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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(3y)=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(3y)` `=` `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(32x)=10` `x=` (4)
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To solve for `x`, get `x` by itselfSubtract `5` from both sides of the equation`5(32x)` `5` `=` `10` `5` `5``(32x)``5` `=` `10` `5` `55` 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` `729k` `=` `252` Get the `k` variable on one side of the equation`729k` `72` `=` `252` `72` Subtract `72` from both sides `72``9k` `72` `=` `252` `72` `7272` 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)
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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` `12a132` `=` `108` Get the `k` variable on one side of the equation`12a132` `+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`
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