Question 1

Which expression has the least value when $x = 100$? 
(*NO CALCULATOR*)

Accepted Answer

$1-x$

Answer

$\frac{10}{x}$

Answer

$\frac{1}{x}$

Answer

$10-x$

Question 2

The cafeteria staff made sandwiches. Each sandwich had either rye or white bread, either ham or turkey, and either cheese or no cheese. The staff made an equal number of each type of sandwich. The sandwiches were placed on a tray. Without looking, Mary will choose a sandwich. What are the chances that Mary will get a sandwich with cheese? 
(*NO CALCULATOR*)

Accepted Answer

$\frac{1}{2}$

Answer

$\frac{1}{8}$

Answer

$\frac{1}{6}$

Answer

$\frac{1}{3}$

Question 3

A $5$-lb bag of apples costs $$\$4.50,$$ and an $8$-lb bag of the same type of apples costs $$\$7.52.$$ Greg found the unit price, which is the constant of proportionality between cost and weight, for each bag of apples. What is the difference in the unit prices?
(*NO CALCULATOR*)

Accepted Answer

$$\$0.04$$per pound

Answer

$$\$0.21$$ per pound

Answer

$$\$0.16$$ per pound

Answer

$$\$0.12$$ per pound

Question 4

The scores that Joni and Sally received on their first seven assignments are shown
in this table. Which statement is true? 
(*NO CALCULATOR*)

Accepted Answer

Sally's median score is lower than Joni's median score.

Answer

Sally's median score is higher than Joni's median score.

Answer

The median scores cannot be determined.

Answer

Sally's median score is the same as Joni's median score.

Question 5

Which expression is equivalent to $\frac{1} {2}$ $(2n + 6)?$
(*NO CALCULATOR*)

Accepted Answer

$n + 3$

Answer

$\frac{1} {2}+2n + 6$

Answer

$n + 6$

Answer

$2\frac {1} {2}n + 6\frac{1}{2}$

Question 6

Susan's weekly earnings were proportional to the number of hours she worked.
This table shows the number of hours Susan worked and the amount she earned. 
How much money did Susan earn per hour? 
(*NO CALCULATOR*)

Accepted Answer

$$\$9.5$$

Answer

$$\$19.00$$

Answer

$$\$22.50$$

Answer

$$\$7.50$

Question 7

Which expression is equivalent to $3	imes$-$ (2x + 4) + 5?$ 
(*NO CALCULATOR*)

Accepted Answer

$x + 1$

Answer

$x + 9$

Answer

$5x + 1$

Answer

$5x + 9$

Question 8

This table shows the relationship between x and y. 
Which equation models this relationship? 
(*NO CALCULATOR*)

Accepted Answer

$y = 54.5x$

Answer

$y = 53x$

Answer

$y = 54x$

Answer

$y = 53.5x$

Question 9

Which expression is equivalent to $2(3-x)-12+4x$?
(*NO CALCULATOR*)

Accepted Answer

$2x-6$

Answer

$3x-6$

Answer

$2x-7$

Answer

$3x-7$

Question 10

Mr. Kelly pays $$\$12,564$$ a year for rent. His rent is a constant amount each month.
Which equation represents the amount he pays per month if $m$ = months and
$c$ = total rent paid for the year?
(*NO CALCULATOR*)

Accepted Answer

$1,047m = c$

Answer

$1,047 + m = c$

Answer

$m\div1,047 = c$

Answer

$1,047c = m$

Question 11

A library has $12,500$ fiction books and $19,000$ nonfiction books.

$\bullet\quad$ Currently, $\frac{2}{5}$ of the fiction books are checked out.
$\bullet\quad$ Currently, $\frac{2}{5}$ of the nonfiction books are checked out.
$\bullet\quad$ Of the books checked out, $\frac{1}{10}$ are due back this week.
How many books are due this week?

Only $0, 1, 2, 3, 4, 5, 6, 7, 8, 9, . , -,$ and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or decimal. 
(*NO CALCULATOR*)

Accepted Answer

1260

Question 12

Kevin is paid $$\$8.80$$ per hour. He worked $7$ hours. He gave his mother $\frac{1}{4}$ of his
earnings. How much did Kevin have left?

(Note: Express the answer as dollars.cents.)
Only $0, 1, 2, 3, 4, 5, 6, 7, 8, 9, . , -, $and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or decimal. 
(*NO CALCULATOR*)

Accepted Answer

46.20

Question 13

Square $RSTU$ is inside trapezoid $RSVU.$ What is the measure, in degrees, of angle $VSR?$

Only $0, 1, 2, 3, 4, 5, 6, 7, 8, 9, . , -, $and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or decimal.
(*NO CALCULATOR*)

Accepted Answer

135

Question 14

Janet can make $\frac{4}{5}$ of a necklace in $20$ minutes. At this rate, how many necklaces,
to the nearest tenth of a necklace, can Janet make in $1$ hour?

Only $0, 1, 2, 3, 4, 5, 6, 7, 8, 9, . , -, $and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or decimal. 
(*NO CALCULATOR*)

Accepted Answer

2.4

Question 15

Kyle bought x pencils. He paid $$\$1.24,$$ including tax, per pencil. He gave the
cashier $$\$20$$ and received $$\$5.12$$ in change. How many pencils did Kyle purchase?

Only $0, 1, 2, 3, 4, 5, 6, 7, 8, 9, . , -, $and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or decimal. 
(*NO CALCULATOR*)

Accepted Answer

12

Question 16

The angles in this diagram are complementary. 
What is the value of $x$?
Only $0, 1, 2, 3, 4, 5, 6, 7, 8, 9, . , -, $and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or
decimal.

Accepted Answer

14

Question 17

A car used $\frac{1}{64}$ of a gallon of gas to drive $\frac{1}{4}$of a mile. At this rate, how many miles can the car travel using $1$ gallon of gas?
Only $0, 1, 2, 3, 4, 5, 6, 7, 8, 9, . , -, $and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or
decimal.

Accepted Answer

16

Question 18

Craig earns the same amount of money each month. His telephone bill is $\frac{1}{20}$ of his monthly earnings, and he pays a total of $$\$720$$ each year for his telephone service. How much does Craig earn each month, in dollars?
Only $0, 1, 2, 3, 4, 5, 6, 7, 8, 9, . , -, $and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or
decimal.

Accepted Answer

1200

Question 19

A recipe requires $\frac{1}{4}$ cup of oil for every $\frac{2}{3}$ cup of water. How much oil (in cups) is needed per cup of water?
Only $0, 1, 2, 3, 4, 5, 6, 7, 8, 9, . , -, $and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or
decimal.

Accepted Answer

3/8

Question 20

In this figure, $ST$ is a line. 
What is the value of $x?$
Only $0, 1, 2, 3, 4, 5, 6, 7, 8, 9, . , -, $and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or
decimal.

Accepted Answer

108

Question 21

This table shows how much each type of meat costs at a local deli. 
A customer purchased $\frac{1}{4}$pound of ham, $1\frac{1}{2}$ pounds of turkey, $1$ pound of roast beef, and $\frac{3}{4}$ pound of bologna. APPROXIMATELY what will the customer pay  for the purchase before sales tax?

Accepted Answer

$$\$19$$

Answer

$$\$17$$

Answer

$$\$25$$

Answer

$$\$22$$

Question 22

Four friends each flipped a coin different numbers of times.
$\quad\bullet\quad$Alice got heads $75\%$ of the time.
$\quad\bullet\quad$ Mary got heads $8$ out of $10$ times.
$\quad\bullet\quad$ Sarah got heads $17$ out of $20$ times.
$\quad\bullet\quad$ Ellen got heads $\frac{3}{5}$ of the time.
 Who had the greatest percentage of heads?

Accepted Answer

Sarah

Answer

Alice

Answer

Mary

Answer

Ellen

Question 23

Martin ordered a pizza with a $16$-inch diameter. Ricky ordered a pizza with a $20$-inch diameter. What is the APPROXIMATE difference in area of the two pizzas?

Accepted Answer

$113\, 	ext{inches}^2$

Answer

$452\, 	ext{inches}^2$

Answer

$50\, 	ext{inches}^2$

Answer

$201\, 	ext{inches}^2$

Question 24

A state representative took several random surveys of adults to find which place they visited most frequently. The average of all of the surveys is shown in this table. 
Based on the table, which conclusion can be made?

Accepted Answer

On average, 2 out of 10 adults visited the museum most frequently.

Answer

On average, $17\%$ of the adults visited the park most frequently.

Answer

On average, 2 out of 25 adults visited the aquarium most frequently.

Answer

On average, $50\%$ of the adults visited the zoo most frequently.

Question 25

Tony bought a $$\$48$$ sweatshirt and used a coupon for a $10\% $discount. Keith bought an identical sweatshirt at a different store for $$\$42.95.$$ Which statement is
true?

Accepted Answer

Keith paid $$\$0.25$$ less than Tony paid.

Answer

Tony paid $$\$0.25$$ less than Keith paid.

Answer

Tony paid $$\$4.95$$ less than Keith paid.

Answer

Keith paid $$\$4.95$$ less than Tony paid.

Question 26

Which expression is equivalent to  $\frac{-1}{\enspace2}(\frac{1}{4}x-\frac{3}{8})?$

Accepted Answer

$\frac{-1}{\enspace8}x+\frac{3}{16}$

Answer

$\frac{1}{8}x-\frac{3}{8}$

Answer

$\frac{-1}{\enspace8}x+\frac{3}{8}$

Answer

$\frac{1}{8}x-\frac{3}{16}$

Question 27

Erica saw a skateboard on sale for $$\$59.95$$. The original price of the skateboard was $$\$79.95$$. What is the APPROXIMATE percent discount on the skateboard?

Accepted Answer

$25\%$

Answer

$20\%$

Answer

$80\%$

Answer

$75\%$

Question 28

Jane wants to pick out an outfit for the school dance. She can choose from 3 pairs of pants, 5 shirts, and 2 pairs of shoes. How many different outfits does Jane have to choose from?

Accepted Answer

$30$

Answer

$15$

Answer

$60$

Answer

$10$

Question 29

This diagram is a scale drawing of a store. 
To the nearest 50 square feet, what is the area of the actual store?

Accepted Answer

$2,500$ square feet

Answer

$2,450$ square feet

Answer

$2,350$ square feet

Answer

$2,400$ square feet

Question 30

This spinner will be spun twice. 
What is the probability of spinning an odd number both times?

Accepted Answer

$\frac{1}{4}$

Answer

$\frac{3}{4}$

Answer

$\frac{1}{8}$

Answer

$\frac{1}{2}$

Question 31

Which choice describes the value of m when $-5(m+1)\le23$?

Accepted Answer

$m\ge\frac{-28}{\enspace5}$

Answer

$m\ge\frac{-18}{\enspace5}$

Answer

$m\le\frac{-28}{\enspace5}$

Answer

$m\le\frac{-18}{\enspace5}$

Question 32

Paul has a spinner with 4 colors: green, yellow, blue, and orange. He spins the spinner 60 times and records each color it stops on. The results are shown in this table. 
Paul will spin the spinner an additional 450 times. How many times should he expect the spinner to stop on blue?

Accepted Answer

$105$

Answer

$113$

Answer

$140$

Answer

$124$

Question 33

Circle $M$ has a radius of $7.0$ cm. The shortest distance between $P$ and $Q$ on the circle is $7.3$ cm.
What is the APPROXIMATE area of the shaded portion of circle $M$?

Accepted Answer

$25.6\, 	ext{cm}^2$

Answer

$153.9\, 	ext{cm}^2$

Answer

$44.0\, 	ext{cm}^2$

Answer

$21.0 \, 	ext{cm}^2$

Question 34

Nicole wants to conduct a survey of the opinions of students at her middle school.
Which survey sample would give her the most accurate results?

Accepted Answer

random students as they enter the school

Answer

random seventh-grade students during lunch

Answer

students during math class

Answer

teachers in the seventh-grade hallway

Question 35

A teacher divided the class into two groups of equal size.
$\quad\bullet\quad\frac{3}{5}$  of the first group are right-handed.
$\quad\bullet\quad80\% $of the second group are right-handed.
 What fraction of the class is right-handed?

Accepted Answer

$\frac{7}{10}$

Answer

$\frac{5}{7}$

Answer

$\frac{4}{5}$

Answer

$\frac{8}{9}$

Question 36

This graph shows time and distance traveled for two objects. 
Which statement is true?

Accepted Answer

Object $1$ travels $\frac{5}{6}$ of a foot more per minute than Object $2$.

Answer

Object $2$ travels $\frac{6}{5}$ of a foot more per minute than Object $1$.

Answer

Object $2$ travels $\frac{5}{6}$ of a foot more per minute than Object $1$.

Answer

Object $1$ travels $\frac{6}{5}$ of a foot more per minute than Object $2$.

Question 37

Jamal, Gary, Charlie, and Brian are going to stand in a line, one behind the other.
In how many different ways can they stand in the line?

Accepted Answer

24

Answer

4

Answer

10

Answer

16

Question 38

What is the value of $y4 when  $-5=\frac{y-7}{9}$?

Accepted Answer

$-38$

Answer

$-11$

Answer

$-7$

Answer

$-52$

Question 39

Which choice has a value that is closest to the value of the following expression?
$\frac{17} {12}-\frac{49}{ 40}$

Accepted Answer

$\frac{1}{5}$

Answer

$\frac{1}{6}$

Answer

$\frac{1}{7}$

Answer

$\frac{1}{4}$

Question 40

The equation $y = 6.75x$ models the cost, in dollars, to purchase $x$ pounds of steak at grocery store $1$. This table shows the cost to buy different weights of steak at grocery store $2$. 
Which statement is true?

Accepted Answer

The cost of steak at grocery store 1$ $is $$\$0.75$$ less per pound than at grocery store $2$.

Answer

The cost of steak at grocery store $1$ is $$\$0.50$$ more per pound than at grocery store $2$.

Answer

The cost of steak at grocery store $1$ is $$\$0.75$$ more per pound than at grocery store $2$.

Answer

The cost of steak at grocery store $1$ is $$\$0.50$$ less per pound than at grocery store $2$.

Question 41

This table shows the number of points two teams scored in five games. 
What is the difference in the mean absolute deviation of the two teams?

Accepted Answer

$2.16$

Answer

$7.0$

Answer

$8.96$

Answer

$6.2$

Question 42

Daniel earned $$\$8.00$$ per hour at his job.
$\quad\bullet\quad$ Daniel works $35$ hours each week.
$\quad\bullet\quad$ He received a $5\%$ pay increase.
How much more money will Daniel earn each week after the pay increase?

Accepted Answer

$$\$14$$

Answer

$$\$48$$

Answer

$$\$39$$

Answer

$$\$5$$

Question 43

The test scores for the students in Mr. Miller's math class are shown here.
$52, 61, 69, 76, 82, 84, 85, 90, 94$
 What is the range of the test scores?

Accepted Answer

$42.0$

Answer

$22.5$

Answer

$77.0$

Answer

$82.0$

Question 44

The two ends of this triangular right prism are equilateral triangles. The measurements are given to the nearest tenth of a cm. 
What is the surface area of the prism?

Accepted Answer

$74\,	ext{cm}^2$

Answer

$280\,	ext{cm}^2$

Answer

$140\,	ext{cm}^2$

Answer

$70\,	ext{cm}^2$

Question 45

The probability that a person in a certain town has brown eyes is $2$ out of $5$. A survey of $450$ people from that same town was taken. How many people would be expected to have brown eyes?

Accepted Answer

$180$

Answer

$90$

Answer

$225$

Answer

$45$

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