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Worksheets

mixed review 1

Total questions: 56

Worksheet time: 5hrs 40mins

Name
Class
Date
1.
Which list of numbers is in order from least to greatest?
a)
A √23, 5, 6, 43%
b)
B 5, √23, 6, 43%
c)
C 43%, 5, √23, 6
d)
D 43%, √23, 5, 6
2.
List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...
a)
-64 , 3.5 , √27 , 6.666...
b)
3.5 , √27 , 6.666..., -64
c)
3.5, -64, √27, 6.666...
d)
6.666, √27, -64, 3.5
3.
Point B could represent which of the following numbers?
a)
√24
b)
√30
c)
√35
d)
√42
4.
How do you write
8.317 x 106
in standard form?
a)
8, 371, 000
b)
83, 170, 000
c)
837, 100
d)
8, 317, 000
5.
How would you write 0.0005 in scientific notation?
a)
50 x 105
b)
5 x 10-4
c)
5 x 10-3
d)
.5 x 103
6.
Which of the following is NOT a subset of the rational numbers?
a)
Integers
b)
Whole Numbers
c)
Perfect square integers
d)
Irrational numbers
7.
Which number is irrational?
a)
9.6
b)
√45
c)
3/8
d)
3.4 x 10 ⁵
8.
a)
A
b)
B
c)
C
d)
D
9.
a)
F
b)
G
c)
H
d)
J
10.
Which list shows the numbers in increasing order?
a)
-0.5,1.5,-2,-0.75,√7
b)
-0.5,-2,-0.75,1.5,√7
c)
-2,-0.75,-0.5,1.5,√7
d)
√7,1.5,-0.5,-0.75,-2
11.

a)

-4

b)

2/3

c)

6

d)

5/2

12.

1650, 921, 2526, 40\sqrt{1650},\ 9\sqrt{21},\ \frac{252}{6},\ 40  
Which of the following lists the numbers in order from GREATEST to LEAST?

a)

40, 1650, 921, 252640,\ \sqrt{1650},\ 9\sqrt{21},\ \frac{252}{6}  

b)

1650, 2526, 40, 921\sqrt{1650},\ \frac{252}{6},\ 40,\ 9\sqrt{21}  

c)

2526, 1650, 921, 40\frac{252}{6},\ \sqrt{1650},\ 9\sqrt{21},\ 40  

d)

2526, 921, 1650, 40\frac{252}{6},\ 9\sqrt{21},\ \sqrt{1650},\ 40  

13.

Jessica had $100 in her saving account when Ricky opened his with zero dollars.

Jessica deposits $25 each week into her account for x weeks.

Ricky deposits $85 each week into her account for x weeks.

Which inequality represents this situation when the amount of money in Jessica's account is greater than the amount of money in Ricky's account?

a)


25x < 125 + 85x25x\ <\ 125\ +\ 85x

b)

85x > 100 + 25x85x\ >\ 100\ +\ 25x

c)

85x < 125x85x\ <\ 125x

d)

85x < 100 + 25x85x\ <\ 100\ +\ 25x

14.

What is the solution to this equation?

2x + 3 = x - 4

(a)  

15.

Which situation can be represented by this equation?

340 + 5x = 650 - 8x

a)

Sierra started with a savings of $340 and spends $8 of her saving each week. Brian started with a savings of $650 and adds $5 to his saving each week. What is x, the number of weeks that need to pass in order for Sierra and Brian to have the same amount of money in their savings?

b)

Sierra started with 340 cans of food for a food drive. She collects 5 more cans every day. Brain started with 650 cans of the food drive. He collects 8 more cans every day. What is x, the number of days that need to pass for Sierra and Brian to have the same amount of cans?

c)

Sierra earns 345 points on each level of a video game. Brian earns 642 points on each level of the same video game. What is the number of levels that Sierra nd Brian would have to play in order for them to have the same number of points?

d)

Sierra has a bucket that originally contained 340 fl oz of water and is being filled at a rate of 5 fl oz per minute. Brian has a bucket that originally contained 650 fl oz of water and is being drained at a rate of 8 fl oz per minute. What is x, the number of minutes that need to pass in order for the two buckets to contain the same amount of water?

16.
a)

Answer A

b)

Answer B

c)

Answer C

d)

Answer D

17.

What value of x makes this equation true?

12x - 15 = 6 - 3x

a)

73\frac{7}{3}

b)

37\frac{3}{7}

c)

75\frac{7}{5}

d)

57\frac{5}{7}

18.

The two lines graphed on the coordinate grid each represent an equation.


Which ordered pair represents a solution to both equations?

a)

(-4, 0)

b)

(-3, 3)

c)

(3, -3)

d)

(0, 4)

19.

What is the solution to this equation?

10x + 8 = 6x + 25.2

(a)  

20.

What is the solution for the system of equations.

y = -x + 5

y = 2x - 7

a)

(0, 5)

b)

(0, -7)

c)

(4, 1)

d)

(5, -7)

21.

a)

A

b)

B

c)

C

d)

D

22.
a)

F

b)

G

c)

H

d)

J

23.
a)

F

b)

G

c)

H

d)

J

24.
a)

F

b)

G

c)

H

d)

J

25.



(a)  

26.



(a)  

27.

The measures of two angles are (9x + 36) and (18x – 18). What is the value of x if these angles are congruent?

(a)  

28.

The area of the school is 401,520,000 square feet. Which scientific notation is the equal?

a)

40152 × 10440152\ \times\ 10^4  

b)

40152 × 10−440152\ \times\ 10^{-4}  

c)

4.0152 × 1044.0152\ \times\ 10^4  

d)

4.0152 × 1084.0152\ \times\ 10^8  

29.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
30.

The scatterplot shows the low temperature and high temperature each day for a two-week period of time.

Based on the scatterplot, which is the best prediction of the high temperature in degrees Fahrenheit on a day when the low temperature is 71 °F? (SE: 8.5D)

a)

92 °F

b)

101 °F

c)

88 °F

d)

100 °F

31.

(SE: 8.5D)

a)

100 word per minute

b)

55 word per minute

c)

85 word per minute

d)

70 word per minute

32.

A math teacher observed that as the number of hours students studied their multiplication facts increased, the number of errors the students made on their multiplication tests decreased. Which scatterplot could support this teacher's observation? (SE: 8.11A)

a)
b)
c)
d)
33.

(SE: 8.11A)

a)

The scatterplot show no association between the hours of sleep and the hours of game playing.

b)

The scatterplot shows a negative linear association, the more people sleep the less they play games.

c)

The scatterplot shows a positive linear association, the more people sleep the more they play games.

d)

The scatterplot shows that the more people sleep the hours of game playing remains the same.

34.

(SE: 8.12D)

a)

A

b)

B

c)

C

d)

D

35.

A bank offers two different types of interest on savings accounts.

-Account 1 pays 6.5% simple interest.

-Account 2 pays 6% compound interest.

Deposits of $3000 are made into one account of each type. No additional deposits or withdrawals are made. What is the difference in interest earned in each account at the end of 5 years? (SE: 8.12D)

a)

975

b)

4014.68

c)

1014.68

d)

39.68

36.

(SE: 8.12D)

a)

A

b)

B

c)

C

d)

D

37.

Javon has a credit card with a $1,583 balance. His simple interest rate is 8.8%. If he does not pay for 3 years, how much interest does he owe? (SE: 8.12D)

a)

$4,179

b)

$417.91

c)

$133,930

d)

$41,791

38.

(SE: 8.12A)

a)

F

b)

G

c)

H

d)

J

39.

J3 needs a $15,500 loan in order to buy a truck.

Which loan option would allow him to pay the least amount of interest? (SE: 8.12A)

a)

An 18 -month loan with 2.75% simple interest

b)

An 30 -month loan with 5.00% simple interest

c)

An 24 -month loan with 2.25% simple interest

d)

An 36 -month loan with 5.50% simple interest

40.

Which is closest to the lateral surface area of a cylinder whose diameter is 18 centimeters and

whose height is 28 centimeters?

a)

1,580 cm2

b)

791 cm2

c)

254 cm2

d)

2,088 cm2

41.

What is the lateral surface area of the prism?

a)

299 square units

b)

309.5 square units

c)

320 square units

d)

Not Here

42.

What is the total surface area of the prism?

a)

90 m2

b)

31.2 m2

c)

121.2 m2

d)

105.6 m2

43.

What is the total surface area of a cube with an edge of 8 centimeters?

a)

64 square centimeters

b)

384 square centimeters

c)

512 square centimeters

d)

256 square centimeters

44.

What is the lateral surface area of a cube with an edge of 8 centimeters?

a)

64 square centimeters

b)

256 square centimeters

c)

512 square centimeters

d)

96 square centimeters

45.

Which of the following is closest to the length of the board?

a)

28 ft

b)

25 ft

c)

20 ft

d)

23 ft

46.

How far was the base of the tree from the pole?

a)

1 ft

b)

5 ft

c)

8 ft

d)

25 ft

47.

What is the length of the distance between the chair and the end table to the nearest tenth of a

foot?

a)

8.9 ft

b)

9.9 ft

c)

10.4 ft

d)

23.4 ft

48.

Which of the following could be the lengths of the sides of right triangle?

a)

6 ft, 5 ft, 8 ft

b)

10 ft, 24 ft, 26 ft

c)

12 ft, 4 ft, 13 ft

d)

14 ft, 18 ft, 24 ft

49.

The Post Office is 5 miles from Lucy’s home. What is the shortest distance Lucy can walk to return

home?

a)

12 miles

b)

13 miles

c)

14 miles

d)

17 miles

50.

A triangle has one leg of 32 inches and one leg of 18 inches. For the triangle to be a right triangle,

which best represents the length of the hypotenuse?

a)

34.2 inches

b)

36 inches

c)

41.8 inches

d)

36.7 inches

51.

Which figure can be placed along the segment labeled x millimeters to complete a model that

represents the Pythagorean Theorem?

a)
b)
c)
d)
52.

Which is closest to the volume of the container?

a)

113 in3

b)

340 in3

c)

250 in3

d)

226 in3

53.

A cylinder has a radius of 8 inches. The height of the cylinder is twice the radius. Which is closest

to the volume of the cylinder?

a)

3,200 cubic inches

b)

3,300 cubic inches

c)

800 cubic inches

d)

1,600 cubic inches

54.

The area of the base of a cylinder is 20 square inches. The volume of the cylinder is 150 cubic

inches. What is the height of the cylinder?

a)

7 inches

b)

8 inches

c)

7.25 inches

d)

7.5 inches

55.

Ms. King has two cylinder containers. Container 1 has a height of 9 inches and a radius of 4 inches.

Container 2 has a height of 11 inches and a radius of 3 inches. Which statement is true about the

volumes of the containers?

a)

Container 1 has a volume that is about 140 cubic inches more than the volume of Container 2.

b)

Container 1 has a volume that is about 140 cubic inches less than the volume of Container 2.

c)

Container 1 has a volume that is about 374 cubic inches more than the volume of Container 2.

d)

Container 1 has a volume that is about 374 cubic inches less than the volume of Container 2.

56.

A large ice cream cone has a radius of 1.5 inches and a height of 4 inches. Janie orders 1 dip of ice

cream that fills the top of the cone so that half of the sphere of ice cream is above the cone and

half is pushed into the cone.

a)

9 cubic inches

b)

14 cubic inches

c)

7 cubic inches

d)

2 cubic inches