Equivalent Expression and Distributive Property

Find the equivalent expression for5(a + 6)

• 5a+6

• 5a+30

• a+30

• 5a-30

Find an equivalent expression for the given expression: 36x + 24

• 4(9x + 7)

• 4(9x + 8)

• 2(18x + 12)

• 12(3x + 3)

The side lengths of a triangle are given by the expressions 13x + 39, 15x –25, and 14x + 14. Write the simplified expression to represent the perimeter of the triangle.

• 42x+28

• 42x+91

• 133x

Factor 3x + 15.

• Cannot be factored

• 3(x+5)

• 3x(1+5)

The perimeter of a square shaped garden is (36x + 24) feet. Write an expression that represents the length of one side of the garden.

• 18x+12

• 9x+6

• 144x+96

Subtract the following linear expressions, be sure to write the expression in simplest form.

(-2x – 5) – (2x + 7)

• 2

• 4x+12

• -4x-12

Use the distributive property to rewrite the following expression:

-4(2h - g)

• -4(2gh)

• 2h - 4g

• 8h - g

• -8h + 4g

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

• 23

• 23v

• 9 + 14v

• 9v + 10

Use the distributive property to rewrite the following expression: 5(2x + 6) + 4(10x - 2)

• 10x + 30 + 40x - 8

• 50x + 22

• 50x - 22

• 10x + 30 + 40x + 8

Factor out the greatest common factor (GCF).

5x + 35

• 5

• (x + 7)

• 5(x + 7)

• 5(x + 30)