West B Test Math: Algebraic Concepts 3 — Questions and Answers
Question 1: What is the y-intercept of the line y = -4x + 7?
- -4
- 4
- 7 (Correct answer)
- -7
Correct answer: 7
In slope-intercept form y = mx + b, the y-intercept b = 7.
Question 2: Simplify: (x³ · x⁴) / x²
- x⁵ (Correct answer)
- x⁴
- x⁹
- x⁶
Correct answer: x⁵
x³ · x⁴ = x⁷, then x⁷ / x² = x⁵ using the quotient rule.
Question 3: A number is 4 less than twice another number. If their sum is 20, what is the larger number?
- 12 (Correct answer)
- 14
- 8
- 16
Correct answer: 12
Let n = smaller; 2n - 4 + n = 20 → 3n = 24 → n = 8, so the larger is 2(8)-4 = 12.
Question 4: Which property justifies the step: 3(x + 2) = 3x + 6?
- Commutative property
- Associative property
- Distributive property (Correct answer)
- Identity property
Correct answer: Distributive property
Multiplying 3 across the sum (x + 2) applies the distributive property.
Question 5: What is the solution set of |x - 3| = 5?
- {8}
- {-2, 8} (Correct answer)
- {2, -8}
- {-2}
Correct answer: {-2, 8}
x - 3 = 5 gives x = 8, and x - 3 = -5 gives x = -2, so the solution set is {-2, 8}.
Question 6: What is the product of (2x - 3)(x + 4)?
- 2x² + 5x - 12 (Correct answer)
- 2x² - 12
- 2x² + 8x - 12
- 2x² - 5x - 12
Correct answer: 2x² + 5x - 12
FOIL: 2x² + 8x - 3x - 12 = 2x² + 5x - 12.
Question 7: If 2x + y = 10 and x = 3, what is the value of y?
- 3
- 4 (Correct answer)
- 7
- 16
Correct answer: 4
Substitute x = 3: 2(3) + y = 10 → 6 + y = 10 → y = 4.
West B Test Math: Algebraic Concepts 3
What is the y-intercept of the line y = -4x + 7?