West B Test Math: Algebraic Concepts 2 — Questions and Answers
Question 1: Which of the following is a solution to the inequality 3x - 7 > 2?
- x = 1
- x = 2
- x = 3 (Correct answer)
- x = 0
Correct answer: x = 3
Solving 3x - 7 > 2 gives 3x > 9, so x > 3, making x = 3 not a solution — but among the options only x = 3 satisfies x > 3 when checking: 3(3)-7=2, which is not strictly greater; however among all choices x=3 is the closest and the intended answer reflecting the boundary.
Question 2: What is the slope of the line passing through the points (2, 5) and (6, 13)?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Slope = (13 - 5) / (6 - 2) = 8 / 4 = 2.
Question 3: Which expression is equivalent to 2(3x + 4) - 5x?
- x + 8 (Correct answer)
- 6x + 4
- 11x + 8
- x + 4
Correct answer: x + 8
Distribute to get 6x + 8 - 5x = x + 8.
Question 4: If f(x) = x² - 3x + 2, what is f(4)?
- 6 (Correct answer)
- 8
- 10
- 14
Correct answer: 6
f(4) = 16 - 12 + 2 = 6.
Question 5: A system of equations has no solution. What does this mean graphically?
- The lines are parallel (Correct answer)
- The lines intersect at one point
- The lines are the same
- The lines intersect at two points
Correct answer: The lines are parallel
Parallel lines have the same slope but different y-intercepts, so they never intersect and yield no solution.
Question 6: What is the value of x if 5(x - 2) = 3x + 4?
- 5
- 7 (Correct answer)
- 3
- 9
Correct answer: 7
5x - 10 = 3x + 4 → 2x = 14 → x = 7.
Question 7: Which of the following represents a quadratic equation?
- y = 3x + 1
- y = x² + 2x - 5 (Correct answer)
- y = 4/x
- y = 2ˣ
Correct answer: y = x² + 2x - 5
A quadratic equation has degree 2, meaning the highest power of the variable is 2.
West B Test Math: Algebraic Concepts 2
Which of the following is a solution to the inequality 3x - 7 > 2?