Math Distributive Property with Algebraic Expressions

Use the Distributive Property to write each expression as an equivalent expression. Then simplify it.
\frac{1}{4}(x+12)

• 1/4(x) + 1/4(12);  1/4x+3

• 1/4(12x);  3x

• 1/4(x) - 1/4(12);  1/4x-3

Use the Distributive Property to write each expression as an equivalent expression. Then simplify it.

• 7(-10)+z(-10); -10z-70

• 7(-10)-z(-10); 10z+70

• 7(-10)+10(z); -17-10z

Use the Distributive Property to write each expression as an equivalent expression. Then simplify it.

–9(7 + 4)

• -9(7)+9(4); -27

• -9(7)-9(4); -99

• 9(7)-7(4); 35

Simplify each expression. Don’t forget to be careful with your signs!!! 19g–7(5 – g)

• 19g-35

• 26g-35

• 60g-19

Use the Distributive Property to simplify the expression.
6(7g + 4 − g)

• 60g

• 41g + 4

• 36g + 24

• 12g +4

2(3v - 8) 

• 6v-16

• 6v-8

• 6v-6

• 6v+8

Fill in the blank:
2(x + 7) = 2x + __

• 7

• 14

• 7x

• 14x

Simplify   2(3x + 5)

Answer explanation

To simplify, distribute 3 to both terms inside the parentheses: 3x - 12. Then, combine like terms with the 2x term to get 5x - 12.

Find the equivalent expression for5(a + 6)

• 5a+6

• 5a+30

• a+30

• 5a-30