Algebraic Expression 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?

Translate the phrase into an algebraic expression: "Seven less than twice a number."

Translate the following sentence into an equation: "Eight times a number, decreased by 13, is equal to 35."

The Mayor of Tallahassee, FL, is expecting an increase in population by 7.4% next year. If p represents the current population, which expression can the Mayor use to find the expected population for next year.

• 1.74p

• 1.074p

• p + 0.074

• 1 + 0.074

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) increasing by 34%

• 0.66r

• 1.34r

• r - 1.34r

• r - 0.34r

• r + 0.34r

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