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Linear Functions STAAR Released Items

Last updated 9 months ago
39 questions
1

Two points are plotted on the grid.


Which equation in slope-intercept form best represents the line that passes through these two points?

1

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

1

The graph of a linear function is shown.


Which function best represents the relationship shown in the graph?

1

The total cost, y, for x tickets to a concert includes a flat fee for processing and a cost per ticket. One customer purchased 4 tickets for a total cost of $160. Another customer purchased 8 tickets for a total cost of $300.

Which linear equation represents the total cost in dollars, y, for x tickets?

1

The table represents some points on the graph of a linear function.


Which function represents this relationship?

1

Printer ink costs $18.99 per cartridge. The company that sells the ink cartridges charges a flat rate shipping fee of $7.95, no matter the number of cartridges purchased in a single order. Which linear function models the total cost, t, for a single order of c cartridges?

1

The graph of a linear function is shown on the grid.


Which equation is best represented by this graph?

1

The conversion of degrees Celsius to degrees Fahrenheit can be represented by a linear relationship. The graph shows the linear relationship between y, the temperature in degrees Fahrenheit, and x, the temperature in degrees Celsius from the freezing point of water.


Which equation best represents this situation?

1

The graph of a linear function is shown on the grid.


Which function is best represented by this graph?

1

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


Which function represents f?

1

A line contains the points (-2, -2) and (4, 2).


What is the slope of the line?

1

The graph of a line passes through the points (-3,1) and (5,8).


What is the slope of the line?

1

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?

1

The graph of a line is represented by the equation 5x - 8y = 40. Which value represents the rate of change of y with respect to x for the equation?

1
The altitude of an airplane is changing at a constant rate. The table shows the linear relationship between y, the altitude of the airplane in feet, and x, the time in minutes.


Complete the statement that describes the rate of change of the altitude of the airplane with respect to time.

Choose the correct answer from each drop-down menu to complete the sentence.

The altitude of the airplane __________ at a rate of __________ feet per minute.
2
The water level in a tank is changing at a constant rate. The graph shows the relationship between time in hours, x, and the water level in meters, y.


Complete the statement that describes the rate of change of the water level with respect to time. Move the correct answer to each box. Not all answers will be used.
The water level ______________ at a rate of _________ m/h.
Other Answer Choices:
1
4
increases
decreases
0.25
1

A construction worker built steps up to a home. The table shows the linear relationship between the height off the ground in inches and the number of steps.


What is the rate of change of height off the ground with respect to the number of steps?

1

A worker is packing items in boxes. The table shows the linear relationship between the number of items the worker has packed in boxes after different amounts of time.


Which statement describes the rate of change of the number of items the worker packed in boxes with respect to the number of minutes the worker has been packing items in boxes?

1

The graph of a line is shown on the grid. The coordinates of both points indicated on the graph of the line are integers.


What is the rate of change of y with respect to x for this line?

1

The table shows the linear relationship between the distance in feet below sea level and the time in seconds traveled by a submarine.


What is the rate of change of the distance in feet below sea level with respect to time that the submarine traveled?

1

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?

1

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?

1

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?

1

Graph the line represented by the equation 2x + 3y = 6.
Select two points on the coordinate grid. A line will connect the points.

  • Click the graph tab.
  • Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
1

The graph of a linear function is shown on the grid.

What value best represents the y-intercept of the line?

1

The graph of a linear function, f, is shown.


What is the zero of f?

1

The graph of a linear function is shown on the grid.


What are the x-intercept and the y-intercept of the line?

1

Which graph best represents y = -4(x + 3) - 2?

1

Linear function k has a zero of -2 and a y-intercept of 6. Which graph best represents k?

1

The graph of linear function g passes through the points (-7, -4) and (7, 6), as shown.


What are the slope and y-intercept of the graph of g?

1

Linear function t has an x-intercept of -1 and a y-intercept of 5. Which graph best represents t?

1

The graph models the linear relationship between the number of monthly payments made on a loan and the remaining balance in dollars left to pay on the loan.


Which statement describes the x-intercept of the graph?

2
A customer is ordering hats and T-shirts from an online store. Each hat costs $7, and each T-shirt costs $10. The customer receives free shipping if the amount of the order is over $100.

Write an inequality that represents all possible combinations of hats, x, and T-shirts, y, in an order that qualifies for free shipping.

Move the correct answer to each box. Not all answers will be used.
______ x + _______ y ______ ________
Other Answer Choices:
=
7
100
<
>
17
10
1

A university will spend at most $4,500 to buy monitors and keyboards for a computer lab. Each monitor will cost $250, and each keyboard will cost $50.
Which inequality represents all possible combinations of x, the number of monitors, and y, the number of keyboards, the university can buy for the computer lab?

1

Which inequality is best represented by the graph?

1

Which ordered pair is in the solution set of y \leq \frac{3}{5}x - 6?

1

A customer is buying bath towels and hand towels and can spend no more than $100. Each bath towel costs $8, and each hand towel costs $5. The inequality 8x + 5y \leq 100 represents all possible combinations of x, the number of bath towels, and y, the number of hand towels the customer can buy.
Which graph best represents the solution set for this inequality?

1

The graph of y = -\frac{1}{6}x - 4 is shown on the grid.


Which ordered pair is in the solution set of y > -\frac{1}{6}x - 4?

1

Which ordered pair is in the solution set of 8x + 16y > 32?