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Solve Equations using the Distributive Property>
Solve Equations using the Distributive Property 2Solve Equations using the Distributive Property 2
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Question 1 of 4
1. Question
Solve`-7(3-y)=-28`- `y=` (-1)
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Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.Distributive Property
`a``(b+c)=``a``b+``a``c`To solve for `y`, it needs to be alone on one side.Start by expanding the left side of the equation by using the Distributive Property.`-7``(3-``y``)` `=` `-28` `-7``(3)-(``-7``)(``y``)` `=` `-28` `-21+7``y` `=` `-28` Next, move `-21` to the other side by adding `21` to both sides of the equation.`-21+7``y` `=` `-28` `-21+7``y` `+21` `=` `-28` `+21` `7``y` `=` `-7` `-21+21` cancels out Finally, remove `7` by dividing both sides of the equation by `7`.`7``y` `=` `-7` `7``y``divide7` `=` `-7``divide7` `y` `=` `-1` `7divide7` cancels out Check our workTo confirm our answer, substitute `y=-1` to the original equation.`-7(3-y)` `=` `-28` `-7[3-(-1)]` `=` `-28` Substitute `y=-1` `-7(3+1)` `=` `-28` `-7(4)` `=` `-28` `-28` `=` `-28` Since the equation is true, the answer is correct.`y=-1` -
Question 2 of 4
2. Question
Solve for `x``5-(3-2x)=10`- `x=` (4)
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To solve for `x`, get `x` by itselfSubtract `5` from both sides of the equation`5-(3-2x)` `-5` `=` `10` `-5` `5``-(3-2x)``-5` `=` `10` `-5` `5-5` cancels out `-3+2x` `=` `5` Distribute negative sign Next, add `3` to both sides of the equation`-3+2x` `+3` `=` `5` `+3` `-3``+2x` `+3` `=` `5` `+3` `-3+3` cancels out `2x` `=` `8` Finally, divide both sides of the equation by `2``2x``divide2` `=` `8``divide2` `2``x``divide2` `=` `8``divide2` `times2divide2` cancels out `x` `=` `4` `x=4` -
Question 3 of 4
3. Question
Solve for `k``-9(-8+k)=252`- `k=` (-20)
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To solve for `k`, get `k` by itselfDistribute the value inside the parenthesis.`-9``(-8+k)` `=` `252` `((-8)xx``(-9)``)+(kxx``(-9)``)` `=` `252` `72-9k` `=` `252` Get the `k` variable on one side of the equation`72-9k` `-72` `=` `252` `-72` Subtract `72` from both sides `72``-9k` `-72` `=` `252` `-72` `72-72` cancels out `-9k` `=` `180` `-9k``-:(-9)` `=` `180``-:(-9)` Divide both sides by `-9` `-9``k``-:(-9)` `=` `180``-:(-9)` `times(-9)divide(-9)` cancels out `k` `=` `-20` `k=-20` -
Question 4 of 4
4. Question
Solve for `a``-12(a+11)=-108`- `a=` (-2)
Correct
Exceptional!
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To solve for `a`, get `a` by itselfDistribute the value inside the parenthesis.`-12``(a+11)` `=` `-108` `(axx``(-12)``)+(11xx``(-12)``)` `=` `-108` `-12a-132` `=` `-108` Get the `k` variable on one side of the equation`-12a-132` `+132` `=` `-108` `+132` Add `132` to both sides `-12a``-132` `+132` `=` `-108` `+132` `-132+132` cancels out `-12a` `=` `24` `-12a``divide(-12)` `=` `24``divide(-12)` Divide both sides by `-12` `-12``a``divide(-12)` `=` `24``divide(-12)` `times(-12)divide(-12)` cancels out `a` `=` `-2` `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 – 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