OAR OAR Math Skills: Algebraic Expressions 4 — Questions and Answers
Question 1: Simplify: (x³)² ÷ x²
- x⁴ (Correct answer)
- x³
- x⁵
- x⁶
Correct answer: x⁴
(x³)² = x⁶, then x⁶ ÷ x² = x⁴.
Question 2: What is the value of |3x - 7| when x = 1?
- 4 (Correct answer)
- 10
- -4
- 2
Correct answer: 4
|3(1) - 7| = |3 - 7| = |-4| = 4.
Question 3: Which of the following is a binomial?
- 3x + 5 (Correct answer)
- x
- x² + 2x + 1
- 4
Correct answer: 3x + 5
A binomial has exactly two terms; 3x + 5 has two terms.
Question 4: Simplify: (4x - 3) - (2x + 5)
- 2x - 8 (Correct answer)
- 2x + 2
- 6x - 8
- 6x + 2
Correct answer: 2x - 8
Distribute the negative: 4x - 3 - 2x - 5 = 2x - 8.
Question 5: If f(x) = 2x² + 1, what is f(3)?
- 19 (Correct answer)
- 7
- 13
- 37
Correct answer: 19
f(3) = 2(9) + 1 = 18 + 1 = 19.
Question 6: Expand: (x + 5)²
- x² + 10x + 25 (Correct answer)
- x² + 25
- x² + 5x + 25
- x² + 10x + 5
Correct answer: x² + 10x + 25
(x+5)² = x² + 2(5)x + 25 = x² + 10x + 25.
Question 7: Solve for y in terms of x: 4x + 2y = 12
- y = 6 - 2x (Correct answer)
- y = 12 - 4x
- y = 3 - x
- y = 6 + 2x
Correct answer: y = 6 - 2x
Subtract 4x: 2y = 12 - 4x, then divide by 2: y = 6 - 2x.
