OAR OAR Math Skills: Algebraic Expressions Questions and Answers 2

Question 1

Simplify the expression: 3(2x - 4) + 5x

Accepted Answer

11x - 12

Answer

Distribute 3 to get 6x - 12, then add 5x to get 11x - 12.

Question 2

If x = -3, what is the value of 2x² - 5x + 1?

Accepted Answer

34

Answer

Substituting x = -3 gives 2(9) - 5(-3) + 1 = 18 + 15 + 1 = 34.

Question 3

Which expression is equivalent to (4a³b²)(3a²b⁵)?

Accepted Answer

12a⁵b⁷

Answer

Multiply coefficients (4×3=12) and add exponents of like bases (a: 3+2=5, b: 2+5=7).

Question 4

Factor completely: x² - 9x + 20

Accepted Answer

(x - 4)(x - 5)

Answer

Find two numbers that multiply to 20 and add to -9, which are -4 and -5.

Question 5

Simplify: (5x²y - 3xy² + 2y) - (2x²y + xy² - 4y)

Accepted Answer

3x²y - 4xy² + 6y

Answer

Distribute the negative sign and combine like terms: 5x²y-2x²y=3x²y, -3xy²-xy²=-4xy², 2y+4y=6y.

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