Math Review

Grade 8

Samir made a pattern by starting with 9 and repeatedly dividing by 3, as shown below:

1/6

1/9

1/1

2 1

/18

25% 25%25%25%

9, 3, 1, 1/3, ?, 1/27, …

What number belongs in the position indicated by the question mark?

A. 1/6

B. 1/9

C. 1/12

D. 1/18

Between which two consecutive integers on the number line does √11 lie?

3 a

nd 4

5 a

nd 6

11

and

12

22

and

23

25% 25%25%25%A. 3 and 4

B. 5 and 6

C. 11 and 12

D. 22 and 23

The minimum distance from Neptune to Earth is about 2.68 billion miles. What is 2.68 billion written in scientific notation?

2.6

8 x

106

2.6

8 x

107

2.6

8 x

109

2.6

8 x

1010

25% 25%25%25%A. 2.68 x 106

B. 2.68 x 107

C. 2.68 x 109

D. 2.68 x 1010

What is the value of the expression below?│15│+ │-10│

-25 -5 5 25

25% 25%25%25%A. -25

B. -5

C. 5

D. 25

Mr. Lee has one mathematics class with 16 students and one with 24 students. He wants to

divide each class into groups with the same number of students in each group. What is the

greatest number of students Mr. Lee can have in each group?

2 4 6 8

25% 25%25%25%A. 2

B. 4

C. 6

D. 8

Which of the following is equivalent to the expression below?

3(1.50) + 3(2.50)25% 25%25%25%

A. 3(1.50 + 2.50)

B. 3(1.50)(2.50)

C. 3(1.50 + 3)2.50

D. 3(3) + (1.50)(2.50)

Which of the following is equivalent to the expression below?

-2(x – 3)

x –

5

x +

6

-2x

– 5

-2x

+ 6

25% 25%25%25%

A. x – 5

B. x + 6

C. -2x – 5

D. -2x + 6

Which of the following is equivalent to the expression below?

2/3 ÷ 3/4

2/3

÷ 4

/3

2/3

* 4/

3

3/2

÷ 3

/4

3/2

* 3/

4

25% 25%25%25%

A. 2/3 ÷ 4/3

B. 2/3 * 4/3

C. 3/2 ÷ 3/4

D. 3/2 * 3/4

Based on the pattern shown in the table, which of the following expressions could represent the

value of the nth term?

3n

n +

3

2n +

3

2n +

1

25% 25%25%25%n F(n)

1 3

2 5

3 7

4 9

n ?

A. 3n

B. n + 3

C. 2n + 3

D. 2n + 1

What is the value of the expression below?√36 + 13 * 2

32 38 62 98

25% 25%25%25%

A. 32

B. 38

C. 62

D. 98

The graph below shows the distance an airplane traveled over time. Which of the following is closest to the average speed of the airplane?

100

mph

250

mph

500

mpg

100

0 m

ph

25% 25%25%25%

A. 100 mph

B. 250 mph

C. 500 mpg

D. 1000 mph

The floor of the lobby of a theater is shaped like a rectangle, as shown below. Before a performance starts, a velvet rope is stretched diagonally across the lobby. Which of the following best describes the diagonal length of the lobby?

About

8 m

About

9 m

About

10

m

About

11

m

25% 25%25%25%

A. About 8 m

B. About 9 m

C. About 10 m

D. About 11 m

A large jet has a wingspan of 87 1/3 yards, as shown below.

What is the wingspan, in feet, of the jet?

25% 25%25%25%

A. 29 ft.

B. 1048 ft.

C. 873.3 ft

D. 262 ft.

Which of the following graphs best represents the following equation? y = -2x + 1

A B C D

25% 25%25%25%

A. A

B. B

C. C

D. D

Abe tested 85 Brand X light bulbs to determine their life spans. The histogram below shows the results of his test. What was the total number of Brand X light bulbs that had life spans greater than or equal to 1000 hours?

72 56 51 21

25% 25%25%25%

A. 72

B. 56

C. 51

D. 21

Which of the following lines appears to have y-intercept of 4 and a slope of 1/3?

A B C D

25% 25%25%25%

A. A

B. B

C. C

D. D

A shipping box is in the shape of a rectangular prism, as shown below. If the volume is 288 cubic inches, what is the height of the box?

25% 25%25%25%

A. 2 inches

B. 3.5 inches

C. 4 inches

D. 4.5 inches

Mr. Johnson noted that 3/8 of the students at his school were in the band. He also noted that ½ of

the students in the band were girls. What fractional part of the students at the school were

girls in the band?

3/1

6 1

/4 3

/8 3

/4

25% 25%25%25%

A. 3/16

B. 1/4

C. 3/8

D. 3/4

What is the value of x that makes the equation below true?

2x – 3 = 11

48.

52.

5 7

25% 25%25%25%

A. 4

B. 8.5

C. 2.5

D. 7

What is the value of the expression below when x = 3 and y = 5?

2x2 + 3y

33 27 51 53

25% 25%25%25%

A. 33

B. 27

C. 51

D. 53

Tuan answered 20 customer service calls in 3 hours. At this rate, how many customer

service calls can Tuan answer in 7.5 hours?

45 50 60 80

25% 25%25%25%A. 45

B. 50

C. 60

D. 80

Based on the angle measures in the diagram, what is the value of x?

70 80 120

150

25% 25%25%25%

A. 70

B. 80

C. 120

D. 150

100%

A. A

B. B

C. C

D. D

In Jo’s school, there is a positive correlation between the grade level and the weight of the math textbook used by each grade. Which of the following scatterplots best represents this correlation?

25% 25%25%25%

A. A

B. B

C. C

D. D

What is the slope of the line represented by the equation below?

Y = ½ x + 3

1/3

1/2 2 3

25% 25%25%25%

A. 1/3

B. 1/2

C. 2

D. 3

Ruben surveyed 180 students in his school to find each student’s favorite winter sport. He recorded his results in the circle graph below. What is the total number of students whose favorite sport was either snowboarding or snow skiing?

25% 25%25%25%

A. 117

B. 115

C. 90

D. 65

Jaime used 5 ½ tablespoons of lemonade mix to make 2 quarts of lemonade. At this

rate, what is the total number of tablespoons of lemonade mix that Jaime will use to make

3 quarts of lemonade?

6 ½

8 ¼

10

½

16

¼

25% 25%25%25%

A. 6 ½

B. 8 ¼

C. 10 ½

D. 16 ¼

Andrea went to an amusement park. The cost of admission was $5.The cost for each ride was $0.75. Write an equation to show C, Andrea’s total cost to go to the amusement park and go on r rides.

C =

(5+0.

75) r

C =

5r +

0.7

5

C =

5 +

0.7

5r

C =

5 +

0.7

5(r -

1)

25% 25%25%25%

A. C = (5+0.75) r

B. C = 5r + 0.75

C. C = 5 + 0.75r

D. C = 5 + 0.75(r - 1)

Ms. Simmons made the box-and-whisker plot below to show some statistics about the ages of the students in her class at a community college.

Which of the following best represents the median age of the students in her class?

25 27 29 31

25% 25%25%25%

A. 25

B. 27

C. 29

D. 31

The directions for using a concentrated cleaning product say to add 3 capfuls of the product for

every 2 quarts of water used. Which of the following equations can be used to calculate c, the

number of capfuls of the product needed for 5 quarts of water?

53

2 c

2/3

= c

/ 5

2/3

= c

/ 7

3/2

= c

/ 5

3/2

= c

/ 7

25% 25%25%25%

A. 2/3 = c / 5

B. 2/3 = c / 7

C. 3/2 = c / 5

D. 3/2 = c / 7

Tara wrote a set of three numbers. The mean of her set is 8. The range of her set is 14. Which of the following could be Tara’s

set of numbers?

100%

A. 2, 8, 14

B. 4, 6, 18

C. 2, 6, 16

D. 6, 8, 10

Tara wrote a set of three numbers. The mean of her set is 8. The range of her set is 14. Which of the following could be Tara’s

set of numbers?

2, 8

, 14

4, 6

, 18

2, 6

, 16

6, 8

, 10

25% 25%25%25%

A. 2, 8, 14

B. 4, 6, 18

C. 2, 6, 16

D. 6, 8, 10

Franco has a bag with four letter tiles in it. All of the tiles are the same size and shape, as shown below. Franco will select a tile at random, record the letter, and put the tile back. If he does this two times, what is the probability that Franco will select a T and then a B?

1/1

6

1/1

2 1

/4

1/2

25% 25%25%25%

A. 1/16

B. 1/12

C. 1/4

D. 1/2

Amanda rents space at an outdoor market. Each month she pays the owner of the outdoor market $79 plus 10 percent of s, her total monthly sales. Which of the following expressions represents the

total amount of money that Amanda pays the owner for one month?

79(

0.1s

)

79s

÷ 0

.1

79s

+ 0

.1

79

+ 0.

1s

25% 25%25%25%

A. 79(0.1s)

B. 79s ÷ 0.1

C. 79s + 0.1

D. 79 + 0.1s

The chart below shows the low temperatures, in degrees Fahrenheit, outside Maya’s house for a seven-day period in December. What is the median of the temperatures in the chart?

5°F

6

°F 7

°F

8°F

25% 25%25%25%

A. 5°F

B. 6°F

C. 7°F

D. 8°F

The tail of a comet can be up to 45,100,000 kilometers long. What is 45,100,000 written

in scientific notation?

4.5

1 x

108

4.5

1 x

107

4.5

1 x

106

4.5

1 x

105

25% 25%25%25%

A. 4.51 x 108

B. 4.51 x 107

C. 4.51 x 106

D. 4.51 x 105

Angela shaded a figure on a coordinate plane, as shown below. If she reflects the figure over the x=y line, in which quadrant will the image be drawn?

I II III

IV

25% 25%25%25%

A. I

B. II

C. III

D. IV

Which of the following has the greatest value?

Ente

r ans

wer

text

...

100%A. │10│

B. │12│

C. │-14│

D. │-8│

Carly made 21 out of 83 shots while practicing basketball. Which of the following

is closest to the percentage of shots that Carly made?

20%

25%

30%

40%

25% 25%25%25%

A. 20%

B. 25%

C. 30%

D. 40%

Heather asked her classmates if they went to a movie, a play, a concert, or any combination of those events during the last month. The Venn

diagram below represents her data. What is the total number of Heather’s classmates who went to a concert during the last month?

3 4 5 6

25% 25%25%25%A. 3

B. 4

C. 5

D. 6

Steven has one bag that contains three table-tennis balls numbered 1, 2, and 3. He also has a second bag that contains four table-tennis balls lettered A, B, C, and D. When Steven randomly selects one ball from each bag, what is the probability that he will select a table-tennis ball with a 1 on it and also a table-tennis ball with a B on it?

1/1

2 1

/7 7

/12

3/4

25% 25%25%25%A. 1/12

B. 1/7

C. 7/12

D. 3/4

The stem-and-leaf plot below shows the ages, in years, of people who attended the mayor’s speech yesterday. What is the total number of people younger than 30 years who attended the speech?

10 14 15 23

25% 25%25%25%A. 10

B. 14

C. 15

D. 23

The principal of Washington Middle School surveyed students to determine how they got home from school on Monday. Of the students surveyed, 63 students said they walked home from school on Monday. What was the total number of students surveyed?

189

210 63 30

0

25% 25%25%25%A. 189B. 210C. 63D. 300

Mary’s chores include taking out the trash every third day and washing the dishes

every fourth day. She took out the trash and washed the dishes on February 7. Based

on Mary’s schedule for doing chores, what is the next date that she will do both chores on

the same day?

Feb

ruar

y 10

Feb

ruar

y 12

Feb

ruar

y 14

Feb

ruar

y 19

25% 25%25%25%

A. February 10

B. February 12

C. February 14

D. February 19

In her pocket, Sheena has one state quarter for each of the states listed below:Massachusetts, Connecticut, New York, and Vermont. She randomly selects a quarter and returns it to her pocket. Then she does this a second time. Then she does this a third time.What is the probability that Sheena will select the Massachusetts quarter both times?

1/2

1/3

1/4

1/8

25% 25%25%25%

A. 1/2

B. 1/3

C. 1/4

D. 1/8

The line plot below shows the number of books individual customers bought at a bookstore one

day. What was the total number of customers who bought more than 3 books?

4 6 7 10

25% 25%25%25%

A. 4 B. 6 C. 7D. 10

Which of the following figures appears to have both line symmetry and rotational symmetry?

25% 25%25%25%

A. A

B. B

C. C

D. D

Which of the following numbers best represents the location of point P on the

number line below?

1/3

2/3

7

/9

7/1

2

25% 25%25%25%

Which of the following numbers best represents the location of point P on the

number line below?

1/3

2/3

7/9

7/1

2

25% 25%25%25%

A. 1/3B. 2/3C. 7/9D. 7/12

The inequality −4x + 5 < 37 can be simplified to:

x >

8

x <

8

25% 25%25%25%

A. x > 8

B. x < 8

C. x > − 8

D. x < − 8

Should we do more reviews with Turning Point?

Yes N

o

May

be

Not s

ure

25% 25%25%25%A. Yes

B. No

C. Maybe

D. Not sure