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One Step Equations - Multiply and Divide>
One Step Equations – Multiply and Divide 3One Step Equations – Multiply and Divide 3
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Question 1 of 6
1. Question
Solve`m/3=8.5`- `m=` (25.5)
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 `m`, it needs to be alone on one side.Remove `1/3` by multiplying both sides of the equation by `3`.$$\frac{\color{#00880A}{m}}{3}$$ `=` `8.5` $$\frac{\color{#00880A}{m}}{3} \color{#CC0000}{\times3}$$ `=` `8.5``times3` `m` `=` `25.5` `1/3 times 3` cancels out Check our workTo confirm our answer, substitute `m=25.5` to the original equation.`m/3` `=` `8.5` `25.5/3` `=` `8.5` Substitute `m=25.5` `8.5` `=` `8.5` Since the equation is true, the answer is correct.`m=25.5` -
Question 2 of 6
2. Question
Solve`4n=3`Write fractions as “a/b”- `n=` (3/4)
Hint
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Incorrect
Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.To solve for `n`, it needs to be alone on one side.Remove `4` by dividing both sides of the equation by `4`.`4``n` `=` `3` `4``n``-:4` `=` `3``-:4` `n` `=` `3/4` `4-:4` cancels out Check our workTo confirm our answer, substitute `n=3/4` to the original equation.`4n` `=` `3` `4(3/4)` `=` `3` Substitute `n=3/4` `(12)/4` `=` `3` `3` `=` `3` Since the equation is true, the answer is correct.`n=3/4` -
Question 3 of 6
3. Question
Solve`y/(-5)=8`- `y=` (-40)
Hint
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Fantastic!
Incorrect
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.Remove `1/(-5)` by multiplying both sides of the equation by `-5`.$$\frac{\color{#00880A}{y}}{-5}$$ `=` `8` $$\frac{\color{#00880A}{y}}{-5} \color{#CC0000}{\times(-5)}$$ `=` `8``times(-5)` `y` `=` `-40` `1/(-5) times (-5)` cancels out Check our workTo confirm our answer, substitute `y=-40` to the original equation.`y/(-5)` `=` `8` `(-40)/(-5)` `=` `8` Substitute `y=-40` `8` `=` `8` Since the equation is true, the answer is correct.`y=-40` -
Question 4 of 6
4. Question
Solve`(-e)/7=-2`- `e=` (14)
Hint
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Exceptional!
Incorrect
Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.To solve for `e`, it needs to be alone on one side.Remove `(-1)/7` by multiplying both sides of the equation by `-7`.$$\frac{-\color{#00880A}{e}}{7}$$ `=` `-2` $$\frac{-\color{#00880A}{e}}{7} \color{#CC0000}{\times(-7)}$$ `=` `-2``times(-7)` $$\frac{7\color{#00880A}{e}}{7}$$ `=` `14` `e` `=` `14` `7/7` cancels out Check our workTo confirm our answer, substitute `e=14` to the original equation.`(-e)/7` `=` `-2` `(-14)/7` `=` `-2` Substitute `e=14` `-2` `=` `-2` Since the equation is true, the answer is correct.`e=14` -
Question 5 of 6
5. Question
Solve`m/10=-7.3`- `m=` (-73)
Hint
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Correct!
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.Remove `1/10` by multiplying both sides of the equation by `10`.$$\frac{\color{#00880A}{m}}{10}$$ `=` `-7.3` $$\frac{\color{#00880A}{m}}{10} \color{#CC0000}{\times10}$$ `=` `-7.3``times10` `m` `=` `-73` `1/(10) times 10` cancels out Check our workTo confirm our answer, substitute `m=-73` to the original equation.`m/10` `=` `-7.3` `(-73)/(10)` `=` `-7.3` Substitute `m=-73` `-7.3` `=` `-7.3` Since the equation is true, the answer is correct.`m=-73` -
Question 6 of 6
6. Question
Solve`y/3=-1 1/2`Hint
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Well Done!
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.Remove `1/3` by multiplying both sides of the equation by `3`.$$\frac{\color{#00880A}{t}}{3}$$ `=` `-1 1/2` $$\frac{\color{#00880A}{t}}{3}$$ `=` `-3/2` Turn the mixed number into an improper fraction $$\frac{\color{#00880A}{t}}{3} \color{#CC0000}{\times3}$$ `=` `-1 1/2``times3` Multiply `3` to both sides `t` `=` `-9/2` `1/(3) times 3` cancels out `t` `=` `-4 1/2` Turn the improper fraction back to a mixed number Check our workTo confirm our answer, substitute `t=-4 1/2` to the original equation.`t/3` `=` `-1 1/2` `(-4 1/2)/3` `=` `-1 1/2` Substitute `t=-4 1/2` `(-9/2)/3` `=` `-1 1/2` `-9/2times1/3` `=` `-1 1/2` `-9/6` `=` `-1 1/2` `-1 1/2` `=` `-1 1/2` Since the equation is true, the answer is correct.`t=-4 1/2`
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 with Variables on Both Sides using the Distributive Property 1
- Solve Equations with Variables on Both Sides using the Distributive Property 2
- Solve Equations with Variables on Both Sides using the Distributive Property 3
- Solve Equations with Variables on Both Sides using the Distributive Property 4
- Equation Word Problems 1
- Equation Word Problems 2
- Equation Word Problems 3
- Equation Word Problems 4
- Equation Word Problems (Age)
- Equation Word Problems (Money)
- Equation Word Problems (Harder)
- Equation Problems with Substitution
- Equation Problems (Geometry) 1
- Equation Problems (Geometry) 2
- Equation Problems (Perimeter)
- Equation Problems (Area)
- Change the Subject of an Equation 1
- Change the Subject of an Equation 2
- Change the Subject of an Equation 3