AnswersEAP-Algebra Functions and Data Analysis A CRCumulative Exam

Cumulative Exam — Cumulative exam Answers

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21
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Which equation is equivalent to –k + 0.03 + 1.01k = –2.45 – 1.81k?

A
–100k + 3 + 101k = –245 – 181k
B
–100k + 300 + 101k = –245 – 181k
C
–k + 3 + 101k = –245 – 181k
D
–k + 300 + 101k = –245 – 181k
22
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The table projects t-shirt sales during an upcoming fundraiser (x) and the corresponding dollar profit (y).When using the median-fit method with summary points (60, 180), (110, 460), and (150, 670), what is the approximate y-intercept of the best-fit model?

Question illustration
A
–138.8
B
–142.7
C
–144.0
D
–146.6
23

Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two graphs? Select three options.Ava’s graph is a vertical translation of f(x) = x2.Victor’s graph is a vertical translation of f(x) = x2.Ava’s graph moved 4 units from f(x) = x2 in a positive direction.Victor’s graph moved 4 units from f(x) = x2 in a positive direction.Ava’s graph has a y-intercept of 4.

A
Ava’s graph is a vertical translation of f(x) = x2.
B
Victor’s graph is a vertical translation of f(x) = x2.
C
Ava’s graph moved 4 units from f(x) = x2 in a positive direction.
D
Victor’s graph moved 4 units from f(x) = x2 in a positive direction.
E
Ava’s graph has a y-intercept of 4.
24

Which system of linear inequalities has the point (2, 1) in its solution set?

A
y less-than negative x + 3. y less-than-or-equal-to one-half x + 3
Option A
B
y less-than negative one-half x + 3. y less-than one-half x.
Option B
C
Option
Option C
D
y less-than one-half x. y less-than-or-equal-to negative one-half x + 2
Option D
25

A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.

Question illustration
A
zero
B
undefined
C
negative
D
positive
26

The weight of Jacob’s backpack is made up of the weight of the contents of the backpack as well as the weight of the backpack itself. Seventy percent of the total weight is textbooks. His notebooks weigh a total of 4 pounds, and the backpack itself weighs 2 pounds. If the backpack contains only textbooks and notebooks, which equation can be used to determine t, the weight of the textbooks?

A
0.7(t) = t – 4 – 2
B
0.7(t) = t + 4 + 2
C
0.7t(4 + 2) = t
D
0.7(t + 4 + 2) = t
27

Which of the following graphs represents a function?

A
On a coordinate plane, a graph shows an image of a curved line connected to a straight line. The curved line is upward facing and goes through the y-axis at (0, 0.75). The curved line connects with the straight line at (1, 0.75). The straight line has a negative slope and goes through the x-axis at (2, 0).
Option A
B
On a coordinate plane, a circle intercepts the x-axis at points (negative 2, 0) and (2, 0) and intercepts the y-axis between points 3 and 4 and also between points negative 3 and negative 4.
Option B
C
On a coordinate plane, a parabola opens right and has a vertex at (negative 3, 3).
Option C
D
A coordinate plane has 7 points. The points are (negative 4, 3), (negative 2, negative 5), (negative 1, negative 3), (1, 3), (2, negative 2), (4, negative 2), (4, 2).
Option D
28

The perimeter of a rectangular pool is more than 62 meters, and the width is at least 10 meters less than the length. Which system of inequalities represents the possible length in meters, l, and the possible width in meters, w, of the pool?

A
w ≤ 10 – l2l + 2w ≥ 62
B
w ≤ 10 – l2l + 2w > 62
C
w ≤ l – 102l + 2w ≥ 62
D
w ≤ l – 102l + 2w > 62
29

Which function is a quadratic function?

A
t(x) = (x – 4)2 + 3
B
q(x) = (2x + 4)3 + 3
C
r(x) = (–6x – 4)4 + 3(x + 2)2
D
s(x) = –(x – 6) + 3(x + 1)
30

Carmine mixes 2.8 pounds of cashews with almonds to make a trail mix. He divides the trail mix into 5 equal portions. Each portion weighs 1.5 pounds. Which equation and solution shows the total amount of almonds he used in the mixture?

A
pounds of almonds
Option A
B
pounds of almonds
Option B
C
pounds of almonds
Option C
D
pounds of almonds
Option D
31

Which graph shows the solution to the system of inequalities below?

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
32

The tables represent the functions f(x) and g(x).

Question illustration
A
x = –12
B
x = –9
C
x = –6
D
x = –3
33

Make a scatter plot of the data below. Speed (mph) Stopping distance (ft) 10 12.5 20 36.0 30 69.5 40 114.0 50 169.5 60 249.0 70 325.5 Use the quadratic regression feature of a graphing calculator to find a quadratic model. Round to the nearest hundredths place. a. b. c. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
34

Which graph shows the correct solution to the linear-quadratic system of inequalities below?

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
35

Becky created a graph to represent her distance away from home one afternoon. She left home and ran to the park, met some friends and stayed at the park, and then walked back home using the same route. Which graph could Becky have created?

A
Option
B
Option
C
Option
D
Option
36

How is the graph of transformed to produce the graph of ?

Question illustration
A
It is stretched horizontally by a factor of 2 and translated up 3 units.
B
It is compressed horizontally by a factor of 2 and translated up 3 units.
C
It is stretched vertically by a factor of 2 and translated up 3 units.
D
It is compressed vertically by a factor of 2 and translated up 3 units.
37

Which graph represents the solution to the system of inequalities?

Question illustration
A
On a coordinate plane, an ellipse has center (0, 0) and goes through (0, 4), (2, 0), (0, negative 4), and (negative 2, 0). A circle has center (negative 1, 1) and radius 2. Everything inside of the ellipse and circle is shaded.
Option A
B
On a coordinate plane, an ellipse has center (0, 0) and goes through (0, 4), (2, 0), (0, negative 4), and (negative 2, 0). A circle has center (negative 1, 1) and radius 2. Everything inside of the ellipse and outside of the circle is shaded.
Option B
C
On a coordinate plane, an ellipse has center (0, 0) and goes through (0, 4), (2, 0), (0, negative 4), and (negative 2, 0). A circle has center (1, negative 2) and radius 2. Everything inside of the ellipse and circle is shaded.
Option C
D
On a coordinate plane, an ellipse has center (0, 0) and goes through (0, 4), (2, 0), (0, negative 4), and (negative 2, 0). A circle has center (1, negative 2) and radius 2. Everything inside of the ellipse and outside of the circle is shaded.
Option D
38

What is the value of x in the equation (x + 12) = (x + 14) – 3?

Question illustration
A
–24
B
–6
C
negative StartFraction 2 Over 3 EndFraction.
Option C
D
0
39

Gerri purchases a coupon book with discounts for her favorite coffee shop. Every coupon for the coffee shop offers the same discount. The table shows her total savings, y, based on the number of coupons, x, used from the book.

Question illustration
A
slope: 2, y-intercept: –20
B
slope: 2, y-intercept: 10
C
slope: 5, y-intercept: –20
D
slope: 5, y-intercept: 10
40

Suppose that, during a certain step in a chemical manufacturing process, the amount of chlorine dissolved in a solution (measured in parts per million (ppm)) is related to the elapsed time measured from the beginning of the step. Use the following table as a representation of this relationship. Elapsed Time (minutes) 3 6 9 12 15 Amount Dissolved (ppm) 18.0 20.4 22.4 24.4 26.2 The data is represented in the table graphically with elapsed time (minutes) on the horizontal axis and the amount of dissolved chlorine (ppm) on the vertical axis. What general trend does the data reflect? a. There is no apparent trend in the data. c. With increasing elapsed time, the amount of dissolved chlorine decreases. b. With increasing elapsed time, the amount of dissolved chlorine increases. d. With increasing elapsed time, the amount of dissolved chlorine remains the same. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D

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