STAAR Review 4: Linear Functions

Use the link below to access the desmos calculator you will have on the EOC.

DESMOS

1

The table represents some points on the graph of a linear function.
Which function represents this relationship?

y=-\frac{3}{2}x-14

y=-\frac{3}{2}x+4

y=-\frac{2}{3}x-9

y=-\frac{2}{3}x-1

AI.9.2.C

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.

null

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.

Drugi mogući odgovor:

increases

0.25

1

4

decreases

AI.9.3.B

1

The table shows the number of species added to the United States endangered species list each year for several years. A linear function can be used to model the data.
Which correlation best describes the strength of the linear association between the number of species added to the United States endangered species list and the year?

Strong negative correlation, because r = -0.91

Weak negative correlation, because r = -0.09

Weak negative correlation, because r = -0.91

Strong negative correlation, because r = -0.09

AI.9.4.A

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

Drugi mogući odgovor:

7

=

17

10

<

>

100

AI.9.2.H

1

The graph of the function f(x)=x is transformed to form function g(x) such that g(x)=3f(x). Which graph represents f and g?

null

AI.9.3.E

1

A line is graphed on a coordinate grid.
Which statement about the line is true?

The equation of the line is y = -4, and the slope is undefined.

The equation of the line is x = -4, and the slope is undefined.

The equation of the line is x = -4, and the slope is equal to -4.

The equation of the line is y = -4, and the slope is equal to -4.

AI.9.2.G

1

The graph of a linear function, f, is shown.
What is the zero of f?

3

-6

2

-3

AI.9.3.C

1

The table shows the number of customers each hour for an online sale.
Which function best models the data in the table?

f(x)=296-38x

f(x)=296 - 41x

f(x)=317-3x

f(x)=337-41x

AI.9.4.C

1

A line contains the points (-2, -2) and (4, 2).
What is the slope?

-\frac{2}{3}

\frac{3}{2}

-\frac{3}{2}

\frac{2}{3}

AI.9.3.A

1

The two types of tickets sold at a baseball game are standard tickets and discounted tickets. The price of a discounted ticket was 80% of the price of a standard ticket.
-There were 153 standard tickets sold at the baseball game.
-There were 47 discounted tickets sold at the baseball game.
-The total amount of ticket sales from the standard and discounted tickets was $2,649.34.
The line graphed on the grid represents the first equation in a system of linear equations for this situation.
If the second equation in the system is y=0.80x, what is the best estimate of the price of a discounted ticket?

$14.55

$13.25

$13.95

$11.15

AI.9.3.G

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?

t=18.99c+7.95

c=26.94t

c=18.99t+7.95

t=26.94c

AI.9.2.C

1

The graph shows point P and line m.
Which equation best represents the slope-intercept form of the line that passes through point P and is parallel to m?

y=\frac{3}{2}x+5

y=\frac{2}{3}x-\frac{2}{3}

y=\frac{3}{2}x-5

y=\frac{2}{3}x+\frac{2}{3}

AI.9.2.E

1

The graph of a linear function is shown on the grid.
What are the x-intercept and the y-intercept of the line?

x-intercept: (-2, 0)

y-intercept: (0, 4)

x-intercept: (4, 0)

y-intercept: (0, 8)

x-intercept: (-2, 0)

y-intercept: (0, 8)

x-intercept: (8, 0)

y-intercept: (0, -2)

AI.9.3.C

1

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

y=-\frac{7}{4}x+7

y=-\frac{4}{7}x+7

y=-\frac{7}{4}x+4

y=-\frac{4}{7}x+4

AI.9.2.C

1

A florist is making bouquets of flowers for a wedding. Each bouquet will have 9 flowers. The graph shows the linear relationship between y, the number of flowers used, and x, the number of bouquets.
The florist will use no more than 8 bouquets for the wedding. Which set best represents the domain for the function for this situation?

{0, 9, 18, 27, 36, 45, 54, 63, 72}

{0, 18, 36, 54, 72, 90}

{0, 1, 2, 3, 4, 5, 6, 7, 8}

{0, 2, 4, 6, 8, 10}

AI.9.2.A

1

Two points are plotted on the grid.
Which equation in slope-intercept form best represents the line that passes through these two points?

y=-\frac{2}{3}x-\frac{10}{3}

y=-\frac{11}{3}x-\frac{2}{3}

y=-\frac{2}{3}x-\frac{11}{3}

y=-\frac{10}{3}x-\frac{2}{3}

AI.9.2.B

1

A construction manager is monitoring the progress of the build of a new house. The scatterplot and table show the number of months since the start of the build and the percentage of the house still left to build. A linear function can be used to model this relationship.
Which function best models the data?

y = 97.8x - 13.5

y = -13.5x + 7.3

y = 7.3x - 97.8

y = -13.5x + 97.8

AI.9.4.C

1

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

null

AI.9.3.C

2

Which equation best represents the line shown on the grid?

null

Place the correct answer in each blank.

=

Drugi mogući odgovor:

x

y

-6

0

6

AI.9.2.G

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?

y=\frac{5}{9}x+32

y=\frac{9}{5}x

y=\frac{9}{5}x+32

y=\frac{5}{9}x

AI.9.2.C

1

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

-\frac{7}{8}

-\frac{9}{2}

\frac{9}{2}

\frac{7}{8}

AI.9.3.A

1

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

null

AI.9.3.C

STAAR Review 4: Linear Functions

The table represents some points on the graph of a linear function. Which function represents this relationship?

The graph of the function f(x)=x is transformed to form function g(x) such that g(x)=3f(x). Which graph represents f and g?

A line is graphed on a coordinate grid. Which statement about the line is true?

The graph of a linear function, f, is shown. What is the zero of f?

The table shows the number of customers each hour for an online sale. Which function best models the data in the table?

A line contains the points (-2, -2) and (4, 2). What is the slope?

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?

The graph shows point P and line m.Which equation best represents the slope-intercept form of the line that passes through point P and is parallel to m?

The graph of a linear function is shown on the grid. What are the x-intercept and the y-intercept of the line?

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

Two points are plotted on the grid. Which equation in slope-intercept form best represents the line that passes through these two points?

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

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

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

The table represents some points on the graph of a linear function. Which function represents this relationship?

The graph of the function f(x)=x is transformed to form function g(x) such that g(x)=3f(x). Which graph represents f and g?

A line is graphed on a coordinate grid. Which statement about the line is true?

The graph of a linear function, f, is shown. What is the zero of f?

The table shows the number of customers each hour for an online sale. Which function best models the data in the table?

A line contains the points (-2, -2) and (4, 2). What is the slope?

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?

The graph shows point P and line m.Which equation best represents the slope-intercept form of the line that passes through point P and is parallel to m?

The graph of a linear function is shown on the grid. What are the x-intercept and the y-intercept of the line?

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

Two points are plotted on the grid. Which equation in slope-intercept form best represents the line that passes through these two points?

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

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

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

The table represents some points on the graph of a linear function.
Which function represents this relationship?

A line is graphed on a coordinate grid.
Which statement about the line is true?

The graph of a linear function, f, is shown.
What is the zero of f?

The table shows the number of customers each hour for an online sale.
Which function best models the data in the table?

A line contains the points (-2, -2) and (4, 2).
What is the slope?

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?

The graph shows point P and line m.
Which equation best represents the slope-intercept form of the line that passes through point P and is parallel to m?

The graph of a linear function is shown on the grid.
What are the x-intercept and the y-intercept of the line?

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

Two points are plotted on the grid.
Which equation in slope-intercept form best represents the line that passes through these two points?

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

The table represents some points on the graph of a linear function.
Which function represents this relationship?

A line is graphed on a coordinate grid.
Which statement about the line is true?

The graph of a linear function, f, is shown.
What is the zero of f?

The table shows the number of customers each hour for an online sale.
Which function best models the data in the table?

A line contains the points (-2, -2) and (4, 2).
What is the slope?

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?

The graph shows point P and line m.
Which equation best represents the slope-intercept form of the line that passes through point P and is parallel to m?

The graph of a linear function is shown on the grid.
What are the x-intercept and the y-intercept of the line?

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

Two points are plotted on the grid.
Which equation in slope-intercept form best represents the line that passes through these two points?

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