Quiz about ACAP Review - 7th Grade 2024

Question 1

A vehicle used 1 1/8 gallons of gasoline to travel 13 1/2 miles. At this rate, how many miles can the vehicle travel per gallon of gasoline?

Accepted Answer

C. 12

Answer

A. 16/243

Answer

B. 4/3

Answer

D. 13

Question 2

Which representation shows a proportional relationship between x and y?

Accepted Answer

Table D

Answer

Graph A

Answer

Graph B

Answer

Table C

Question 3

Parker was able to pay for 44% of his college tuition with his scholarship. If the remaining amount he paid with a student loan was $10,054.52, what was the total cost of Parker's tuition?

Accepted Answer

A) $17,954.50

Answer

B) $18,305.00

Answer

C) $28,400.00

Answer

D) $23,283.91

Question 4

Clayton and Riley played a game where they threw plastic discs across a field into baskets. Each player earned a point for landing a disc in a basket and lost a point for missing a basket. Clayton ended with -12 points. Riley ended with 12 more points than Clayton.

How many points did Riley end with?

Accepted Answer

0

Answer

24

Answer

-24

Answer

12

Question 5

Which expression is equivalent to 4 - (-7)?

Accepted Answer

7 + 4

Answer

4 - 7

Answer

-7 - 4

Answer

-4 + 7

Question 6

A man on a boat is sitting 9 feet above sea level. A bird flies at an altitude of 54 feet above sea level, and a fish swims below at an altitude of 8 feet below sea level. The ocean floor sits 75 feet below the surface of the ocean.

What is the distance between the man and the fish?

Accepted Answer

17 feet

Answer

63 feet

Answer

1 feet

Answer

9 feet

Question 7

A man on a boat is sitting 9 feet above sea level. A bird flies at an altitude of 54 feet above sea level, and a fish swims below at an altitude of 8 feet below sea level. The ocean floor sits 75 feet below the surface of the ocean.

What is the distance between the man and the fish?

What is the distance between the bird and the man?

Accepted Answer

45 feet

Answer

63 feet

Answer

75 feet

Answer

8 feet

Question 8

Each time that Samantha rides the commuter train, she spends $4 for her fare. How much money will she spend after 13 days if she rides the train to and from work?

Accepted Answer

B) $104

Answer

A) $52

Answer

C) $26

Answer

D) $13

Question 9

A bank charges a service fee of $7.50 per month for a checking account. A bank account has $85.00. If no money is deposited or withdrawn except the service charge, how many months until the account balance is negative?

Accepted Answer

C) 12 months

Answer

A) 10 months

Answer

B) 11 months

Answer

D) 13 months

Question 10

What will the sensor read after 5 minutes if the hose fills the aquarium at a constant rate of 15 liters per minute and the initial reading was 225 liters?

Accepted Answer

300 liters

Answer

150 liters

Answer

375 liters

Answer

250 liters

Question 11

A restaurant bill is $21. You leave a 15% tip. How much do you pay including the tip?

Accepted Answer

C) $24.15

Answer

A) $3.15

Answer

B) $21

Answer

D) $36

Question 12

A furniture store pays a wholesale price for a mattress. Then, the store marks up the retail price to 150% of the wholesale price. Later, they put the mattress on sale for 50% off of the retail price. A customer just bought the mattress on sale and paid $1,200.

What was the retail price of the mattress before the discount?

Accepted Answer

$2,400

Answer

$800

Answer

$1,600

Answer

$1,200

Question 13

Which expression is equivalent to 8m + 6 - 3m - 2?

Accepted Answer

5m + 4

Answer

5m + 8

Answer

11m + 4

Answer

11m + 8

Question 14

Which expression is equivalent to -8(10x - 3)?

Accepted Answer

-80x + 24

Answer

-80x - 24

Answer

-80x + 3

Answer

-80x - 3

Question 15

Logan is at an amusement park. She bought 16 tickets and each ride requires 2 tickets.
Which expression gives the number of tickets Logan has left in terms of x, the number of rides she has already gone on?

Accepted Answer

16 - 2x

Answer

16 - x

Answer

16 + x

Answer

16 / x

Question 16

Logan is at an amusement park. She bought 16 tickets and each ride requires 2 tickets.

Using the expression 16 - 2x, how would the numbers in the expression be interpreted in terms of tickets and rides?

Accepted Answer

The number 16 represents the total number of tickets, and -2 represents the used tickets per ride.

Answer

The number 16 represents the number of rides, and x represents the number of tickets per ride.

Answer

The number 16 represents the number of tickets per ride, and x represents the total number of rides.

Answer

The number 16 represents the number of tickets left, and x represents the number of rides Logan can still go on.

Question 17

Which 3 of the following expressions represents the amount a customer pays including the tip of 15% if the bill was b dollars?

A. 0.15b

B. 15b

C. b + 0.15b

D. 1.15b

E. b + (15/100)b

Accepted Answer

C

Accepted Answer

D

Accepted Answer

E

Answer

A

Answer

B

Question 18

Ms. Miller bought x number of shirts for the new members of her basketball team. The cost for x number of shirts, including $3.99 shipping, was $77.49. Each shirt cost $12.25. There was not sales tax on the purchase.
Which equation could be used to find x?

Accepted Answer

12.25x + 3.99 = 77.49

Answer

3.99(x + 12.25) = 77.49

Answer

3.99x + 12.25 = 77.49

Answer

12.25(x + 3.99) = 77.49

Question 19

Martha participated in a charity walk in which each kilometer walked raised $10 for charity. Her goal was to raise more than $300 on Saturday and Sunday. She raised $150 on Saturday. Write an inequality that could be used.

Accepted Answer

150 + 10x > 300

Answer

150 + 10x < 300

Answer

150x + 10 > 300

Answer

150x + 10 < 300

Question 20

A city council member wanted to know how her constituents felt about a planned rezoning. She randomly selected 75 names from the city phone directly and conducted a phone survey. Which of the choices below correctly describes the population and sample of this data.

Accepted Answer

The population is everyone listed in the city phone

directory; the sample is the 75 people selected.

Answer

The population is the residents of the city;

the sample is the registered voters in the city.

Answer

The population is registered voters in the city;

the sample is everyone listed in the city phone directory.

Question 21

Select three valid comparisons.

Accepted Answer

The data sets have similar variabilities.

Accepted Answer

The distribution of each data set is skewed.

Accepted Answer

The difference in the medians is about 1.5 times the IQR.

Answer

The distribution of each data set is symmetric.

Answer

Values in data set A are generally less than the values in data set

Question 22

A bowling team participates in a two-day tournament and records the scores for each team on both days on the box plots.

Which conclusion can be drawn from the box plots?

Accepted Answer

The scores on Friday have a greater median than the scores

on Saturday, but both data sets have the same interquartile range.

Answer

The scores on Friday and the scores on Saturday have the same median and interquartile range.

Answer

The scores on Friday have a greater median and a greater interquartile range than the scores on Saturday.

Answer

The scores on Friday have a greater interquartile range than

the scores on Saturday, but both data sets have the same median.

Question 23

A large company has offices in cities across the county. The facilities director of the company was asked to survey employees about their office furniture. Rather than survey all employees in the company, the director decided to take a sample of employees. Which groups would be most representative of the opinions of all employees in the company?

Select three correct answers.

Accepted Answer

Employees with office phone numbers ending in 3 or 7

(assume every employee has an office phone)

Accepted Answer

5% of randomly selected employees from each office location

Accepted Answer

Employees who are randomly selected by a computer from a list of all company employees

Answer

Randomly selected employees in the cafeteria of one of the offices

Answer

Employees who have worked for the company for more than 10 years.

Question 24

Laura collected data throughout the football season and used this data to determine the probabilities of different teams playing in the championship now. The probabilities of her four favorite teams playing in the championship game are shown.

Which of these teams is least likely to play in the championship game?

Accepted Answer

Bulldogs

Answer

Tigers

Answer

Redbirds

Answer

Titans

Question 25

Which probability corresponds to an event that is unlikely to occur?

Accepted Answer

16%

Answer

22%

Answer

90%

Answer

100%

Question 26

Every student in a class tosses a thumbtack several times. The tack lands point up 118 times and lands on its side 82 times. Predict the theoretical probability of the tack landing on its side.

Accepted Answer

about 41%

Answer

about 31%

Answer

about 59%

Answer

about 70%

Question 27

The tables show your results of rolling a number cube n times. The graph shows your results of using technology to simulate 1000 rolls. How do the experimental results compare to the theoretical probability of rolling an odd number.

Accepted Answer

When n = 20, experimental probability < theoretical probability

Answer

When n = 50, experimental probability < theoretical probability

Answer

When n = 1000, experimental probability = theoretical probability

Answer

The experimental probability becomes farther from the theoretical probability as n increases.

Question 28

Alfie tossed a paper cup in the air 350 times and recorded whether it landed right side up, upside down, or on its side. The results of the experiment are shown in the table.
If Alfie tosses the paper cup 90 more times, what is the expected number of times that the cup will land on its side?

Accepted Answer

54

Answer

30

Answer

48

Answer

60

Question 29

What is the probability of the coin flip resulting in tails and the number cube roll resulting in an even number?

Accepted Answer

1/4

Answer

1/2

Answer

1/6

Answer

1/12

Question 30

A bag contains 20 different pieces of paper. One piece of paper is randomly drawn, not replaced, and then another piece of paper randomly drawn. How many unique outcomes are in the sample space for this situation?

Accepted Answer

380

Answer

19

Answer

20

Answer

400

Question 31

A scale drawing has a scale of 1 cm: 1 m.

You want to reproduce the scale drawing to be larger than the original. Which of the following scales could you use?

Accepted Answer

1 cm : 0.25 m

Answer

1 cm : 2 m

Answer

1 mm : 1 m

Answer

1 mm : 3 m

Question 32

The intersection of a plane and which solid can be a circle?

Accepted Answer

Cone

Answer

Cube

Answer

Rectangular Pyramid

Answer

Triangular Prism

Question 33

Solve and graph.
8a > -136

Accepted Answer

B

Answer

A

Answer

C

Answer

D

ACAP Review - 7th Grade 2024

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