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One Step Equations - Multiply and Divide>
One Step Equations – Multiply and Divide 4One Step Equations – Multiply and Divide 4
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Question 1 of 5
1. Question
Solve`-3y=-4 1/5`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 `y`, it needs to be alone on one side.Remove `-3` by dividing both sides of the equation by `-3`.`-3``y` `=` `-4 1/5` `-3``y` `=` `-21/5` Turn the mixed number into an improper fraction `-3``y``-:(-3)` `=` `(-21)/5``-:(-3)` `y` `=` `(-21)/5``times 1/(-3)` `-3-:-3` cancels out `y` `=` `(-21)/(-15)` Simplify `y` `=` `7/5` `y` `=` `1 2/5` Turn the improper fraction back to a mixed number Check our workTo confirm our answer, substitute `y=1 2/5` to the original equation.`-3y` `=` `-4 1/5` `-3(1 2/5)` `=` `-4 1/5` Substitute `y=1 2/5` `-3(7/5)` `=` `-4 1/5` Turn the mixed number into an improper fraction `(-21)/5` `=` `-4 1/5` `-4 1/5` `=` `-4 1/5` Turn the improper fraction back to a mixed number Since the equation is true, the answer is correct.`y=1 2/5` -
Question 2 of 5
2. Question
Solve`-15=x/(-8)`- `x=` (120)
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 `x`, it needs to be alone on one side.Remove `1/(-8)` by multiplying both sides of the equation by `-8`.`-15` `=` $$\frac{\color{#00880A}{x}}{-8}$$ `-15``times(-8)` `=` $$\frac{\color{#00880A}{x}}{-8} \color{#CC0000}{\times(-8)}$$ `120` `=` `x` `1/(-8) times (-8)` cancels out `x` `=` `120` Check our workTo confirm our answer, substitute `x=120` to the original equation.`-15` `=` `x/(-8)` `-15` `=` `(120)/(-8)` Substitute `x=120` `-15` `=` `-15` Since the equation is true, the answer is correct.`x=120` -
Question 3 of 5
3. Question
Solve`(-m)/9=-4`- `m=` (36)
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)/9` by multiplying both sides of the equation by `-9`.$$\frac{-\color{#00880A}{m}}{9}$$ `=` `-4` $$\frac{-\color{#00880A}{m}}{9} \color{#CC0000}{\times(-9)}$$ `=` `-4``times(-9)` $$\frac{9\color{#00880A}{m}}{9}$$ `=` `36` `m` `=` `36` `9/9` cancels out Check our workTo confirm our answer, substitute `m=36` to the original equation.`(-m)/9` `=` `-4` `(-36)/9` `=` `-4` Substitute `m=36` `-4` `=` `-4` Since the equation is true, the answer is correct.`m=36` -
Question 4 of 5
4. Question
Solve`(-70)/u=5`- `u=` (-14)
Hint
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Incorrect
Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.First, make sure that the variable is not a denominator by multiplying both sides of the equation by `u`.$$\frac{-70}{\color{#00880A}{u}}$$ `=` `5` $$\frac{-70}{\color{#00880A}{u}} \times u$$ `=` `5` `times u` `-70` `=` `5``u` `1/u times u` cancels out To solve for `u`, it needs to be alone on one side.Remove `5` by dividing both sides of the equation by `5`.`-70` `=` `5``u` `-70``-:5` `=` `5``u``-:5` `-14` `=` `u` `5-:5` cancels out `u` `=` `-14` Check our workTo confirm our answer, substitute `u=-14` to the original equation.`(-70)/u` `=` `5` `(-70)/(-14)` `=` `5` Substitute `u=-14` `5` `=` `5` Since the equation is true, the answer is correct.`u=-14` -
Question 5 of 5
5. Question
Solve`(12)/a=-6`- `a=` (-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.First, make sure that the variable is not a denominator by multiplying both sides of the equation by `a`.$$\frac{12}{\color{#00880A}{a}}$$ `=` `-6` $$\frac{12}{\color{#00880A}{a}} \times a$$ `=` `-6` `times a` `12` `=` `-6``a` `1/a times a` cancels out To solve for `a`, it needs to be alone on one side.Remove `5` by dividing both sides of the equation by `5`.`12` `=` `-6``a` `12``-:(-6)` `=` `-6``a``-:(-6)` `-2` `=` `a` `(-6)-:(-6)` cancels out `a` `=` `-2` Check our workTo confirm our answer, substitute `a=-2` to the original equation.`(12)/a` `=` `-6` `(12)/(-2)` `=` `-6` Substitute `a=-2` `-6` `=` `-6` Since the equation is true, the answer is correct.`a=-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