Free Printable 7/8th Final Exam Semester 1 21-22

1.

Using a Factor Tree, find the prime factorization of 75.

a)

5² x 3

b)

5 x 5 x 3

c)

3² x 5

d)

15 x 5

2.

Create a factor tree and find the prime factorization for 80

a)

2⁴⋅5

b)

4²⋅5

c)

2⋅2⋅2

d)

8⋅5⋅2

3.

What is the Prime Factorization of 144?

a)

2⁴x 3²

b)

2²x 3⁴

c)

2⁴x 3⁴

d)

2² x 3 x 3²

4.

How do you write 2 x 2 x 2 x 2 with an exponent?

a)

4²

b)

2⁴

c)

2²

5.

Any number written to the 0 power is always 1
Example: 8⁰=1

a)

True

b)

False

6.

Find the equivalent expression.

9 x 9 x 9 x 9 x 9

a)

9⁵

b)

9¹⁵

c)

9 x 5

d)

9 + 9 + 9 + 9+ 9

7.

In the exponent 3⁴, the three represents____________ ?

a)

power

b)

base

c)

exponent

d)

integers

8.

2⁵ is the same as 2 x 5.

a)

True

b)

False

9.

Which is equivalent to 2⁴? No Calculator

a)

8

b)

20

c)

16

d)

12

10.

How would you represent 8⁶ ?

a)

8 x 6

b)

8 x 8 x 6

c)

8 x 8 x 8 x 8 x 8 x 8

d)

6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

11.

Which of the following is a PERFECT SQUARE

a)

121

b)

10

c)

150

d)

300

12.

Which of the following is NOT a PERFECT SQUARE

a)

25

b)

64

c)

149

d)

225

13.

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7

?

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

14.

What is 3³? No Calculator

a)

6

b)

9

c)

27

d)

54

15.

$10^2$ Identify the exponent

a)

10

b)

2

16.

What is (-6)⁴ No Calculator

a)

-1296

b)

1296

c)

24

d)

-24

17.

What is the value of 2⁵? No Calculator

a)

32

b)

16

c)

10

d)

8

18.

What is the 7¹? No Calculator

a)

1

b)

7

c)

0

d)

14

19.

What is the square root of 100? No Calculator

√100

a)

10

b)

200

c)

50

d)

1000

20.

Find the square root of √-144. No Calculator

a)

-12

b)

12

c)

no solution

d)

24

21.

No Calculator

a)

7/8

b)

7/4

c)

0.8

d)

7/6

22.

$n^2=289$ No Calculator

a)

15

b)

17

c)

14

d)

13

23.

$\sqrt{400}$ No Calculator

a)

20

b)

100

c)

4

d)

3

24.

Determine the value of this square root: No Calculator

\sqrt{\frac{9}{16}}

a)

$\frac{2}{3}$

b)

$\frac{3}{4}$

c)

$\frac{3}{5}$

d)

$\frac{81}{256}$

25.

Determine the value of this square root: No Calculator

\sqrt{0.25}

a)

0.05

b)

0.25

c)

0.5

d)

5

26.

Determine the value of this square root: No Calculator

\sqrt{1.69}

a)

1.3

b)

0.13

c)

13

d)

1.03

27.

What is the cube root of 1000? No Calculator

a)

10

b)

100

c)

500

d)

20

28.

What number, n, cubed is equal to 64? No Calculator

n³ = 64

a)

4

b)

2

c)

8

d)

262,144

29.

∛-1331 No Calculator

a)

21

b)

11

c)

No solution

d)

-11

30.

$n^2=\sqrt{\frac{121}{144}}$ No Calculator

a)

No solution

b)

21/11

c)

11/12

d)

121/144

31.

$\sqrt{25}$ Classify the set of numbers that the number belongs:

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

32.

$\sqrt{20}$ Classify the set of numbers that the number belongs:

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

33.

$\pi$

Classify the set of numbers that the number belongs:

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

34.

Classify the set of numbers that the number belongs: $\frac{15}{3}$

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

35.

Classify the set of numbers that the number belongs: $0$

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

36.

Classify the set of numbers that the number belongs: 6.313131313...

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

37.

Square roots of perfect squares are always _____ numbers.

a)

irrational

b)

rational

38.

Square roots of non - perfect squares are always _____ numbers.

a)

irrational

b)

rational

39.

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

40.

List in order from least to greatest.
5/4, 56%, 1.07, 4/5

a)

^{5/4, 56%, 1.07, 4/5}

b)

^{1.07, 4/5, 5/4, 56%}

c)

^{56%, 1.07, 4/5, 5/4}

d)

^{56%, 4/5, 1.07, 5/4}

41.

Order the following from greatest to least:

0.35, ⅜, 42%, ⅘, 0.2

a)

⅘, 42%, ⅜, 0.35, 0.2

b)

⅜, 42%, ⅘, 0.2, 0.35

c)

⅘, 0.35, ⅜, 42%, 0.2

d)

0.2, 0.35, ⅜, 42% ⅘,

42.

Put in the symbol to make the statement true...
-17.5 _________ -√121

a)

>

b)

<

c)

=

43.

Compare.

√52 or 6.9

a)

<

b)

>

c)

=

44.

Choose the sign that will make the statement true.
√50 ____ 700%

a)

<

b)

>

c)

=

45.

Choose the sign that will make the statement true.
-√37 ____ ^-23/₄

a)

<

b)

>

c)

=

46.

Convert 8 inches to cm, if 1 inch equals 2.54 cm.

a)

20.32 cm

b)

3.15 cm

c)

80 cm

d)

96 cm

47.

21 ounces equals how many grams, if 1 ounce equals 28.3 grams

a)

500 grams

b)

594.3 grams

c)

610 grams

d)

59.3 grams

48.

13 yards equals how many meters, if 1 yard equals 0.91 meters?

a)

13 meters

b)

9.8 meters

c)

11.83 meters

d)

3 meters

49.

14 pounds equals ______ kilograms?
(1kg = 2.2lb)

a)

6.8 kg

b)

6.36 kg

c)

198 kg

d)

0.63 kg

50.

Approximately how many meters are equivalent to 15 ft, if 1 foot = 0.3 meters?

a)

8 m

b)

7 m

c)

5 m

d)

4 m

51.

⁴⁄₅× ¹⁰⁄₁₂=

No calculator

a)

⁴⁰⁄₅₀

b)

¹⁄₃

c)

⁵⁰⁄₄₈

d)

²⁄₃

52.

4¹⁄₂× 3²⁄₃=

No calculator

a)

12¹⁄₂

b)

³³⁄₂

c)

¹⁄₃

d)

16

53.

³⁄₄÷ ¹⁄₂=

No calculator

a)

³⁄₂

b)

⁶⁄₈

c)

³⁄₈

d)

¹⁄₂

54.

²⁄₅÷ ²⁄₅=

No calculator

a)

⁴⁄₁₀

b)

²⁄₅

c)

1

d)

5

55.

³⁄₄÷ 4¹⁄₂ =

No calculator

a)

²⁷⁄₈

b)

³⁶⁄₆

c)

¹⁄₆

d)

6

56.

³⁄₇÷ ²⁄₅=

No calculator

a)

⁶⁄₃₅

b)

¹⁵⁄₁₄

c)

¹⁴⁄₁₅

d)

¹⁄₇

57.

Multiply these fractions. No calculator

a)

10 / 15

b)

15 / 10

c)

2 / 3

d)

50 / 3

58.

$\frac{1}{4}\div5$ No calculator

a)

$\frac{1}{20}$

b)

$\frac{1}{9}$

c)

$\frac{5}{20}$

d)

$\frac{1}{4}$

59.

$\frac{8}{3}\times\frac{2}{12}$ No calculator

a)

$\frac{10}{36}$

b)

$\frac{16}{15}$

c)

$\frac{112}{36}$

d)

$\frac{4}{9}$

60.

$\frac{3}{5}\times10$ No calculator

a)

$6$

b)

$9$

c)

$2$

d)

$30$

61.

1\ \frac{2}{3}\div2\ \frac{1}{3}

No calculator

a)

$3\ \frac{8}{9}$

b)

$2\ \frac{2}{9}$

c)

$\frac{5}{7}$

d)

$\frac{4}{5}$

62.

1\ \frac{2}{3}\times2\ \frac{1}{3}

No calculator

a)

$\frac{35}{9}\ or\ \ 3\ \frac{8}{9}$

b)

$2\ \frac{2}{9}$

c)

$3\ \frac{2}{9}$

d)

$3\ \frac{4}{7}$

63.

What must you have to add and subtract fractions?

a)

Common numerators

b)

Different numerators

c)

Different denominators

d)

Common denominators

64.

8/9 - 1/3 = No calculator

a)

7/6

b)

5/9

c)

2/3

d)

8/27

65.

1/3 + 5/12 No calculator

a)

6/12

b)

6/15

c)

3/4

d)

4/4

66.

What is the difference? No calculator

a)

$\frac{13}{24}$

b)

$\frac{5}{24}$

c)

$\frac{12}{48}$

d)

$\frac{6}{5}$

67.

$\frac{4}{7}+\frac{1}{3}=$ No calculator

a)

$\frac{17}{21}$

b)

$\frac{19}{21}$

c)

$\frac{5}{10}$

d)

$\frac{5}{21}$

68.

No calculator

a)

11/4

b)

2 8/9

c)

7/2

d)

5 1/2

69.

Reduce the following fraction:
25/55

a)

2.5/5.5

b)

1/3

c)

5/11

d)

3/5

70.

24/64

a)

3/8

b)

2/5

c)

2/7

d)

5/7

71.

Simplify 70/80 to lowest terms.

a)

35/40

b)

7/8

c)

9/10

d)

14/16

72.

Reduce 21/56 to lowest terms.

a)

7/8

b)

3/8

c)

5/13

d)

10/27

73.

Convert this mixed number to an improper fraction.

a)

1/6

b)

21/6

c)

13/6

d)

12/6

74.

Round 5.592 to the nearest hundredth.

a)

5.60

b)

5.50

c)

6.59

d)

5.59

75.

Round 72.178 to the nearest hundredth.

a)

72.2

b)

72.18

c)

72

d)

73.18

76.

Round 47.941 to the nearest tenth.

a)

47.9

b)

48

c)

47.91

d)

48.1

77.

Which of the following is 4.5 when rounded to the nearest tenth? Choose all correct answers.

a)

4.55

b)

4.44

c)

4.52

d)

4.48

e)

4.45

78.

Round $278.49 to the nearest hundred dollars.

a)

$200.00

b)

$300.00

c)

$270.00

d)

$260.00

79.

What is the least common denominator of 1/9 and 2/3?

a)

6

b)

3

c)

9

d)

21

80.

Find the lowest common denominator of these fractions: 2/7 and 2/21

a)

7

b)

21

c)

18

d)

147

81.

$\frac{5}{8}+\frac{1}{6}$ Find the least common denominator

(a)

82.

$\frac{3}{4}-\frac{2}{7}$ Find the least common denominator

(a)

83.

$\frac{5}{6}-\frac{3}{4}$ Find the least common denominator

(a)

84.

Which point is at (6,0)

a)

Point A

b)

Point B

c)

Point C

d)

Point D

85.

What is the ordered pair of Point B?

a)

(5,7)

b)

(7,5)

c)

(0,6)

d)

(4,7)

86.

Give the coordinates for POINT H.

a)

(-1, 2)

b)

(1, -2)

c)

(-1, -2)

d)

(1 , 2)

87.

Where is T?

a)

(-3, -2)

b)

(-2,-3)

c)

(3,2)

d)

(-3,2)

88.

Which letter matches the coordinate (4, -6)?

a)

G

b)

Z

c)

K

d)

None of the above

89.

(-12) + 7

No Calculator

a)

5

b)

-5

c)

19

d)

-19

90.

(-10) + (-7)

No Calculator

a)

-17

b)

17

c)

3

d)

-3

91.

-6 + 12

No Calculator

a)

-18

b)

6

c)

-6

d)

NONE OF THESE

92.

-13 - (-5)

No Calculator

a)

18

b)

-18

c)

8

d)

-8

93.

8 - (-3)

No Calculator

a)

-11

b)

5

c)

-5

d)

11

94.

3 - (-6) =

No Calculator

a)

5

b)

9

c)

7

d)

-9

95.

You check the thermometer at 8:00 A.M. and the temperature reads 32 degrees Fahrenheit. You check the temperature again and realized it had dropped 11 degrees. What is the current temperature? No Calculator

a)

43

b)

-21

c)

21

d)

-43

96.

19 + (-12) : No Calculator

(a)

97.

-6 - 20 No Calculator

(a)

98.

$-4\ +18\ +\ \left(-15\right)$ Solve: No Calculator

a)

1

b)

-37

c)

-1

d)

-29

99.

$-7\ \left(10\right)=$

No Calculator

a)

70

b)

700

c)

-70

d)

-700

100.

$-5\ \left(-8\right)=$

No Calculator

a)

-40

b)

-13

c)

13

d)

40

101.

$-25\div\left(-5\right)=$

No Calculator

a)

5

b)

-5

c)

-125

d)

125

102.

(-2)(-4)(-3)

No Calculator

a)

24

b)

-24

c)

8

d)

-21

103.

-7 x -7

No Calculator

a)

14

b)

-14

c)

49

d)

-49

104.

-81 ÷ -9 =

No Calculator

a)

9

b)

-9

c)

90

d)

-90

105.

When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...

a)

Positive

b)

Negative

c)

Depends on which is bigger.

106.

When multiplying or dividing a NEGATIVE and NEGATIVE number your result will be...

a)

POSITIVE

b)

NEGATIVE

c)

DEPENDS ON WHICH NUMBER IS LARGER.

107.

No Calculator

a)

5

b)

-5

c)

3

d)

-3

108.

$-153\div17$ No Calculator

(a)

109.

What is 20% of 75? Use percent proportion or equation.

a)

15

b)

60

c)

6

d)

1.5

110.

What is 30% of 80? Use percent proportion or equation.

a)

30

b)

24

c)

2.4

d)

56

111.

26 is 5% of what number? Use percent proportion or equation.

a)

1.3

b)

2.5

c)

25.95

d)

520

112.

What percent of 50 is 20? Use percent proportion or equation.

a)

40%

b)

25%

c)

2.5%

d)

4%

113.

Round to the nearest percent. Use percent proportion or equation.

78 is what percent of 450?

a)

5%

b)

.17

c)

17%

d)

18%

114.

34% of what number is 51? Use percent proportion or equation.

a)

69

b)

71

c)

150

d)

196

115.

What is 15% of 82? Use percent proportion or equation.

a)

12.3

b)

123

c)

1.23

d)

15

116.

Martin's class has 28 students in it. 25% of those students are home sick today. How many students are home sick? Use percent proportion or equation.

a)

4 students

b)

7 students

c)

11 students

d)

13 students

117.

What percent of $90 is $9? Use percent proportion or equation.

a)

1000%

b)

10%

c)

100%

d)

20%

118.

What number is 2% of 35? Use percent proportion or equation.

a)

7

b)

0.057

c)

.7

d)

.007

119.

You plan to purchase a plane ticket for $299.00 and you are going to use a discount code to receive 15% off. How much will the ticket cost?

a)

$149.50

b)

$254.15

c)

$343.85

d)

$44.85

120.

Sam bought an $85.00 jacket for 40% off of the regular price. How much did he pay for the jacket?

a)

75

b)

51

c)

36

d)

34

121.

Sales tax is __________ to the price

a)

subtracted

b)

added

c)

multiplied

d)

divided

122.

Bill: $25
Percentage of tip: 20%
Tip????

a)

$6.00

b)

$5.00

c)

$2.50

d)

$4.00

123.

A store pays $1.50 for a bag of candy. If the store wants to mark-up the price 60%, for how much will the store sell the bag of candy?

a)

$0.60

b)

$2.40

c)

$0.90

d)

$6.00

124.

A $10 shirt is on sale for 25% off the price. What is the sale price of the shirt?

a)

$7.50

b)

$2.50

c)

$12.50

d)

$17.50

125.

Johnny bought a computer that was 20% off the regular price of $1,080. If an 8% sales tax was added to the cost of the computer, what was the total price Johnny paid for it?

a)

$302.40

b)

$864.00

c)

$933.12

d)

$1382.40

126.

Discount is ____________ from the price.

a)

added

b)

divided

c)

subtracted

d)

Mr. Ed is very old

127.

A clothing store pays $15 for a shirt. The percent markup is 85%. Find the selling price. Round to nearest cent if necessary.

a)

$12.75

b)

$100

c)

$27.80

d)

$27.75

128.

You are purchasing a T.V for $990 T.V with 9% sales tax. What is the final price of the T.V.?

a)

$ 1881.00

b)

$ 1079.00

c)

$ 1,079.10

d)

$ 1,709.1

129.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

130.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

131.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

132.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

133.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2/1

d)

-2/1

134.

Find the slope of the line that passes through:
(6,7) and (4,2)

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

135.

Find the slope of the line that passes through:
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

136.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

137.

What is the slope?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

138.

Write the letter that corresponds with Quadrant II.

a)

A

b)

B

c)

C

d)

D

139.

Find the rate of change

a)

1

b)

2

c)

11

d)

Not a constant slope/Non-Linear

140.

a)

40 CALORIES PER MIN.

b)

15 CALORIES PER MIN.

c)

4 CALORIES PER MIN.

d)

60 CALORIES PER MIN.

141.

What is the constant rate of change between the quantities in the table?

a)

$1 per hour

b)

$40 per hour

c)

$5 per hour

d)

$10 per hour

142.

Analyze the point (3, 27). What does the point represent?

a)

The point (3,27) represents 27 shirts for $3.

b)

The point (3,27) represents $27 for 3 shirts.

143.

Solve the proportion:

a)

c = 4

b)

c = 8

c)

c = 14

d)

c = 10

144.

Solve for x

a)

x = 6

b)

x = 25

c)

x = 28

d)

x = 17

145.

Solve the proportion.

(a)

146.

Solve for x

a)

x = 15

b)

x = 11

c)

x = 1/11

d)

x = 20

147.

Solve the proportion below:

a)

3

b)

24

c)

21

d)

12

148.

Solve the proportion below:

(a)

149.

Solve the proportion:

a)

15

b)

5

c)

10

d)

12

150.

Are the fractions equivalent?

a)

Yes

b)

No

151.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

152.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

153.

A unit rate is a rate in which the unit in the denominator is:

a)

0

b)

3

c)

1

d)

2

154.

A store has 120 customers in 6 hours. What is the unit rate in customers per hour?

a)

16 customers per hour

b)

12 customers per hour

c)

20 customers per hour

d)

15 customers per hour

155.

If a dozen bagels cost $8.40, what is the cost per bagel? (1 dozen = 12 bagels)

a)

$0.84

b)

$0.42

c)

$0.70

d)

$0.07

156.

Find the unit rate.

44 stamps on 4 sheets = _________ stamps per sheet

a)

11

b)

12

c)

8

d)

10

157.

Harry mowed eight lawns and earned $96. How much did he earn for each lawn?

a)

$96

b)

$12

c)

$768

d)

$8

158.

Hadley is driving to Colorado. She has been traveling for 4 hours, and she has driven 260 miles. Find her speed in miles per hour.

a)

85

b)

65

c)

60

d)

70

159.

A cashier at the grocery store rung up 2 customers in 8 minutes. At this rate, how many customers can he ring up in 32 minutes?

a)

128 customers

b)

4 customers

c)

8 customers

d)

14 customers

160.

After 3 hours, Ernie had travelled 195 miles. If he travels at a constant speed, how far will he have travelled after 5 hours?

a)

400 miles

b)

325 miles

c)

575 miles

d)

650 miles

161.

A store had 2 blue chairs for $22.78 or 6 red chairs for $67.80. Which color chair has the lower unit price?

a)

2 blue chairs for $22.78

b)

6 red chairs for $67.80

162.

A machine can pack 70 boxes of spaghetti in 5 minutes. At this rate, how many boxes can they pack in 8 minutes.

a)

35 boxes

b)

14 boxes

c)

112 boxes

d)

560 boxes

163.

True or False: When doing unit rate, Money ALWAYS goes on:

a)

Top

b)

Bottom

7/8th Final Exam Semester 1 21-22

Total questions: 163

Worksheet time: 8hrs 57mins

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