Summative 7 Review (8th and Algebra)

Summative 7 Review (8th)
1. Given the set of ordered pairs S = {(6, 2), (11, 5), (4, 2), (6, −3), (−9, −1)} , which ordered pair could be
removed to make S a function?
A. (11, 5)
B. (4, 2)
C. (6, −3)
D. (−9, −1)
2. Which table of ordered pairs does not represent a function?

A. x y
1 1
2 2
3 3
4 4
B. x y
1 1
2 2
3 2
4 1
C. x y
1 1
2 2
2 3
1 4
D. x y
4 0
3 0
2 0
1 0
3. Compare the functions f(x) and g(x) below, then drag each function from the left to its corresponding properties on the
right. Each property may correspond to zero, one, or both functions.
decreases between x = -4 and x =

-2
y-intercept is (0, -2)
minimum value occurs at x = -2
g(x) = -2 - 3x
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1/30/24, 9:39 PM Summative 7 Review (8th)
4.
Two functions are shown.
Select the box in each row to identify which function is described.
5. Function A is a linear function. The table below shows some of the ordered pairs for Function A.
Function
A
x y
-8 11
-4 8
4 2
8 -1
Function B is also a linear function. Function B is represented by the equation .

4x + 3y = 5
Which statement is true?

A. The rate of change for Function A is greater than the rate of change for Function B.
B. The rate of change for Function A is equal to the rate of change for Function B.
C. The y-intercept for Function A is equal to the y-intercept for Function B.
D. The y-intercept for Function A is less than the y-intercept for Function B.
6.
Functions H and J are both linear functions.
The table below shows some of the ordered pairs for Function H:
f(x)
x y
-4 -18
-2 -10
0 -2
2 6
The equation for Function J is:
1
f(x) = x − 2
4
Identify each of the following statements as either True or False.
7. Function A is represented by -2x + y = 8.

Function B is a linear function with some of its ordered pairs represented on the table below.
x y
1 4
3 3
5 2
7 1
Which statements about the two functions are true?
Select all that apply.

A. The rate of change for A is greater than the rate of change for B.
B. The rate of change for A is negative.
C. The two functions have the same rate of change.
D. The two functions would create a set of perpendicular lines if graphed.
E. The rate of chnage for B is greater than the rate of change for A.
8.
Which graph matches the function shown in the table?
A.
B.
C.
D.
9. Which equation represents a linear function?

A. y = x
2
− 7
B. y = 2x + 7
C. y =
2
x−7
D. y = 2(x + 7)
3
10. Which equations represent nonlinear functions? Select all that apply.
A. −x = y
B. y =
4
x − 5
3
C. y = x − 3 + x
2
D. y =
2
− 3
x
E. 2x
3
− x + 2y = 2(3x − 6y + x
3
)
11.
Select the box in each row to identify if each equation is Linear or Not Linear.
12. The linear equation y = 12 + 16x represents Annie's subscription to a magazine, where y is the total amount of
money Annie has paid, in dollars, to the magazine company and x is the number of magazines Annie has received.
How much does Annie pay for each additional magazine?

$ ___________
13. The table displays the amount of money, in dollars, Collin has after buying a certain number of video games. Each
video game costs the same amount.
Amount of
Number of
Money Collin
Video Games
Has ($)
2 58.50
4 36.00
6 13.50
Select a number from each dropdown menu to make the following sentence true.
According to the table, Collin initially had $ ___________ before purchasing any video games, and the cost of each
game was $ ___________ .
14. What is the initial y-value of the linear function whose graph includes the points (-2, 0) and (3, 10)?
A. 2
B. 3
C. 4
D. 5
15. A function models a linear relationship between the mileage (miles driven) for a truck and the number of years since it
was purchased. Currently, the truck’s mileage is 107,500, and it has been driven at a rate of 15,000 miles per year since
it was purchased 7 years ago.
What is the initial value of the mileage function, in miles?

A. 0 miles
B. 7 miles
C. 2,500 miles
D. 10,700 miles
16. A function is graphed on a coordinate plane as shown.
Which of the following statements correctly describe this function? Select all that apply.
A. It is increasing at a constant rate.
B. It is decreasing at a constant rate.
C. It is both increasing and decreasing.
D. It is linear.
E. It is nonlinear.
17. A function is shown below.
Select the options that correctly complete the sentences.
When x is between -4 and -2, the function is [CHOICE 1].
When x is between 5 and 8, the function is [CHOICE 2].
Choice 1 Choice 2
increasing increasing
decreasing decreasing
neither neither
increasing nor increasing nor
decreasing decreasing
18. The graph represents Simon's velocity, y, while running a race as a function of time, x.
During which of the following intervals is this function decreasing and linear?
A. 1 < x < 20 (seconds)
B. 20 < x < 30 (seconds)
C. 30 < x < 50 (seconds)
D. 50 < x < 60 (seconds)
19. Over the course of a day, Katelyn measured the temperature outside her house. The graph shows the function
describing the temperature throughout the day.
Which of the following statements about the graph are true?
Select all that apply.

A. The temperature dropped from 6 a.m. to Noon.
B. The temperature stayed the same frrom Midnight to 6 a.m.
C. The temperature rose from 6 p.m. to Midnight.
D. The temperature increased from Noon to 6 p.m.
E. The temperature rose from 6 a.m. to Noon.
20. Barbara turns on her water to begin filling a tub. After pouring water into the tub at a constant rate for 5 minutes,
Barbara turns off the water for 15 minutes. Then Barbara unplugs the tub to allow the water to begin draining out. The
water drains at a constant rate for 20 minutes until the tub is empty again.
Which graph represents the volume of water in the tub during this time?
A.
B.
C.
D.
Summative 7 Review (Algebra)
21.
1.
Which of the points shown below are solutions to the system of linear inequalities y > 2x − 6 and y ≤ − 1
3
x + 3 ?
22
2.
Which graph represents the solutions to the inequality below?
A.
B.
C.
D.
23
3. Given the function
−−−−
f(x) = −√x + 4 − 3 , which statement is true?
A. f(−3) = f(−4)
B. f(−3) > f(−4)
C. f(0) > f(−3)
D. f(0) > f(5)
1/30/24, 9:41 PM Summative 7 Review (Algebra)
24
4. Given
−−−−−−
2
f(x) = 4x − √x + 16 , what is the value of f(3)?
f(3) = ___________
255. Given the function f(x) = {

−4x + 2
3x
2
− 9x + 6
if x > 1
if x ≤ 1
, what is the range when the domain is
{−7, −4, −1, 1, 4, 7} ?
A. {−26, −14, 0, 18, 90, 216}
B. {−26, −14, −2, 18, 90, 216}
C. {−2, 6, 18, 30, 90}
D. {0, 6, 18, 30, 90}

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Summative 7 Review (8th)

2. Which table of ordered pairs does not represent a function?

decreases between x = -4 and x =

y-intercept is (0, -2)

minimum value occurs at x = -2

Select the box in each row to identify which function is described.

Function B is also a linear function. Function B is represented by the equation .

Which statement is true?

Identify each of the following statements as either True or False.

7. Function A is represented by -2x + y = 8.

Which statements about the two functions are true?

Select all that apply.

9. Which equation represents a linear function?

How much does Annie pay for each additional magazine?

What is the initial value of the mileage function, in miles?

16. A function is graphed on a coordinate plane as shown.

17. A function is shown below.

Select the options that correctly complete the sentences.

When x is between -4 and -2, the function is [CHOICE 1].

When x is between 5 and 8, the function is [CHOICE 2].

Which of the following statements about the graph are true?

Select all that apply.

255. Given the function f(x) = {

{−7, −4, −1, 1, 4, 7} ?

A. {−26, −14, 0, 18, 90, 216}

B. {−26, −14, −2, 18, 90, 216}

C. {−2, 6, 18, 30, 90}

D. {0, 6, 18, 30, 90}

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