Cumulative Exam — Cumulative exam Answers

7 verified answers
21
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Vladas believes that an equation with a squared term is never a function of x. Which equation can be used to show Vladas that his hypothesis is incorrect?

A
x + y2 = 25
B
x2 – y = 25
C
x2 + y2 = 25
D
x2 – y2 = 25
22
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According to the scatterplot below, which statement is correct?

Question illustration
A
The input, or dependent variable, is courses completed.
B
The output, or dependent variable, is credits needed to graduate.
C
The input, or independent variable, is credits needed to graduate.
D
The output, or independent variable, is courses completed.
23

The table represents the function . Which value goes in the empty cell?

Question illustration
A
–1.5
B
–1
C
–0.5
D
0.5
24

Duncan shares 20 percent of all of his sales commissions with his personal assistant. If Duncan earns x dollars in commissions and gives his assistant y dollars, which equation correctly models this situation?

A
x = 0.20 y
Option A
B
y = 0.20 x
Option B
C
x = StartFraction y over 20 EndFraction
Option C
D
y = StartFraction x over 20 EndFraction
Option D
25

What is the slope, m, and the y-intercept of the line that is graphed below?

Question illustration
A
m = 1; (0, 3)
B
m = 1; (–3, 0)
C
m = –1; (0, 3)
D
m = –1; (–3, 0)
26

A bag contains 1 blue, 2 green, and 3 red marbles, as shown.What is the probability of drawing a green marble out of the bag without looking?

Question illustration
A
StartFraction 1 over 6 EndFraction
Option A
B
One-fifth
Option B
C
One-third
Option C
D
One-half
Option D
27

Which linear function has the greatest y-intercept?

A
y + 6 y = 36
Option A
B
y = 15 x + 5
Option B
C
3 x + 8 y = 24
Option C
D
y = 4 x + 7
Option D
28

Which equation is modeled below?

Question illustration
A
2 x + (negative 2) = negative 2 x + 6
Option A
B
4 x + (negative 2) = negative 2 x + 6
Option B
C
2 x + 4 = 6 x + 2
Option C
D
Negative 2 x + 4 = 6 x + (negative 2)
Option D
30

The equation of the trend line on the scatterplot below is . Using the trend line equation, what is the predicted approximate value of y when x = 3.5?

Question illustration
A
2.98
B
4.02
C
4.31
D
5.35
31

Which graph shows the solution set for ?

Question illustration
A
A number line going from negative 10 to 0. An open circle is at negative 7. Everything to the left of the circle is shaded.
Option A
B
A number line going from negative 10 to 0. An open circle is at negative 7. Everything to the right of the circle is shaded.
Option B
C
A number line going from 0 to 10. An open circle is at 7. Everything to the left of the circle is shaded.
Option C
D
A number line going from 0 to 10. An open circle is at 7. Everything to the right of the circle is shaded.
Option D
32

Genevieve is buying a car audio system that consists of a stereo, speakers, and amplifiers. She is choosing between 5 types of stereos and 2 types of amplifiers. If she has a total of 30 choices, how many types of speakers must there be?

A
3
B
6
C
10
D
20
33

Multiply –5x(7 – 2x).

A
–35x2 + 10
B
–35x + 10x2
C
–35x + 10
D
–35 + 10x2
34

If the relationship is proportional, what is the missing value from the table?xy–39–5?–721

A
–18
B
–15
C
15
D
18
35

The table of values below represents a linear function and shows the amount of snow that has fallen since a snowstorm began. What is the rate of change?Snowfall AmountLength of Snowfall(hours)Amount of Snow on the Ground(inches)03.30.54.51.05.71.56.92.08.1

A
1.2 inches per hour
B
2.4 inches per hour
C
3.3 inches per hour
D
5.7 inches per hour
36

A daycare facility charges a fee for every minute that a parent is late after the facility’s published closing time. The table represents the fee, y, which is dependent on the number of minutes late, x. xy5328501168Which of the following linear equations represents the situation?

A
y = 3 x + 22
Option A
B
y = 6 x + 36
Option B
C
y = 6 x + 2
Option C
D
y = 24 x + 36
Option D
37

Minnie graphs the temperature over a 24-hour period. Which type of graph should she use?

A
a discrete graph
B
a continuous graph
C
a bar graph
D
a histogram
38

The school band is putting on a concert. Eight students signed up to play the trumpet, 8 students signed up to play the flute, and 8 students signed up to play the violin. Which circle graph could be used to display the data?

A
A circle graph is split into 3 sectors of approximately 60 percent, 15 percent, 25 percent.
Option A
B
A circle graph is split into 3 sectors of approximately 50 percent, 25 percent, 25 percent.
Option B
C
A circle graph is split into 3 sectors of approximately 33 percent, 33 percent, 33 percent.
Option C
D
A circle graph is split into 3 sectors of approximately 70 percent, 15 percent, 15 percent.
Option D
39

Which equation represents the line that passes through points (1, –5) and (3, –17)?

A
y = negative 6 x + 1
Option A
B
y = 6 x + 1
Option B
C
y = negative 6 x minus 1
Option C
D
y = 6 x minus 1
Option D
40

Nico measured the water level in his pool every other day for two weeks. Which statement best describes the information shown by the scatterplot and trend line.

Question illustration
A
As the number of days increased, the water level always decreased.
B
As the number of days increased, the water level always increased.
C
As the number of days increased, the water level usually decreased.
D
As the number of days increased, the water level usually increased.

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