OAR OAR Math Skills: Algebraic Expressions 2 — Questions and Answers
Question 1: Simplify: 3(2x - 4) + 5x
- 11x - 12 (Correct answer)
- 11x - 4
- 6x - 12
- 11x + 12
Correct answer: 11x - 12
Distribute 3 to get 6x - 12, then add 5x to get 11x - 12.
Question 2: If a = 3 and b = -2, what is the value of 2a² - 3b?
- 24 (Correct answer)
- 12
- 18
- 6
Correct answer: 24
2(9) - 3(-2) = 18 + 6 = 24.
Question 3: Which expression is equivalent to 4x² - 8x?
- 4x(x - 2) (Correct answer)
- 4(x² - 2)
- 4x(x + 2)
- 2x(2x - 4)
Correct answer: 4x(x - 2)
Factor out 4x: 4x(x - 2) = 4x² - 8x.
Question 4: What is the degree of the polynomial 5x³ - 2x + 7?
- 3 (Correct answer)
- 2
- 1
- 0
Correct answer: 3
The degree is determined by the highest exponent, which is 3.
Question 5: Evaluate: (x + y)² when x = 2 and y = -5
- 9 (Correct answer)
- 49
- -9
- −49
Correct answer: 9
(2 + (-5))² = (-3)² = 9.
Question 6: Simplify: (3x²)(4x³)
- 12x⁵ (Correct answer)
- 7x⁵
- 12x⁶
- 7x⁶
Correct answer: 12x⁵
Multiply coefficients (3×4=12) and add exponents (2+3=5) to get 12x⁵.
Question 7: Which value of x satisfies 5x - 3 = 2x + 9?
- 4 (Correct answer)
- 3
- 6
- 2
Correct answer: 4
Subtract 2x from both sides: 3x - 3 = 9, so 3x = 12 and x = 4.
