Back to Equations
Multi-Step Equations
Time limit: 0
Quiz-summary
0 of 7 questions completed
Questions:
- 1
- 2
- 3
- 4
- 5
- 6
- 7
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:
Results
Your time:
Time has elapsed
You have reached 0 of 0 points, (0)
Categories
- Not categorized 0%
- 1
- 2
- 3
- 4
- 5
- 6
- 7
- Answered
- Review
-
Question 1 of 7
1. Question
Solve`4/5 x-9=-1`- `x=` (10)
Correct
Nice Job!
Incorrect
Help Video
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`Hint
Help Video -
Question 2 of 7
2. Question
Solve`(2m)/3+8=10`- `m=` (3)
Correct
Excellent!
Incorrect
Help VideoInverse 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`Hint
Help Video -
Question 3 of 7
3. Question
Solve for `x``(x-4)/2=3`- `x=` (10)
Correct
Great Work!
Incorrect
Help VideoTo 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`Hint
Help Video -
Question 4 of 7
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` -
Question 5 of 7
5. Question
Solve`(4-4z)/2=8`- `z=` (-3)
Correct
Fantastic!
Incorrect
Help VideoInverse Operations
When moving a term to the other side of an equation, the operation is inversed.To solve for `z`, it needs to be alone on one side.Start with removing `1/2` by multiplying both sides of the equation by `2`.$$\frac{4-4\color{#00880A}{z}}{2}$$ `=` `8` $$\frac{4-4\color{#00880A}{z}}{2}\color{#CC0000}{\times2}$$ `=` `8``times2` `4-4``z` `=` `16` `1/2 times2` cancels out Next, move `4` to the other side by subtracting `4` from both sides of the equation.`4-4``z` `=` `16` `4-4``z` `-4` `=` `16` `-4` `-4``z` `=` `12` `4-4` cancels out Finally, remove `-4` by dividing both sides of the equation by `-4`.`-4``z` `=` `12` `-4``z``divide-4` `=` `12``divide-4` `z` `=` `-3` `-4divide-4` cancels out Check our workTo confirm our answer, substitute `z=-3` to the original equation.`(4-4z)/2` `=` `8` `(4-4(-3))/2` `=` `8` Substitute `z=-3` `(4+12)/2` `=` `8` `16/2` `=` `8` `8` `=` `8` Since the equation is true, the answer is correct.`z=-3`Hint
Help Video -
Question 6 of 7
6. Question
Solve`(3y+4)/(-2)=7`- `y=` (-6)
Correct
Well Done!
Incorrect
Help VideoInverse 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 with removing `1/(-2)` by multiplying both sides of the equation by `-2`.$$\frac{3\color{#00880A}{y}+4}{-2}$$ `=` `7` $$\frac{3\color{#00880A}{y}+4}{-2}\color{#CC0000}{\times(-2)}$$ `=` `7``times(-2)` `3``y` `+4` `=` `-14` `1/(-2) times(-2)` cancels out Next, move `4` to the other side by subtracting `4` from both sides of the equation.`3``y` `+4` `=` `-14` `3``y` `+4` `-4` `=` `-14` `-4` `3``y` `=` `-18` `4-4` cancels out Finally, remove `3` by dividing both sides of the equation by `3`.`3``y` `=` `-18` `3``y``divide3` `=` `-18``divide3` `y` `=` `-6` `3divide3` cancels out Check our workTo confirm our answer, substitute `y=-6` to the original equation.`(3y+4)/(-2)` `=` `7` `(3(-6)+4)/(-2)` `=` `7` Substitute `y=-6` `(-18+4)/(-2)` `=` `7` `(-14)/(-2)` `=` `7` `7` `=` `7` Since the equation is true, the answer is correct.`y=-6`Hint
Help Video -
Question 7 of 7
7. Question
Solve`(8x-2)/(-5)=-6`- `x=` (4)
Correct
Keep Going!
Incorrect
Help VideoInverse 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 with removing `1/(-5)` by multiplying both sides of the equation by `-5`.$$\frac{8\color{#00880A}{x}-2}{-5}$$ `=` `-6` $$\frac{8\color{#00880A}{x}-2}{-5}\color{#CC0000}{\times(-5)}$$ `=` `-6``times(-5)` `8``x` `-2` `=` `30` `1/(-5) times(-5)` cancels out Next, move `-2` to the other side by adding `2` to both sides of the equation.`8``x` `-2` `=` `30` `8``x` `-2` `+2` `=` `30` `+2` `8``x` `=` `32` `-2+2` cancels out Finally, remove `8` by dividing both sides of the equation by `8`.`8``x` `=` `32` `8``x``divide8` `=` `32``divide8` `x` `=` `4` `8divide8` cancels out Check our workTo confirm our answer, substitute `x=4` to the original equation.`(8x-2)/(-5)` `=` `-6` `(8(4)-2)/(-5)` `=` `-6` Substitute `x=4` `(32-2)/(-5)` `=` `-6` `(30)/(-5)` `=` `-6` `-6` `=` `-6` Since the equation is true, the answer is correct.`x=4`Hint
Help Video
Jump To
- One Step Equations – Add and Subtract
- One Step Equations – Multiply and Divide
- Two Step Equations
- Multi-Step Equations
- Solve Equations using the Distributive Property
- Equations with Variables on Both Sides
- Equations with Variables on Both Sides (Fractions)
- Solve Equations with Variables on Both Sides using the Distributive Property
- Equation Word Problems
- Equation Word Problems (Age)
- Equation Word Problems (Money)
- Equation Word Problems (Harder)
- Equation Problems with Substitution
- Equation Problems (Geometry)
- Equation Problems (Perimeter)
- Equation Problems (Area)
- Change the Subject of an Equation