West B Test Math: Algebraic Concepts 5 — Questions and Answers
Question 1: What is the rate of change of the linear function represented by the table: x: 1, 3, 5 and y: 4, 10, 16?
- 2
- 3 (Correct answer)
- 4
- 6
Correct answer: 3
Rate of change = (10 - 4) / (3 - 1) = 6 / 2 = 3.
Question 2: Which value of x makes the equation 2(x + 5) = 3(x - 1) true?
- 10
- 13 (Correct answer)
- 11
- 7
Correct answer: 13
2x + 10 = 3x - 3 → 13 = x.
Question 3: What does the zero of a function represent on its graph?
- The y-intercept
- The vertex
- The x-intercept (Correct answer)
- The slope
Correct answer: The x-intercept
The zeros of a function are the x-values where f(x) = 0, which correspond to x-intercepts on the graph.
Question 4: Simplify the expression: 3x²y · 2xy³
- 5x³y⁴
- 6x³y⁴ (Correct answer)
- 6x²y³
- 5x²y⁴
Correct answer: 6x³y⁴
Multiply coefficients (3 · 2 = 6) and add exponents: x^(2+1) = x³ and y^(1+3) = y⁴, giving 6x³y⁴.
Question 5: A train travels at a constant speed. After 2 hours it has gone 120 miles. Which equation represents the distance d after t hours?
- d = 60t (Correct answer)
- d = 120t
- d = t + 60
- d = 2t + 120
Correct answer: d = 60t
Speed = 120 / 2 = 60 mph, so d = 60t.
Question 6: What are the solutions to x² - 5x + 6 = 0?
- x = 1 and x = 6
- x = 2 and x = 3 (Correct answer)
- x = -2 and x = -3
- x = -1 and x = 6
Correct answer: x = 2 and x = 3
Factor as (x - 2)(x - 3) = 0, giving x = 2 and x = 3.
Question 7: Which inequality is graphed as a dashed line with shading above the line?
- y ≤ 2x + 1
- y < 2x + 1
- y > 2x + 1 (Correct answer)
- y ≥ 2x + 1
Correct answer: y > 2x + 1
A strict greater-than inequality (>) uses a dashed boundary line and shades the region above the line.
West B Test Math: Algebraic Concepts 5
What is the rate of change of the linear function represented by the table: x: 1, 3, 5 and y: 4, 10, 16?