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Worksheets

December Mock Review

Total questions: 150

Worksheet time: 7hrs 23mins

Name
Class
Date
1.
a)

Table 1

b)

Table 2

2.
a)

Table 1

b)

Table 2

3.
a)

Table 1

b)

Table 2

4.
a)

Table 1

b)

Table 2

5.

Which missing numbers make the follwoing expressions equivalent?

8(3x - 5) and ____x- ______

a)

24; 40

b)

16; 5

c)

24; 5

d)

3; 40

6.

Which expression is equivalent to 6(7x - 9)?

a)

42x + 54

b)

42x - 9

c)

42x - 54

d)

54x - 9

7.

What is the value of the expression shown? 245224-5^2  

(a)  

8.

Which TWO expressions are equivalent to 4(3+5)3×924\left(3+5\right)-3\times9^2  ? 

a)

29 x 81

b)

17(27)217-\left(27\right)^2  

c)

12+205412+20-54  

d)

4(8) - 3 x 81

9.

Which expression is NOT equivalent to (30+6)÷12\left(30+6\right)\div12  ?

a)

(3×3×2×2)(3×2×2)\frac{\left(3\times3\times2\times2\right)}{\left(3\times2\times2\right)}  

b)

36(3×4)\frac{36}{\left(3\times4\right)}  

c)

5×6+2×33×2×2\frac{5\times6+2\times3}{3\times2\times2}  

d)

(3×2×6)12\frac{\left(3\times2\times6\right)}{12}  

10.

What number completes the prime factorization of 90? 2×32×?2\times3^2\times?  

a)

5

b)

8

c)

7

d)

9

11.

Which expression is equivalent to 16 + 2 x 36?

a)

24+23×322^4+2^3\times3^2  

b)

23+23×322^3+2^3\times3^2  

c)

24+22×322^4+2^2\times3^2  

d)

23+22×332^3+2^2\times3^3  

12.

What value is equivalent to 3423×(52)603^4-2^3\times\left(5-2\right)-60  ?

a)

-3

b)

-66

c)

159

d)

-21

13.

Which expression is equivalent to (6p)+3\left(6\cdot p\right)+3  ?

a)

3(6p)3-\left(6\cdot p\right)  

b)

3+(p6)3+\left(p\cdot6\right)  

c)

6+3p6+3\cdot p  

d)

6(p+3)6\left(p+3\right)  

14.

A baby weighed 7.25 lb at birth. At the end of 8 months, the baby weighed 2.5 times its birth weight. How many pounds did the baby weigh at the end of 8 months?

a)

14.5 lb

b)

9.75 lb

c)

18.125 lb

d)

14.125 lb

15.

A recipe for cookies requires 2/3 cup of butter. Rama wants to make 3/4 of the recipe. How many cups of butter should Rama use to make the cookies?

a)

1 5/12 c

b)

8/9 c

c)

1/12 c

d)

1/2 c

16.

A grocery store sells steak for $6.10 per pound. What would be the cost of 2 and 3/5 lb of steak?

a)

$14.03

b)

$8.70

c)

$15.86

d)

$12.06

17.

Which two expressions are equivalent?

a)

(10 - 6) ÷ y and 10 - (6 ÷ y)

b)

4 + (3 ⋅ y) and (4 + 3) ⋅ y

c)

(18 ÷ y) + 10 and 10 + (y ÷ 18)

d)

12 - (y ⋅ 2) and 12 - (2 ⋅ y)

18.

Charlie used 30% of his savings to buy video games. If he had $250 in his savings, how much did he use on video games?

a)

$100

b)

$60

c)

$30

d)

$75

19.

At an animal shelter, 12% of the cats are Siamese. If there are 75 cats at the shelter, how many are Siamese?

a)

9

b)

12

c)

54

d)

63

20.

Mario earned $22.50 for babysitting his younger siblings for 3 hours. Ramona earned $30 for babysitting her younger siblings for 2 hours. Which statement is true?

a)

Ramona earned $8.50 more per hour than Mario.

b)

Mario earned $7.50 more per hour than Ramona.

c)

Ramona earned exactly twice as much per hour as Mario.

d)

Mario earned exactly twice as much per hour as Ramona.

21.

Ms. Chavez bought 20 eggs at a market. She will use 30% of these eggs to make cookies. How many eggs will Ms. Chavez use to make cookies?

a)

6

b)

8

c)

5

d)

3

22.

53 \frac{5}{3}\  is ______ than one.

a)

less

b)

equal

c)

greater

23.

1212\frac{12}{12}  is ______ to/than one.

a)

less

b)

greater

c)

equal

24.

1215\frac{12}{15}  is ______one

a)

greater

b)

less

c)

equal

25.

True or False: When multiplying 34\frac{3}{4}  and 5, the product will be greater than 5.

a)

true

b)

false, it will be less than 5

26.

When multiplying 1211\frac{12}{11}  and 8, the product will be _____ than 8.

a)

less

b)

greater

c)

equal

27.

Charlie determined that the product of 2 182\ \frac{1}{8}  x 3 would be greater than 3. Is Charlie correct?

a)

No, because Charlie is multiplying 3 by a fraction.

b)

No, because Charlie is multiplying 3 by a number greater than one.

c)

Yes, because Charlie is multiplying 3 by a fraction.

d)

Yes, because Charlie is multiplying 3 by a number greater than one.

28.

a)

L

b)

M

c)

N

d)

P

29.

a)

A

b)

B

c)

C

d)

D

30.
The coordinate plane is divided by a horizontal number line called what? 
a)
y-axis
b)
origin
c)
x-axis
d)
quadrant
31.
The vertical number line in the coordinate plane is called what? 
a)
y-axis
b)
origin
c)
quadrant
d)
x-axis
32.
Which letter represents the first number in an ordered pair? 
a)
X
b)
Y
c)
T
d)
G
33.
The coordinates for the origin in the coordinate plane are________?
a)
(1,1)
b)
(0,0)
c)
(0,1)
d)
(1,0)
34.
How do you correctly write an ordered pair?
a)
(y,x)
b)
(x,y)
c)
(0,0)
d)
(yy,x)
35.

The distance from Aria's home to the science museum is 0.72 mile. Which fraction is equivalent to this distance in miles?

a)

18/25 mi

b)

9/25 mi

c)

9/50 mi

d)

36/5 mi

36.

During basketball games this year, Melissa made 11/20 of her foul shots. How is 11/20 written as a decimal?

a)

2.20

b)

5.5

c)

0.55

d)

Not here

37.

A quart of milk contained 2% fat. What fraction represents 2%?

a)

1/50

b)

1/25

c)

1/5

d)

Not here

38.

Riley has visited 3/8 of the national parks in the United States. What percentage is equivalent to the fraction of national parks he has visited?

a)

25%

b)

40%

c)

37.5%

d)

12.5%

39.

This year, the town of Milton received 1.5 times as much rainfall as last year. Which of the following is equivalent to 1.5?

a)

3/4

b)

150%

c)

14%

d)

5/4

40.

At Blue Mountain Park, 28% of the visitors are from out of state. Which value represents 28%?

a)

3/10

b)

2.8

c)

7/25

d)

0.14

41.

Pedro answered 20 out of 25 questions on a test correctly. What fraction of the questions did Pedro answer correctly?

a)

2/25

b)

7/10

c)

3/5

d)

4/5

42.

Convert.

7 feet = ___ inches

a)
144 inches
b)
49 inches
c)
84 inches
d)
19 inches
43.
Convert:
3 lb = ____ oz
a)
36
b)
48
c)
6
d)
12
44.

Ms. Kandler went to buy curtains. She sees curtains that are 96 inches long. How long are the curtains in feet?

a)

12 feet

b)

8 feet

c)

1,152 ft

d)

84 ft

45.

Ms. Hawke has 3 pints of chicken stock. How many cups of chicken stock does she have?

a)

24 cups

b)

6 cups

c)

12 cups

d)

8 cups

46.

Solve the proportion:

27=c28\frac{2}{7}=\frac{c}{28}  

a)

c = 4

b)

c = 8

c)

c = 14

d)

c = 10

47.

Solve for x:

25=x65\frac{2}{5}=\frac{x}{65}  

a)
x = 16
b)
x = 28
c)
x = 1/26
d)
x = 26
48.

Solve the proportion.

k6=1518\frac{k}{6}=\frac{15}{18}  

a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
49.

Are the ratios in proportion?

16=530\frac{1}{6}=\frac{5}{30}  

a)

Yes, this is true

b)

No, this is not true

c)

I cannot answer the equation from the information given

50.
6 in = ___ ft
a)
1/2
b)
21
c)
1/4
51.

Which step will come first in the following expression?

6 x 7 + (9 - 3) + 2

a)

6 x 7

b)

7 + 9

c)

9 - 3

d)

3 + 2

52.

What is the absolute value of |-26| ?

a)

26

b)

-26

c)

-36

d)

36

53.

l-4l =

a)

-4

b)

0

c)

4

d)

-0

54.

Opposite have the same distance from _____?

a)

5

b)

8

c)

0

d)

-2

55.

Which sets would the number 1.2 fit in the Venn diagram?

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

56.

Where would the number 2122\frac{1}{2}   fit in the Venn diagram

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

57.

Where would the number -3 fit in the Venn diagram?

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

58.

Where would the number 0 fit in the Venn diagram?

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

59.

Where would the number 0.99 fit in the Venn diagram?

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

60.

The graph shows the number of points y, a player earns in a video game based on the number of diamonds the player collects, x.


Which equation best represents the relationship between x and y?

a)

x = y + 75

b)

y = x + 75

c)

y = 75x

d)

x = 75y

61.
a)

A

b)

B

c)

C

d)

D

62.
a)

A

b)

B

c)

C

d)

D

63.

During the baseball season, Dylan got a hit 40% of his times at bat. How is 40% written as a decimal?

a)

0.40

b)

0.04

c)

4.00

d)

0.004

64.

The distance from Aria's home to the science museum is 0.72 mile. Which fraction is equivalent to this distance in miles?

a)

18/25 mi

b)

9/25 mi

c)

9/50 mi

d)

36/5 mi

65.

During basketball games this year, Melissa made 11/20 of her foul shots. How is 11/20 written as a decimal?

a)

2.20

b)

5.5

c)

0.55

d)

Not here

66.

A quart of milk contained 2% fat. What fraction represents 2%?

a)

1/50

b)

1/25

c)

1/5

d)

Not here

67.

Riley has visited 3/8 of the national parks in the United States. What percentage is equivalent to the fraction of national parks he has visited?

a)

25%

b)

40%

c)

37.5%

d)

12.5%

68.

This year, the town of Milton received 1.5 times as much rainfall as last year. Which of the following is equivalent to 1.5?

a)

3/4

b)

150%

c)

14%

d)

5/4

69.

A soccer team won 6 of its 16 games. What decimal is equivalent to the fraction of games that the team won?

a)

0.4

b)

0.25

c)

0.5

d)

0.375

70.

At Blue Mountain Park, 28% of the visitors are from out of state. Which value represents 28%?

a)

3/10

b)

2.8

c)

7/25

d)

0.14

71.

Greater Than >

a)

Open

b)

Closed

72.

Less Than or Equal To \le  

a)

Open

b)

Closed

73.

Less Than <

a)

Open

b)

Closed

74.

Greater Than or Equal To \ge  

a)

Open

b)

Closed

75.

Greater Than or Equal To \ge  

a)

Open

b)

Closed

76.

What does the inequality sign mean?

a)

greater than

b)

less than

c)

greater than or equal to

d)

less than or equal to

77.

What does the inequality sign mean?

a)

greater than

b)

less than

c)

greater than or equal to

d)

less than or equal to

78.

x is at most 13

a)

x ≥ 13

b)

x ≤ 13

c)

x > 13

d)

x < 13

79.

x is more than 16

a)

x < 16

b)

x > 16

c)

x ≤ 16

d)

x ≥ 16

80.

x is at least 45

a)

x < 45

b)

x > 45

c)

x ≤ 45

d)

x ≥ 45

81.

Which symbols will have a closed circle? (Select all that apply.)

a)
b)
c)
d)
82.

Which symbols will have an open circle? (Select all that apply.)

a)
b)
c)
d)
83.

Which symbols will shade to the left? (Select all that apply.)

a)
b)
c)
d)
84.

Which symbols will shade to the right? (Select all that apply.)

a)
b)
c)
d)
85.

x is at most 13

a)

x ≥ 13

b)

x ≤ 13

c)

x > 13

d)

x < 13

86.

x is a maximum of 4

a)

x < 4

b)

x > 4

c)

x ≤ 4

d)

x ≥ 4

87.

x is no more than 8

a)

x ≤ 8

b)

x ≥ 8

c)

x < 8

d)

x > 8

88.

x is a minimum of $30

a)

x < 30

b)

x > 30

c)

x ≤ 30

d)

x ≥ 30

89.

x is less than -3

a)

x < -3

b)

x > -3

c)

x ≤ -3

d)

x ≥ -3

90.

x is more than 16

a)

x < 16

b)

x > 16

c)

x ≤ 16

d)

x ≥ 16

91.

x is at least 45

a)

x < 45

b)

x > 45

c)

x ≤ 45

d)

x ≥ 45

92.

x is greater than or equal to 2

a)

x < 2

b)

x > 2

c)

x ≤ 2

d)

x ≥ 2

93.

x is less than or equal to 6

a)

x < 6

b)

x > 6

c)

x ≤ 6

d)

x ≥ 6

94.

x is no less than 7

a)

x < 7

b)

x > 7

c)

x ≤ 7

d)

x ≥ 7

95.

x is greater than 8

a)

x > 8

b)

x < 8

c)

x 8\le8

d)

x 8\ge8

96.

x is fewer than 9

a)

x < 9

b)

x > 9

c)

x  9x\ \le\ 9  

d)

x  9\ge\ 9

97.
a)

He burned 1,200 calories per hour while swimming, because 600 × = 2 1,200.

b)

He burned a total of 3,000 calories, because (11 × + 120) (9 × + 120) 600 = 3,000

c)

He burned 1,080 calories per hour while jogging, because 9 × = 120 1,080.

d)

He burned a total of 74,400 calories, because (11 × + 120) (9 × + 120) (600 × 120) = 74,400.

98.

Solve:   45÷2 = Solve:\ \ \ \frac{4}{5}\div2\ =\  

a)

85\frac{8}{5}  

b)

104\frac{10}{4}  

c)

25\frac{2}{5}  

d)

810\frac{8}{10}  

99.
What is the quotient of these fractions in lowest terms?
a)
6/40
b)
6/10
c)
3/5
d)
12/20
100.

Find the reciprocal of 711\frac{7}{11}  

a)

1 17\frac{1}{7}  

b)

1111\frac{11}{11}  

c)

117\frac{11}{7}  

d)

77\frac{7}{7}  

101.

What are the three steps to dividing fractions?

a)

keep, flip, change

b)

change, flip, keep

c)

keep, change, flip

102.

67÷3\frac{6}{7}\div3  

a)

27\frac{2}{7}  

b)

72\frac{7}{2}  

c)

187\frac{18}{7}  

d)

718\frac{7}{18}  

103.
Divide. 8 ÷ 1/3
a)
24
b)
2  2/3
c)
3/8
d)
1/24
104.

5÷155\div\frac{1}{5}  

a)

525\frac{5}{25}  

b)

25

c)

1

d)

15\frac{1}{5}  

105.

Find the area of the parallelogram.

a)

56cm2

b)

28cm2

c)

32cm2

d)

16cm

106.
Find the area.
a)
55 square feet
b)
60 square feet
c)
16 square feet
d)
28 square feet
107.
When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...
a)
Positive
b)
Negative
c)
Depends on which is bigger.
108.
When multiplying or dividing a NEGATIVE and NEGATIVE number your result will be...
a)
POSITIVE
b)
NEGATIVE
c)
DEPENDS ON WHICH NUMBER IS LARGER.
109.
Eleni withdrew $45 from her savings account.  She then used her debit card to buy groceries for $30.15.  What was the total amount Eleni took out of her account?
a)
$75.15
b)
$14.85
c)
$15.85
d)
$75
110.

Which expression has a value of -22?

a)

-5 ⋅2 -12

b)

8 -( -3) + 33 ÷ (- 3)

c)

-3 + (-2) - ( -8) - 1

d)

-6 ⋅ 2 -(- 15)

111.

a)

A

b)

B

c)

C

d)

D

112.

Simplify the expression by using the Distributive Property:


3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

113.

Simplify the expression by using the Distributive Property:


9(5c + 4)?

a)

45c + 36

b)

81c

c)

45c + 4

d)

49c

114.

Simplify the expression by using the Distributive Property:


8(4b - 5)

a)

32b + 40

b)

32b - 40

c)

32(b - 40)

d)

84b - 85

115.

Simplify the expression by using the Distributive Property:


8(4b - 5)

a)

32b + 40

b)

32b - 40

c)

32(b - 40)

d)

84b - 85

116.

Find the area of the triangle

a)

12 in2

b)

12 in2

c)

24 in2

d)

6 in2

117.
Find the area?
a)
15 in²
b)
30 in²
c)
15 in
d)
 30 in
118.

Juan read 300 pages in 5 days. Which reading rate is equivalent?

a)

150 pages in 3 days

b)

120 pages in 2 days

c)

105 pages in 1 day

d)

100 pages in 3 days

119.

At a summer camp, there are 50 girls out of 80 campers. What is this ratio written as a fraction in simplest form?

a)

8/10

b)

1/2

c)

5/8

d)

3/8

120.
Which ratio is written incorrectly?
a)
X : Y
b)
X and Y
c)
X/Y
d)
X to Y
121.

A ratio comparing two different quantities?

a)

Unit Rate

b)

Ratio

c)

Rate

d)

Expression

122.

A rate where the denominator is 1.

a)

Fraction

b)

Rate

c)

Unit Rate

d)

Ratio

123.

Which of the following is NOT a unit rate?

a)

2 cars

1 lane

b)

45 miles per hour

c)

27 sandwiches in 3 weeks

d)

2 tanks of gas

1 yard

124.

Which of the following is NOT a unit rate?

a)

4 dogs

1 yard

b)

0.3 miles

1 minute

c)

1 minute

3 feet

d)

0.75 hour

1 game

125.
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a)
$8 per pound
b)
$5 per pound
c)
$35 per pound
d)
0.125 pounds per dollar
126.
If Justin can type 408 words in 4 minutes, how many words can he type per minute?
a)
102 words per minute
b)
100 words per minute
c)
400 words per minute
d)
412 words per minute
127.

Convert the fraction into a decimal: 1/4

a)

.25

b)

1.4

c)

.5

d)

4.1

128.

Convert the fraction into a decimal: 2/5

a)

.25

b)

.40

c)

2.5

d)

5.2

129.

Convert the fraction into a decimal: 1/10

a)

.10

b)

1.0

c)

10.0

d)

.01

130.

Convert the fraction into a decimal: 4/5

a)

.45

b)

5.4

c)

.80

d)

4.5

131.

Convert 25\frac{2}{5}  to a decimal

a)

0.5

b)

0.2

c)

0.4

d)

0.10

132.

Which point on the number line best represents -1.2?

a)

A

b)

B

c)

C

d)

D

e)

E

133.
a)

4/5

b)

3/4

c)

3/1

d)

1/3

134.

Multiply the denominator and the numerator by the same factor

a)

Scaling Up

b)

Proportions

c)

Ratio

d)

Scaling Down

135.

Divide the denominator and the numerator by the same factor

a)

Proportions

b)

Scaling Down

c)

Ratio

d)

Scaling Up

136.
Find the value of 23
a)
2
b)
4
c)
6
d)
8
137.
True or false:
Addition ALWAYS comes before subtraction.
a)
True
b)
False
138.
What does 32 mean?
a)
3 x 2
b)
3 x 3
c)
2 x 2 x 2
139.

When multiplying and dividing (for example, 4 x 5 / 2), how do you know which step to do first?

a)

Always multiply

b)

Always divide

c)

Whichever comes first reading left to right

d)

Whatever I feel like doing first

140.
Three times a number increased by nine
a)
3h-9
b)
3(h-9)
c)
3(h+9)
d)
3h+9
141.

Which child is shorter than Ellis?

(a)  

142.

Who is the tallest?

(a)  

143.

Which children are taller than 35.5 inches?

(a)  

144.

Order the children from shortest to tallest.

(a)  

145.

Over the year, the water level of various lakes rose by the amounts listed. Which list represents the numbers in order from least to greatest?

a)

7%, 112, 18%, 1257\%,\ \frac{1}{12},\ 18\%,\ \frac{1}{25}  

b)

125, 7%, 112, 18%\frac{1}{25},\ 7\%,\ \frac{1}{12},\ 18\%  

c)

125, 7%, 18%, 112\frac{1}{25},\ 7\%,\ 18\%,\ \frac{1}{12}  

d)

112, 7%, 18%, 125\frac{1}{12},\ 7\%,\ 18\%,\ \frac{1}{25}  

146.

Which value represents a percentage between 11% and 17%?

a)

F.

b)

G.

c)

H.

d)

J.

147.

Which list shows the amounts of homework completed in order from greatest to least?

a)

A.

b)

B.

c)

C.

d)

D.

148.

( - 12) + ( - 43) + 38 =

(a)  

149.

280 - ( - 105) =

(a)  

150.

( - 28)  ×\times   ( - 8 )



(a)