SAT Math · Algebra
Linear functions practice questions
Each free question on this page comes with its answer and a full explanation, and each one is marked easy, medium or hard.
- Question 2 · easyA linear function f satisfies f(2)=15 and f(6)=31. What is the value of f(10)?
- Question 3 · easyThe function f is defined by f(x) = kx - 4. If the graph of f passes through the point (3, 11), what is the value of k?
- Question 68 · easyThe linear function f has a slope of 4. If g(x) = 3f(x) - 7, what is the slope of g?
- Question 69 · mediumThe function f is defined by f(x) = kx + 5. If the graph of f is perpendicular to the line y = -2x + 3, what is the value of k?
- Question 70 · easyIf f(x) = 2x + 1 and g(x) = x² - 3, what is the value of f(g(2))?
- Question 87 · easyThe height of a plant, in centimeters, t months after being planted is modeled by h(t) = 2.5t + 8. What does the value 8…
- Question 88 · easyThe table below shows values of a linear function f. | x | f(x) | |---|---| | 1 | 7 | | 3 | 15 | | 5 | ? | What is the missing…
- Question 89 · mediumCompany A charges a flat fee of $60 plus $2 per unit produced. Company B charges a flat fee of $20 plus $4 per unit produced. At…
- Question 107 · mediumThe linear function f has a slope of 6. If g(x) = f(2x), what is the slope of g?
- Question 125 · mediumA model predicts that a company's monthly sales, in units, will be 50t + 200, where t is the number of months since launch. In…
- Question 130 · easyA linear function g satisfies g(-3) = 4 and g(1) = 16. What is the value of g(4)?
- Question 148 · mediumThe function f is defined by f(x) = ax + b. If f(1) = 5 and f(3) = 13, what is the value of a + b?
- Question 171 · mediumA rideshare service charges a base fee of $4 plus $2.50 per mile. A taxi charges a base fee of $10 plus $1.50 per mile. At how…
- Question 187 · easyThe function f is defined by f(x) = kx + 7. If the graph of f is parallel to the line y = 5x - 2, what is the value of k?
- Question 190 · mediumThe linear function f has a slope of -4. If g(x) = -2f(x) + 5, what is the slope of g?
- Question 210 · easyA linear function h satisfies h(-2) = 10 and h(3) = 0. What is the value of h(6)?
- Question 229 · easyA linear function p satisfies p(0) = 6 and p(4) = 22. What is the value of p(10)?
- Question 251 · easyA linear function q satisfies q(-1) = 12 and q(2) = 3. What is the value of q(5)?
- Question 267 · mediumThe function f is defined by f(x) = kx - 3. If the graph of f is perpendicular to the line y = 1/4x + 2, what is the value of k?
- Question 270 · easyThe linear function f has a slope of 7. If g(x) = 4f(x) - 9, what is the slope of g?
- Question 288 · easyA linear function r satisfies r(-4) = 20 and r(2) = 2. What is the value of r(6)?
- Question 307 · easyA linear function s satisfies s(-2) = 15 and s(3) = 0. What is the value of s(7)?