Show work for the attachment below03 – Lesson 2, Exam 3

Question 1 of 20

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In the diagram, the figures are similar. What is x?

A. 3.4 ft

B. 0.4 ft

C. 2.3 ft

D. 2.6 ft

Question 2 of 20

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School guidelines require that there must be at least 2 chaperones for every 25 students going

on a school trip. How many chaperones must there be for 80 students?

A. 6 chaperones

B. 40 chaperones

C. 3 chaperones

D. 7 chaperones

Question 3 of 20

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Glen is looking into buying a piece of land. He estimates that the land measures 100 yd by 850

yd. The land is actually 140 yd by 940 yd. What is the percent error in the estimated area of the

land?

A. 35.4%

B. 17.7%

C. 64.6%

D. 32.3%

Question 4 of 20

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What is the solution of the equation?

16 = –d + 6

A. 10

B. –10

C. –9

D. –15

Question 5 of 20

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A tree casts a shadow 10 ft long. A boy standing next to the tree casts a shadow 2.5 ft long.

The triangle shown for the tree and its shadow is similar to the triangle shown for the boy and

his shadow. If the boy is 5 ft tall, how tall is the tree?

A. 18 ft

B. 12.5 ft

C. 15 ft

D. 20 ft

Question 6 of 20

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Manny and Emma are both competing in a long jump competition at their school. Manny can

jump four fifths of the distance that Emma can jump. Manny can jump 40 inches. How far can

Emma jump?

A. 32 inches

B. 50 inches

C. 39.2 inches

D. 40.8 inches

Question 7 of 20

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John and 2 friends are going out for pizza for lunch. They split one pizza and 3 large drinks.

The pizza cost $12.00. They spend a total of $16.95. Find the cost of one large drink.

A. $1.70

B. $1.65

C. $14.48

D. $2.48

Question 8 of 20

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What is the solution of the equation?

6x – 3 = 5x – 5

A. –4

B. –2

C. 0

D. –1

Question 9 of 20

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Aimi is making Valentine’s Day cards for everyone in her class. She plans to use a whole sheet

of paper for each of her 6 closest friends. She will use 1/8 of a sheet of paper for everyone else

in the class. She has 34 sheets of paper. How many of the smaller cards can she make?

A. 4 cards

B. 224 cards

C. 3 cards

D. 272 cards

Question 10 of 20

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A flock of Canadian geese migrated 1623 miles in 28 days. What was the average rate at which

these geese traveled in miles per day?

A. 73 miles per day

B. 113 miles per day

C. 47 miles per day

D. 58 miles per day

Question 11 of 20

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A. -7/5

B. 35

C. 12

D. -35

Question 12 of 20

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During the month of February, Fabulous Feet Shoe Mart sold 48 pairs of red loafers. After an

ad campaign to boost sales, they sold 60 pairs in March. Find the percent of increase in sales.

A. 29%

B. 19%

C. 25%

D. 15%

Question 13 of 20

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What is the solution of the proportion?

A. 56

B. 672

C. 168

D. 576

Question 14 of 20

3p – 1 = 5(p – 1) – 2(7 – 2p)

A. 3

B. 0

C. -9

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D. -10

Question 15 of 20

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What percent of 10 is 6?

A. 60%

B. 0.6%

C. 1.67%

D. 167%

Question 16 of 20

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195 s; minutes

A. 4.5 min

B. 3 min

C. 3.25 min

D. 2.5 min

Question 17 of 20

What percent of 100 is 30?

A. 30%

B. 333%

C. 3.33%

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D. 0.3%

Question 18 of 20

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A dress that normally costs $69.50 is on sale for 45% off. What is the sale price of the dress?

A. $38.23

B. $31.28

C. $24.50

D. $1.54

Question 19 of 20

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What is the solution of the equation?

4(y + 2) = 32

A. –10

B. 4

C. 6

D. 10

Question 20 of 20

What is the solution of the equation?

2 = 6p – 8 – 5p

A. –10

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B. 2

C. 10

D. –6

Part 1 of 1 –

Question 1 of 20

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The bulk food section of a grocery store has two bins with different types of mixed nuts. The first bin

contains walnuts, peanuts, and pistachios. The second bin contains pecans, almonds, Brazil nuts, and

walnuts. What is a set that represents all the types of nuts in both bins?

A. {walnuts, peanuts, pistachios, pecans, almonds}

B. {walnuts, peanuts, pistachios, pecans, almonds, Brazil nuts}

C. {walnuts}

D. {peanuts, pistachios}

Question 2 of 20

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Suppose U = {–10, –6, –2, 0, 3, 5} is the universal set and T is the set {–10, –6, 0}.

What is the complement of set T?

A. {–2, 3, 5}

B. {–10, –6, 0}

C. {–6, –2, 0, 3, 5}

D. {0, 3, 5}

Question 3 of 20

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A doctor is examining 3 patients. Which symptoms do all three patients have in common?

A. {headaches, hair loss, congestion}

B. {cold sweats, congestion, memory loss}

C. {spasms, memory loss, appetite loss}

D. {fever, joint pain, tiredness}

Question 4 of 20

What are the solutions of the inequality? Graph the solutions.

b–4>4

A. b >0

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B. b > –8

C. b < –8
D. b > 8

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Question 5 of 20

What are the solutions of the inequality? Graph the solutions.

–12r < –24
A. r > –12

B. r < 2
C. r > 2

D. r < –12
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Question 6 of 20
What is the graph of the inequality? x
–3
A.
B.
C.
D.
Question 7 of 20
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What compound inequality represents the phrase? Graph the solutions.
all real numbers that are greater than –8 and less than 8
A. –8 < x < 8
B. –8 < x < 8
C. –8 < x
D. –8
x
8
8
Question 8 of 20
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What are the solutions of the inequality? Graph the solutions.
A.
B.
C.
D.
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Question 9 of 20
What are the solutions of
?
Write the solutions as either the union or the intersection of two sets.
A.
B.
C.
D.
Question 10 of 20
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What are the solutions of the inequality?
A.
B.
C.
all real numbers
D.
no solution
Question 11 of 20
What inequality represents the verbal expression?
all real numbers less than 69
A. x < 69
B. x > 69

C.

D.

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Question 12 of 20

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What are the solutions of the inequality?

12x – 3x + 11 > 4x – (17 – 9x)

A. x > –7

B. x < 7
C.
D.
Question 13 of 20
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How do you write the set in roster form? In set builder notation?
D is the set of whole numbers less than 3.
A. D = {0,1,2,3,4,5}; D = {x is a whole number, x < 3}
B. D = {0,1}; D = {x | x < 3}
C. D = {0,1,2}; D = {x | x is a whole number, x < 3}
D. D = {0,1,2,3,4,5,6,7}; D = {x < 3}
Question 14 of 20
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You have two boxes of colored pens. The first box contains a red pen, a blue pen, and green
pen. The second box contains a yellow pen, a red pen, and a black pen. What is the set that
represents all the pens?
A. {red pen, blue pen, green pen}
B. {red pen}
C. {red pen, red pen, green pen, yellow pen, black pen}
D. {red pen, blue pen, green pen, yellow pen, black pen}
Question 15 of 20
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Which number is the inequality?
m 7/12
A. 1
B. -1
C. -9
D. -5
Question 16 of 20
What are the solutions of the compound inequality? Graph the solutions.
–2 < 4x – 10 < 6
A. 4 < x < 12
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B. -3 < x < -1
C. –16 < x < –8
D. 2 < x < 4
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Question 17 of 20
Which is a solution of the inequality?
p + 4 – 2(p – 10) > 0

A. 22

B. 29

C. 24

D. 26

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Question 18 of 20

How do you write

A.

as an inequality?

x < 8 or x > 10

B.

x < 10 or x > 8

C.

x < 8 and x > 10

D.

x < 10 and x > 8

Question 19 of 20

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What inequality describes the situation?

Let n = the number. A number exceeds 45.

A.

B.

C.

n < 45
D.
n > 45

Question 20 of 20

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The French Club is sponsoring a bake sale. If their goal is to raise at least $140, how many

pastries must they sell at $3.50 each in order to meet that goal? Write and solve an inequality.

A. 140p 3.50; p 40

B. 3.50p 140; p 136.5

C. 3.50p 140; p 40

D. 3.50p 140; p 490

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