Topic
UPCAT Algebra questions with answers
15 UPCAT algebra practice questions, each with the correct answer and a worked explanation. Drill this single topic instead of a whole subtest.
- 1Solve for x: 3(x − 4) = 2x + 5
Answer: C. x = 17Mathematics - 2Simplify: (2x²y)³
Answer: A. 8x⁶y³Mathematics - 6What are the roots of x² − 5x + 6 = 0?
Answer: B. 2 and 3Mathematics - 7If f(x) = 2x² − 3x + 1, what is f(−2)?
Answer: D. 15Mathematics - 17Solve the system: 2x + y = 11 and x − y = 1
Answer: C. x = 4, y = 3Mathematics - 18Simplify: √72
Answer: B. 6√2Mathematics - 19Expand: (x + 3)(x − 3)
Answer: B. x² − 9Mathematics - 20Factor completely: x² + 7x + 12
Answer: A. (x + 3)(x + 4)Mathematics - 31Solve for x: |2x − 5| = 9
Answer: B. x = 7 or x = −2Mathematics - 32Solve the inequality: 3x − 4 < 11
Answer: D. x < 5Mathematics - 40What is the vertex of the parabola y = x² − 6x + 5?
Answer: C. (3, −4)Mathematics - 41What is the domain of f(x) = 1 / (x − 3)?
Answer: D. All real numbers except 3Mathematics - 42Evaluate: log₂ 32
Answer: B. 5Mathematics - 43Solve for x: 2^(x + 1) = 32
Answer: A. x = 4Mathematics - 49Rationalize the denominator and simplify: 6 / √3
Answer: D. 2√3Mathematics