Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a building functions quiz? Then this Algebra 1 quiz on Building Functions from Real Situations asks 10 multiple-choice questions with instant feedback. This quiz has 10 multiple-choice questions on building functions, combining functions and inverses. Each question has one correct option and three distractors built from common mistakes. Read each explanation after answering.
Standards: F-BF.A.1a, F-BF.A.1b, F-BF.B.4a, F-LE.A.1b · Level: Grade 9 Algebra 1
What this Building Functions from Real Situations quiz checks
- Explicit rules give any output directly; recursive rules build each output from the previous one.
- A constant rate of change per unit interval gives a linear function.
- Profit = revenue − cost, so P(x) = R(x) − C(x).
- The inverse of a linear function undoes it: solve y = f(x) for x.
- The graph of an inverse is the mirror image of f over the line y = x.
The 10 questions of the quiz
- Which explicit rule describes “start at 40 and add 6 each step”?
- Which recursive rule matches f(n) = 7n − 2?
- If f(x) = x² and g(x) = 3x − 1, what is (f + g)(2)?
- Which formula gives profit P(x) from revenue R(x) and cost C(x)?
- Which rule undoes g(x) = 5x + 10?
- The graph shows a line through (0, 1), (2, 2) and (4, 3).Which is the inverse of this function?
- The graph shows a line through (0, 10), (2, 16) and (4, 22).What is the constant rate of change?
- Which quantity grows by the same amount in every equal time period?
- If f(x) = 4x − 9, for what x is f(x) = 23?
- A function f has f(2) = 11. What is f⁻¹(11)?
After the quiz
Missed a question? Reread the Building Functions from Real Situations lesson, then take the quiz again. Next, solve the Algebra 1 worksheet on Building Functions from Real Situations, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.