Linear Function Benchmark Practice

A part of linear function g is graphed on the grid. Which inequalities best describe the domain and range of the part shown?

• Domain: -4 < x < 5; Range: -7 < g(x) < 6

• Domain: -7 < x < 6; Range: -4 < g(x) < 5

• Domain: -4 ≤ x ≤ 5; Range: -7 ≤ g(x) ≤ 6

• Domain: -7 ≤ x ≤ 6; Range: -4 ≤ g(x) ≤ 5

What is the equation in slope-intercept form of the line that passes through the points (-26, -11) and (39, 34)?

• y = -9/13 x + 7

• y = -9/13 x - 7

• y = 9/13 x + 7

• y = 9/13 x - 7

The graph of a linear function is shown on the grid. Which function is best represented by this graph?

• g(x) = 6x + 4

• g(x) = 4x - 2/3

• g(x) = -3/2 x + 6

• g(x) = -2/3 x + 4

The table represents some points on the graph of linear function f. Which function represents f?

• F f(x) = 26(x - 2)

• G f(x) = -26(2x - 1)

• H f(x) = 13(x - 2)

• J f(x) = -2(26x - 1)

The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds. What is the time in seconds the toy robot moves when the total distance is 408 centimeters?

• 24 s

• 17 s

• 13 s

• 37 s

Which statement best represents the equation of the line shown on the grid and its relationship to the x-axis?

• The equation of the line is x = 2.5, and the line is parallel to the x-axis.

• The equation of the line is x = 2.5, and the line is perpendicular to the x-axis.

• The equation of the line is y = 2.5, and the line is parallel to the x-axis.

• The equation of the line is y = 2.5, and the line is perpendicular to the x-axis.

The table of values shows a linear relationship between x and y. What is the slope of the line represented by the table of values?

• -5/8

• 5/8

• -8/5

• 8/5

The values in the table represent a linear relationship between x and y. What is the rate of change of y with respect to x?

• A) 10

• B) 17

• C) -10

• D) -17

A contractor’s total earnings from a job include a fixed amount plus an amount based on the number of hours worked. The values in the table represent the linear relationship between the number of hours worked and the contractor’s total earnings in dollars. What is the rate of change of the contractor’s total earnings in dollars with respect to the number of hours worked?

• $8.75 per hour worked

• $9.25 per hour worked

• $10.00 per hour worked

• $20.00 per hour worked

The graph of a linear function is shown on the grid. What is the rate of change of y with respect to x for this function?