Equivalent Expressions

Which of the following expressions is equivalent to a + a + b + b + b?

• 2a + 3b

• a + 3b

• 5 + a + b

• 5ab

Which of the following expressions is equivalent to 6 c ?

• 6 + c

• c + c + c + c + c + c

• 6 + 6 + 6 + 6 + 6 + 6

• 6 / c

Which expression is equivalent to 20c − 8d?

• 2(10c + 4d)

• 4(5c − 8d)

• 4(5c − 2d)

• c(20 − 8d)

Use the distributive property to simplify 2(x + 4)

• 2x + 4

• 2x + 8

• 10x

• x² + 8

Which expressions is equivalent to 25x - 10y?

• 5(5x - 2y)

• 5(5x - 10y)

• 5(20x - 5y)

• 5(20x - 10y)

Which expressions is equal to 48 + 72?

• 24(2 + 3)

• 8(6 + 12)

• 3(14 + 24)

• 2(24 + 38)

Which choice is equivalent to the expression 4(x + 2y)?

• 4x + 8y

• 4x + 2y

• x + 8y

• 8xy

Select all expressions that are equivalent to 12 - 4x.

• 4(3 - x)

• -4(-3 + x)

• -4(x - 3)

• 2(6 - 2x)

Find the value for k that will make the following two expressions equivalent.

-10.5x + k and -2.1(5x - 3.7) + 4.1

Which expressions is equivalent to -4(x + 2) - ½(2x - 6)?

• -5x - 4

• -5x - 5

• -8x - 4

• -8x - 5