Cumulative Exam — Cumulative exam Answers

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Consider the quadratic function. f(p) = p2 – 8p – 5What are the values of the coefficients and the constant in the function?

A
a = –1, b = –8, c = –5
B
a = 1, b = –5, c = –8
C
a = 1, b = –8, c = –5
D
a = –1, b = –5, c = 8
22
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Which are points on the graph of y = 1.5 + ⌈x⌉? Select three options (–4.5, –2.5)(–0.8, 0.5)(7.9, 9.5)(4.5, 6)(1.3, 3.5)

A
(–4.5, –2.5)
B
(–0.8, 0.5)
C
(7.9, 9.5)
D
(4.5, 6)
E
(1.3, 3.5)
23

Mr. Walker is looking at the fundraiser totals for the last five years.

Question illustration
A
The median is $1.60 greater than the mean.
B
The mean is $1.60 greater than the median.
C
The median is $2.82 greater than the mean.
D
The mean is $2.82 greater than the median.
24

The inverse of the function f(x) = is shown. h(x) = 2x-What is the missing value?

Question illustration
A
1
B
5
C
10
D
20
25

Shayna enlarged a square photo by adding 10 inches to each side so it could be seen on a large poster. The area of the enlarged photo is 256 square inches. In the equation (x + 10)2 = 256, x represents the side measure of the original square photo.

A
4 inches by 4 inches
B
6 inches by 6 inches
C
10 inches by 10 inches
D
12 inches by 12 inches
26

A square piece of paper has an area of x2 square units. A rectangular strip with a width of 2 units and a length of x units is cut off of the square piece of paper. The remaining piece of paper has an area of 120 square units.

A
x2 − 2x − 120 = 0
B
x2 + 2x − 120 = 0
C
x2 − 2x + 120 = 0
D
x2 + 2x + 120 = 0
27

The two-way table represents data from a survey asking teachers whether they teach English, math, or both. Which is the joint relative frequency for teachers who teach math and not English? Round the answer to the nearest percent.

Question illustration
A
8%
B
21%
C
33%
D
38%
28

Which expression is a difference of squares with a factor of 5x − 8?

A
25x2 − 16
B
25x2 + 16
C
25x2 − 64
D
25x2 + 64
29

What is f(x) = 7x2 + 42x written in vertex form?

A
f(x) = 7(x + 6)2 – 6
B
f(x) = 7(x + 6)2 – 42
C
f(x) = 7(x + 3)2 – 9
D
f(x) = 7(x + 3)2 – 63
30

A rectangle with an area of x2 – 4x – 12 square units is represented by the model.

Question illustration
A
(x + 2) and (x – 6)
B
(x + 6) and (x – 2)
C
(x + 2) and (x – 10)
D
(x + 10) and (x – 2)
31

What is the vertex of the graph of f(x) = |x – 13| + 11?

A
(–11, 13)
B
(–13, 11)
C
(11, 13)
D
(13, 11)
32

A road is made in such a way that the center of the road is higher off the ground than the sides of the road, in order to allow rainwater to drain. A cross-section of the road can be represented on a graph using the function f(x) = (x – 16)(x + 16), where x represents the distance from the center of the road, in feet. Rounded to the nearest tenth, what is the maximum height of the road, in feet?

Question illustration
A
0.1
B
0.8
C
1.3
D
1.6
33

What does a residual value of 1.3 mean when referring to the line of best fit of a data set?

A
A data point is 1.3 units above the line of best fit.
B
A data point is 1.3 units below the line of best fit.
C
The line of best fit has a slope of –1.3
D
The line of best fit has a slope of 1.3.
34

Priya is playing a game where she earns online badges for scoring higher than the mean score on a level. After the tenth level, she scores 3,540 points, which is 2 standard deviations above the mean score of 3,110 points.

A
215
B
311
C
354
D
430
35

The data in the table represent the height of an object over time.

Question illustration
A
quadratic, because the height of the object increases or decreases with a multiplicative rate of change
B
quadratic, because the height increases and then decreases
C
exponential, because the height of the object increases or decreases with a multiplicative rate of change
D
exponential, because the height increases and then decreases
36

The first few steps in deriving the quadratic formula are shown.

Question illustration
A
The term is added to the right side of the equation, so it needs to be subtracted from the left side of the equation to balance the sides of the equation.
Option A
B
The distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.
C
The term needs to be converted so it has a common denominator before adding it to the left side of the equation to balance the equation.
Option C
D
The square root of the term needs to be found before adding the term to the left side of the equation to balance the sides of the equation.
37

Which relationships could have a negative correlation? Select three options.number of hours worked and free timespeed of a car and minimum stopping distancethe speed of a train and the length of time to reach the destinationadult’s head circumference and agea tadpole’s age and the length of it’s tail

A
number of hours worked and free time
B
speed of a car and minimum stopping distance
C
the speed of a train and the length of time to reach the destination
D
adult’s head circumference and age
E
a tadpole’s age and the length of it’s tail
38

Simplify the expression –3(x + 3)2 – 3 + 3x. What is the simplified expression in standard form?

A
–3x2 – 18x – 27
B
–3x2 – 15x – 30
C
–3x2 + 3x + 6
D
–3x2 + 3x – 30
39

The graph represents the data cost for monthly Internet service for a cell phone.

Question illustration
A
C(x) =
Option A
B
C(x) =
Option B
C
C(x) =
Option C
D
C(x) =
Option D
40

Which represents the polynomial written in standard form?4m – 2m4 – 6m2 + 9

A
9 + 4m + 2m4 – 6m2
B
2m4 – 6m2 – 4m + 9
C
9 – 6m2 + 4m – 2m4
D
–2m4 – 6m2 + 4m + 9

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