OAR Math Skills: Algebraic Expressions Questions and Answers

Question 1

Simplify the following algebraic expression: 5(2x - 3y) - (4x - 7y)

Accepted Answer

6x - 8y

Answer

6x - 22y

Answer

6x + 8y

Answer

10x - 8y

Question 2

Evaluate the expression 3a² - 4ab + b² when a = -2 and b = 5.

Accepted Answer

77

Answer

-3

Answer

27

Answer

47

Question 3

A small company's monthly profit is given by the expression P = 150x - (85x + 2500), where x is the number of units sold. Which of the following is a simplified expression for the monthly profit?

Accepted Answer

P = 65x - 2500

Answer

P = 235x + 2500

Answer

P = 65x + 2500

Answer

P = 235x - 2500

Question 4

Which algebraic expression correctly represents the phrase 'five less than the product of a number and three'?

Accepted Answer

3x - 5

Answer

5 - 3x

Answer

3(x - 5)

Answer

5x - 3

Question 5

Simplify the polynomial expression: (4a² + 3ab - 6b²) - (a² - 2ab + 3b²)

Accepted Answer

3a² + 5ab - 9b²

Answer

3a² + ab - 3b²

Answer

5a² + ab - 3b²

Answer

3a² + ab - 9b²

Question 6

The formula for the area of a trapezoid is A = ½h(b₁ + b₂). What is the area of a trapezoid where the height (h) is 8 cm, base one (b₁) is 10 cm, and base two (b₂) is 15 cm?

Accepted Answer

100 cm²

Answer

120 cm²

Answer

200 cm²

Answer

50 cm²