Unit Test — Cumulative exam Answers

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What is a solution to (x + 6)(x + 2) = 60?

A
x = −6
B
x = −4
C
x = 4
D
x = 12
2
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Which is the graph of ?

Question illustration
A
Option
B
Option
C
Option
D
Option
3

A quadratic equation has zero real number solutions. Which could be the discriminant value associated with this equation?

A
–5
B
0
C
1
D
6
4

The explicit rule for an arithmetic sequence is What is the value of the 47th term? Round to the nearest tenth, if necessary.

Question illustration
A
–55.7
B
–26.4
C
45.6
D
65.8
5

Kai, a seventh grader, wants to determine the average number of times the families in his neighborhood visit the pool during the summer. He samples the families of four of his classmates. Which improvements could Kai make to his sample to increase the validity of the results? Select three choices.

A
sample more families
B
sample families that have children who are not in seventh grade
C
sample families that regularly use the pool
D
sample families whose answer to the survey question is predetermined
E
sample families living in every third house in the neighborhood
6

Which function represents exponential growth?

A
f(x) = 3x
B
f(x) = x3
C
f(x) = x + 3
D
f(x) = 3x
7

What is the explicit formula for the arithmetic sequence ?

Question illustration
A
mc017-2.jpg
Option A
B
mc017-3.jpg
Option B
C
mc017-4.jpg
Option C
D
mc017-5.jpg
Option D
8

What is the missing value in the following arithmetic sequence?n12345an23.85.6 9.2

A
7.1
B
7.2
C
7.4
D
7.5
9

Eighty members of a bike club were asked whether they like touring bikes and whether they like mountain bikes. A total of 70 like touring bikes, 47 like mountain bikes, and 5 do not like either. What are the correct values of a, b, c, d, and e?

Question illustration
A
a = 42, b = 28, c = 33, d = 5, e = 10
B
a = 42, b = 5, c = 28, d = 33, e = 10
C
a = 5, b = 42, c = 28, d = 10, e = 33
D
a = 5, b = 10, c = 28, d = 33, e = 42
10

An exponential growth function has an asymptote of y = –3. Which might have occurred in the original function to permit the range to include negative numbers?

A
A whole number constant could have been added to the exponential expression.
B
A whole number constant could have been subtracted from the exponential expression.
C
A whole number constant could have been added to the exponent.
D
A whole number constant could have been subtracted from the exponent.
11

A child’s toy harp is in the shape of a trapezoid as shown.In square inches, what is the area of the harp?

Question illustration
Answer not available
12

The table shows the approximate height of an object x seconds after the object was dropped. The function h(x) = –16x2 + 100 models the data in the table.

Question illustration
A
–2.75
B
0.25
C
1.75
D
2.25
13

An architect designs a diagonal path across a rectangular patio. The path is 29 meters long. The width of the patio is x meters, and the length of the path is 5 meters more than the width.

Question illustration
A
0.5(x)(x + 5) = 29
B
0.5(x)(x + 5) = 841
C
x2 + (x + 5)2 = 29
D
x2 + (x + 5)2 = 841
14

Layla is determining the area of the trapezoid. Her work is shown below. Step 1: Break the figure into rectangles and triangles. Step 2: Find the area of the rectangle: .Step 3: Find the area of the triangle: .Step 4: Add the areas together: square feet.Which best describes Layla’s error?

Question illustration
A
The height of the triangle in Step 1 should be 4 ft.
B
The area of the triangle in Step 3 should be .
Option B
C
The area of the triangle is Step 3 should be halved because there is only one triangle.
D
The areas in Step 4 should be multiplied instead of added.
15

A circular rug has a radius of 4.5 feet. What is the circumference of the rug? Use 3.14 for and round to the hundredths place.

Question illustration
A
14.13
B
28.26
C
44.37
D
88.74
16

The table shows the probabilities of certain prizes in a restaurant’s contest where the first 100 customers are winners.

Question illustration
A
It increases the mean value of the prizes.
B
It decreases the mean value of the prizes.
C
It increases the median value of the prizes.
D
It decreases the median value of the prizes.
17

Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each side to answer the question. Which statement about triangle QRS is true?

Question illustration
A
Triangle QRS is an equilateral triangle because QR = RS.
B
Triangle QRS is an isosceles triangle because QR = QS.
C
Triangle QRS is a scalene triangle because all sides have different lengths.
D
Triangle QRS is an isosceles triangle because QR = RS.
18

The function f(x) = 5 is reflected over the y-axis. Which equations represent the reflected function? Select two options.f(x) = f(x) = f(x) = 5f(x) = 5(5)xf(x) = 5(5)–x

Question illustration
A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) = 5
Option C
D
f(x) = 5(5)x
E
f(x) = 5(5)–x
19

Point A has an x coordinate of −2 and lies in a circle with a center at (0, 0) and a radius of 5.

Question illustration
A
4.5
B
4.6
C
4.7
D
4.8
20

Which statements about the function are true? Select three options.

A
The vertex of the function is at (–4,–15).
B
The vertex of the function is at (–3,–16).
C
The graph is increasing on the interval x > –3.
D
The graph is positive only on the intervals where x 1.
E
The graph is negative on the interval x < –4.

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