SAT OwlQuestion bank / Algebra
SAT Linear functions practice questions
Interpret slope and intercept, build linear models, and read values from function notation. Below are 20 free practice questions sorted from easy to hard. Open one to answer it and see the explanation.
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Question 1
The function f is defined by f(x) = 3x - 5. What is the value of f(4)?EasyQuestion 2
The function C(t) = 12 + 4.5t gives the total cost, in dollars, of renting a kayak for t hours. What is the best interprEasyQuestion 3
The function g is defined by g(x) = -2x + 9. If g(a) = 1, what is the value of a?EasyQuestion 4
A line in the xy-plane passes through the points (0, 3) and (2, 11). What is the slope of the line?EasyQuestion 5
The table shows three values of x and their corresponding values of f(x) for the linear function f. Which equation definEasyQuestion 6
The linear function h has a slope of 6, and h(0) = -4. What is the value of h(3)?EasyQuestion 7
A candle is 30 centimeters tall when it is lit. It burns at a constant rate, and after 4 hours it is 22 centimeters tallMediumQuestion 8
For the linear function f, f(2) = 7 and f(6) = 19. What is the value of f(10)?MediumQuestion 9
A line in the xy-plane passes through the points (-3, 5) and (1, -7). What is the y-coordinate of the y-intercept of theMediumQuestion 10
The graph of the linear function f in the xy-plane has an x-intercept at (6, 0) and a y-intercept at (0, -4). Which equaMediumQuestion 11
The total cost C, in dollars, of a phone plan after m months is given by C(m) = 45m + 120. Which statement is the best iMediumQuestion 12
The function f is defined by f(x) = ax + 7, where a is a constant. If f(3) = 19, what is the value of f(-2)?MediumQuestion 13
The formula F = 95C + 32 converts a temperature of C degrees Celsius to F degrees Fahrenheit. If a temperature increasesMediumQuestion 14
Line k is defined by y = 34x - 2. Line j is parallel to line k and passes through the point (8, 1). What is the y-coordiMediumQuestion 15
For the linear function f, f(x + 3) - f(x) = 12 for all values of x, and f(0) = -2. What is the value of f(5)?HardQuestion 16
For the linear function p, p(1) = -3 and p(5) = 9. If p(c) = 30, what is the value of c?HardQuestion 17
Water is drained from a tank at a constant rate. Ten minutes after draining begins, the tank holds 340 gallons, and 25 mHardQuestion 18
The graph of the linear function f in the xy-plane passes through the points (a, 2a) and (3a, -4a), where a is a nonzeroHardQuestion 19
The linear function h satisfies h(2x - 1) = 6x + 5 for all values of x. What is the value of h(7)?HardQuestion 20
The table shows three values of x and their corresponding values of f(x), where f is a linear function and k is a constaHard
The function f is defined by f(x) = 3x - 5. What is the value of f(4)?EasyQuestion 2
The function C(t) = 12 + 4.5t gives the total cost, in dollars, of renting a kayak for t hours. What is the best interprEasyQuestion 3
The function g is defined by g(x) = -2x + 9. If g(a) = 1, what is the value of a?EasyQuestion 4
A line in the xy-plane passes through the points (0, 3) and (2, 11). What is the slope of the line?EasyQuestion 5
The table shows three values of x and their corresponding values of f(x) for the linear function f. Which equation definEasyQuestion 6
The linear function h has a slope of 6, and h(0) = -4. What is the value of h(3)?EasyQuestion 7
A candle is 30 centimeters tall when it is lit. It burns at a constant rate, and after 4 hours it is 22 centimeters tallMediumQuestion 8
For the linear function f, f(2) = 7 and f(6) = 19. What is the value of f(10)?MediumQuestion 9
A line in the xy-plane passes through the points (-3, 5) and (1, -7). What is the y-coordinate of the y-intercept of theMediumQuestion 10
The graph of the linear function f in the xy-plane has an x-intercept at (6, 0) and a y-intercept at (0, -4). Which equaMediumQuestion 11
The total cost C, in dollars, of a phone plan after m months is given by C(m) = 45m + 120. Which statement is the best iMediumQuestion 12
The function f is defined by f(x) = ax + 7, where a is a constant. If f(3) = 19, what is the value of f(-2)?MediumQuestion 13
The formula F = 95C + 32 converts a temperature of C degrees Celsius to F degrees Fahrenheit. If a temperature increasesMediumQuestion 14
Line k is defined by y = 34x - 2. Line j is parallel to line k and passes through the point (8, 1). What is the y-coordiMediumQuestion 15
For the linear function f, f(x + 3) - f(x) = 12 for all values of x, and f(0) = -2. What is the value of f(5)?HardQuestion 16
For the linear function p, p(1) = -3 and p(5) = 9. If p(c) = 30, what is the value of c?HardQuestion 17
Water is drained from a tank at a constant rate. Ten minutes after draining begins, the tank holds 340 gallons, and 25 mHardQuestion 18
The graph of the linear function f in the xy-plane passes through the points (a, 2a) and (3a, -4a), where a is a nonzeroHardQuestion 19
The linear function h satisfies h(2x - 1) = 6x + 5 for all values of x. What is the value of h(7)?HardQuestion 20
The table shows three values of x and their corresponding values of f(x), where f is a linear function and k is a constaHard