Equivalent Algebraic Expressions Review

Which of the following pairs of expressions are equivalent to each other? Select all pairs of expressions that are equivalent to each other.

• 5w + 6w and 11w

• 7.2 + 2.5b - 1.8b and 4.3b

• (2f-2f) - y and 0

• -8r(5-5) and 0

• 4(w-2) and 4w-8

What is the sum of 3x - 6y + 2x + 2y? Your final answer should start with the x-term first

• 5x - 8y

• 5x - 4y

• x - 8y

• x + 4y

Two equivalent expressions are shown in the equation where a and b are both integers.

a(5x + 4) = b + 15x

What is the value of a?

Two equivalent equations are shown in the equation where a and b are both integers.

a(5x + 4) = b + 15x

What is the value of b?

• A

• B

• C

• D

• -27x - 63

• 27x - 16

• -27x + 63

• 27x + 63

Simplify 9 - 6x + 5

• 8x

• 4 - 6x

• -6x +14

• 6x + 4

Simplify the expression:

(4b - 5)8

• 32b + 40

• 32b - 40

• 32(b - 40)

• 84b - 85

During a ten-month period, the cost of the bag of rice (r) increased and decreased at different times. The highest cost for a bag of rice is r increased by 34% and the lowest cost for a bag of rice decreased by 34%. Select all expressions describes the bag of rice (r) decreasing by 34%

• -0.34r

• r - 0.34r

• 0.66r

• 1.34r

• r - 1.34r

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