` `+3` $$\frac{\color{#00880A}{t}}{5}$$ `=` `-3` `-3+3` cancels out Next, remove `1/5` by multiplying both sides of the equation by `5`.$$\frac{\color{#00880A}{t}}{5}$$ `=` `-3` $$\frac{\color{#00880A}{t}}{5}\color{#CC0000}{\times5}$$ `=` `-3``xx5` `t` `=` `-15` `1/5 times5` cancels out Check our workTo confirm our answer, substitute `t=-15` to the original equation.`t/5 -3` `=` `-6` `(-15)/5 -3` `=` `-6` Substitute `t=-15` `-3-3` `=` `-6` `-6` `=` `-6` Since the equation is true, the answer is correct.`t=-15`
Quizzes
- 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