West B Test Math: Algebraic Concepts 4 — Questions and Answers
Question 1: Which of the following is the factored form of x² - 9?
- (x - 3)²
- (x + 3)(x - 3) (Correct answer)
- (x + 9)(x - 1)
- (x - 3)(x - 3)
Correct answer: (x + 3)(x - 3)
x² - 9 is a difference of squares: (x + 3)(x - 3).
Question 2: What is the value of the expression 4x² - 2x + 1 when x = -1?
- 3
- 5
- 7 (Correct answer)
- 9
Correct answer: 7
4(-1)² - 2(-1) + 1 = 4 + 2 + 1 = 7.
Question 3: Which graph represents a function?
- A circle
- A vertical line
- A parabola opening upward (Correct answer)
- Two intersecting vertical lines
Correct answer: A parabola opening upward
A parabola opening upward passes the vertical line test, confirming it is a function.
Question 4: Solve for x: x/4 + 3 = 7
- 10
- 12
- 16 (Correct answer)
- 28
Correct answer: 16
x/4 = 4 → x = 16.
Question 5: What is the axis of symmetry of the parabola y = x² - 6x + 8?
- x = 3 (Correct answer)
- x = -3
- x = 6
- x = -6
Correct answer: x = 3
The axis of symmetry is x = -b/(2a) = 6/2 = 3.
Question 6: If 3 times a number decreased by 5 equals 16, what is the number?
- 3
- 5
- 7 (Correct answer)
- 11
Correct answer: 7
3n - 5 = 16 → 3n = 21 → n = 7.
Question 7: Which of the following is NOT a linear equation?
- 2x + 3 = 7
- y = -x + 4
- x² = 9 (Correct answer)
- 3x - y = 1
Correct answer: x² = 9
x² = 9 contains a squared variable, making it quadratic, not linear.
West B Test Math: Algebraic Concepts 4
Which of the following is the factored form of x² - 9?