Algebra

SAT linear functions practice questions

Linear functions in function notation. You evaluate f(x), build a function from two of its values, and read the slope and intercept of a model like C(h) = 15h + 10 as a rate and a starting amount.

Practice linear functions 101 questions, no account needed.

The usual trap

Keep inputs and outputs apart. It's easy to find x when the question asks for f(x), or the reverse. Watch the signs with negative inputs, too.

Try three questions

Pick an answer to check it and see why. Practice sets also have grid-ins, where you type the answer.

  1. 01Question 1

    Easy

    The function f is defined by f(x) = −2x + 5. What is the value of f(−3)?

  2. 02Question 2

    Medium

    The functions f and g are defined by f(x) = 3x + 2 and g(x) = 5x − 6. For what value of x does f(x) = g(x)?

  3. 03Question 3

    Hard

    For the linear function f, f(5) − f(1) = 22 and f(2) + f(4) = 40. What is the value of f(7)?

Keep going

Start a set in this skill. Every answer comes with an explanation.

Practice linear functions

101 questions in the bank: 25 Easy, 49 Medium, 27 Hard.

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