Equivalent Expressions

The expression 5(2x + 4) is NOT equivalent to the expression 20 + 10x.

True or False

Which of the following is equivalent to 2(-18x - 12)?

• -24 - 36x

• 24 + 36x

• -2(18x - 12)

• 2(-3x -15x + 12)

Which of the following is equivalent to 9 - 6 + 7x - 2x + 3?

• 10x - 5

• 288x +176

• 5x + 6

• 20x + 70

Which of the following is NOT equivalent to 3x + 6x?

• 3x(1 + 2)

• 6x + 3x

• 9(x+1)

• 9x

Choose an equivalent expression using the commutative property to 4x + 8 + 5y.

• 12x + 5y

• 8 + 5y + 4x

• (4x + 8) + 5y

• 4x - 8 - 5y

Which of the following is equivalent to 2x + 8x + 4y + 12?

Select ALL that apply.

• 10x + 4y + 12

• 14xy +12

• 12 + 12x + 4y

• 2(x + 4x) + 12 + 4y

Which of the following is equivalent to 5(4x + 3)?

• 23x

• 15x + 20

• 9x + 8

• 20x + 15

If you test these two expressions for equivalency using a "2" for x and a "3" for y, which of the following answers below is correct?

24x - 18y + 6

3(2 - 6y +8x)

• They are equivalent expressions. The result would be greater than "0".

• They are not equivalent expressions. The results would be different.

• They are not equivalent expressions. The results would be negative.

• They are equivalent expressions. The result would be "0".

Which of the following is equivalent to 4(5x+3) - 4x?

• 16x + 12

• 20x + 32

• 24x + 12

• 27x - 9

Use the distributive property to write an equivalent expression to 2(6 - 8e).