FREE Algebra Functions and Relations Questions and Answers 2026 October
Pass the FREE Algebra Functions and Relations exam with confidence. 🆕 Practice questions with detailed explanations and instant feedback on every answer.
Sample Algebra Test Practice Questions
Try these questions from our free Algebra Test practice tests. The correct answer and an explanation follow each question.
Which of the following relations is a function?
- A. {(1,2),(1,3),(2,4)}
- B. {(1,2),(2,3),(3,4)}
- C. {(2,1),(2,3),(2,5)}
- D. {(0,0),(1,1),(1,-1)}
Answer: B. {(1,2),(2,3),(3,4)}
A function requires each input to have exactly one output; only the second set has no repeated x-values.
Which function graphs as a straight line?
- A. f(x) = x²
- B. f(x) = 2x + 1
- C. f(x) = √x
- D. f(x) = 1/x
Answer: B. f(x) = 2x + 1
f(x) = 2x + 1 is a linear function and graphs as a straight line.
A negative leading coefficient on a quadratic function:
- A. Shifts the parabola up
- B. Makes it open downward
- C. Shifts it right
- D. Makes it narrower
Answer: B. Makes it open downward
A negative leading coefficient reflects the parabola over the x-axis so it opens downward.
An even function satisfies:
- A. f(-x) = -f(x)
- B. f(-x) = f(x)
- C. f(x + 1) = f(x)
- D. f(0) = 0
Answer: B. f(-x) = f(x)
An even function satisfies f(-x) = f(x), meaning it is symmetric about the y-axis.
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