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Solve Equations using the Distributive Property>
Solve Equations using the Distributive Property 1Solve Equations using the Distributive Property 1
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Question 1 of 4
1. Question
Solve`2(x+4)=12`- `x=` (2)
Hint
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Great Work!
Incorrect
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 `x`, it needs to be alone on one side.Start by expanding the left side of the equation by using the Distributive Property.`2``(``x` `+4)` `=` `12` `2``x``+``2``(4)` `=` `12` `2``x` `+8` `=` `12` Next, move `8` to the other side by subtracting `8` from both sides of the equation.`2``x` `+8` `=` `12` `2``x` `+8` `-8` `=` `12` `-8` `2``x` `=` `4` `8-8` cancels out Finally, remove `2` by dividing both sides of the equation by `2`.`2``x` `=` `4` `2``x``divide2` `=` `4``divide2` `x` `=` `2` `2divide2` cancels out Check our workTo confirm our answer, substitute `x=2` to the original equation.`2(x+4)` `=` `12` `2[(2)+4]` `=` `12` Substitute `x=2` `2(6)` `=` `12` `12` `=` `12` Since the equation is true, the answer is correct.`x=2` -
Question 2 of 4
2. Question
Solve`8(y-6)=16`- `y=` (8)
Hint
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Correct!
Incorrect
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.`8``(``y` `-6)` `=` `16` `8``y``-``8``(6)` `=` `16` `8``y` `-48` `=` `16` Next, move `48` to the other side by adding `48` to both sides of the equation.`8``y` `-48` `=` `16` `8``y` `-48` `+48` `=` `16` `+48` `8``y` `=` `64` `-48+48` cancels out Finally, remove `8` by dividing both sides of the equation by `8`.`8``y` `=` `64` `8``y``divide8` `=` `64``divide8` `y` `=` `8` `8divide8` cancels out Check our workTo confirm our answer, substitute `y=8` to the original equation.`8(y-6)` `=` `16` `8[(8)-6]` `=` `16` Substitute `y=8` `8(2)` `=` `16` `16` `=` `16` Since the equation is true, the answer is correct.`y=8` -
Question 3 of 4
3. Question
Solve`21=3(t-3)`- `t=` (10)
Hint
Help VideoCorrect
Excellent!
Incorrect
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 `t`, it needs to be alone on one side.Start by expanding the right side of the equation by using the Distributive Property.`21` `=` `3``(``t` `-3)` `21` `=` `3``t` `+``3``(-3)` `21` `=` `3``t` `-9` Next, move `-9` to the other side by adding `9` to both sides of the equation.`21` `=` `3``t` `-9` `21` `+9` `=` `3``t` `-9` `+9` `30` `=` `3``t` `-9+9` cancels out Finally, remove `3` by dividing both sides of the equation by `3`.`30` `=` `3``t` `30``divide3` `=` `3``t``divide3` `10` `=` `t` `3divide3` cancels out `t` `=` `10` Check our workTo confirm our answer, substitute `t=10` to the original equation.`21` `=` `3(t-3)` `21` `=` `3(10-3)` Substitute `t=10` `21` `=` `3(7)` `21` `=` `21` Since the equation is true, the answer is correct.`t=10` -
Question 4 of 4
4. Question
Solve`3(14-a)=3`- `a=` (13)
Hint
Help VideoCorrect
Well Done!
Incorrect
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 `a`, it needs to be alone on one side.Start by expanding the left side of the equation by using the Distributive Property.`3``(14-``a``)` `=` `3` `3``(14)-``3``a` `=` `3` `42-3``a` `=` `3` Next, move `42` to the other side by subtracting `42` from both sides of the equation.`42-3``a` `=` `3` `42-3``a` `-42` `=` `3` `-42` `-3``a` `=` `-39` `42-42` cancels out Finally, remove `-3` by dividing both sides of the equation by `-3`.`-3``a` `=` `-39` `-3``a``divide-3` `=` `-39``divide-3` `a` `=` `13` `-3divide-3` cancels out Check our workTo confirm our answer, substitute `a=13` to the original equation.`3(14-a)` `=` `3` `3[14-(13)]` `=` `3` Substitute `a=13` `3(1)` `=` `3` `3` `=` `3` Since the equation is true, the answer is correct.`a=13`
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- 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
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- 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
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- Writing Equations 3
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- Solve for a Variable or Formula 1
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