Multi-Step Equations 1
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 4 questions completed
Questions:
- 1
- 2
- 3
- 4
Information
–
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
- 1
- 2
- 3
- 4
- Answered
- Review
-
Question 1 of 4
1. Question
Solve`4/5 x-9=-1`- `x=` (10)
Hint
Help VideoCorrect
Nice 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 `-9` to the other side by adding `9` to both sides of the equation.`4/5``x` `-9` `=` `-1` `4/5``x` `-9` `+9` `=` `-1` `+9` `4/5``x` `=` `8` `-9+9` cancels out Next, remove `1/5` by multiplying both sides of the equation by `5`.`4/5``x` `=` `8` `4/5``x``times5` `=` `8``times5` `4``x` `=` `40` `1/5 times5` cancels out Finally, remove `4` by dividing both sides of the equation by `4`.`4``x` `=` `40` `4``x``divide4` `=` `40``divide4` `x` `=` `10` `4divide4` cancels out Check our workTo confirm our answer, substitute `x=10` to the original equation.`4/5 x-9` `=` `-1` `4/5 (10)-9` `=` `-1` Substitute `x=10` `40/5-9` `=` `-1` `8-9` `=` `-1` `-1` `=` `-1` Since the equation is true, the answer is correct.`x=10` -
Question 2 of 4
2. Question
Solve`(2m)/3+8=10`- `m=` (3)
Hint
Help VideoCorrect
Excellent!
Incorrect
Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.To solve for `m`, it needs to be alone on one side.Start by moving `8` to the other side by subtracting `8` from both sides of the equation.$$\frac{2\color{#00880A}{m}}{3}+8$$ `=` `10` $$\frac{2\color{#00880A}{m}}{3}+8 \color{#CC0000}{-8}$$ `=` `10` `-8` $$\frac{2\color{#00880A}{m}}{3}$$ `=` `2` `8-8` cancels out Next, remove `1/3` by multiplying both sides of the equation by `3`.$$\frac{2\color{#00880A}{m}}{3}$$ `=` `2` $$\frac{2\color{#00880A}{m}}{3} \color{#CC0000}{\times3}$$ `=` `2``times3` `2``m` `=` `6` `1/3 times3` cancels out Finally, remove `2` by dividing both sides of the equation by `2`.`2``m` `=` `6` `2``m``divide2` `=` `6``divide2` `m` `=` `3` `2divide2` cancels out Check our workTo confirm our answer, substitute `m=3` to the original equation.`(2m)/3+8` `=` `10` `(2(3))/3+8` `=` `10` Substitute `m=3` `6/3+8` `=` `10` `2+8` `=` `10` `10` `=` `10` Since the equation is true, the answer is correct.`m=3` -
Question 3 of 4
3. Question
Solve for `x``(x-4)/2=3`- `x=` (10)
Hint
Help VideoCorrect
Great Work!
Incorrect
To solve for `x`, get `x` by itselfMultiply both sides of the equation by `2``frac{x-4}{2}``times2` `=` `3``times2` `frac{2(x-4)}{2}` `=` `3``times2` `x-4` `=` `6` The coefficient `2/2` cancels out Finally, add `4` to both sides of the equation`x-4` `+4` `=` `6` `+4` `x``-4` `+4` `=` `6` `+4` `-4+4` cancels out `x` `=` `10` `x=10` -
Question 4 of 4
4. Question
Solve for `x``(9+x)/3=5`- `x=` (6)
Correct
Exceptional!
Incorrect
To solve for `x`, get `x` by itselfMultiply both sides of the equation by `3``(9+x)/3``xx 3` `=` `5``xx 3` `(3(9+x))/3` `=` `5``xx 3` `9+x` `=` `15` The coefficient `3/3` cancels out Finally, subtract `9` from both sides of the equation`9+x` `-9` `=` `15` `-9` `9``+x` `-9` `=` `15` `-9` `9-9` cancels out `x` `=` `6` `x=6`
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