Equivalent Expressions and Distributive Property

Simplify the expression

11(9 + d)

• 99 + d

• 20 + 9d

• 20 + d

• 99+11d

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

• 7

• 14

• 7x

• 14x

-4(2a + 7) + 3a + 18

• -5a - 10

• 11a + 46

• 5a + 46

• 11a - 10

Which expressions are equal to the sum of 36 + 24? Choose ALL that apply.

• 6(5 + 4)

• 3(6 + 8)

• 12(3 + 2)

• (12 x 3) + (12 x 2)

• (12 + 3) + (12 + 2)

Simplify by combining like terms: 7v - 2 + 12 + 2v

• 23

• 23v

• 9 + 14v

• 9v + 10

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

Factor 3x + 15.

• Cannot be factored

• 3(x+5)

• 3x(1+5)