# PREALGEBRA FINAL EXAM REVIEW

80) Simplify: − (−15)

Section 2.2

81) Evaluate the expression if x = −2

and y = 0 :

3x^{2} + 5y

Section 2.3

82) Evaluate the expression if x = 7

and y = −5 :

5xy − 3y

Section 2.4

83) Translate the phrase then simplify:

Subtract -8 from 19

Section 2.5

84) Perform the indicated operations :

(3 − 5)^{2} + 5 − 3^{2}

85) Perform the indicated operations:

Section 2.6

86) Solve for x : − 6x − 4 = 50

Section 3.1

87) Simplify: 4(x − 7) − 6x

Section 3.2

88) Solve for x : − 4 −10 = 4x − 5x

Section 3.3

89) Solve for x : − 4 + 3x = 4(x + 2)

Section 3.4

90) Translate into an algebraic equation

and solve. Use x to represent “a

number.”

Twice a number decreased by seven

is negative 5

Section 4.2

91) Determine whether the following

fractions are equivalent :

Section 4.3

92) Farmer Johnson has 60 chickens in

his barn. Two thirds of his chickens

lay eggs. How many of his chickens

lay eggs?

93) Of the 45 students taking the math

exam, seven-ninths of them passed.

How many students passed the

exam?

Section 4.4

94) Jan has run
miles of a marathon

that is
miles. How much farther

must she run?

Section 4.5

95) Simplify the following by

combining like terms :

96) Simplify the following by

combining like terms :

Section 4.6

97) Simplify.

Section 4.7

98) Subtract and write solution as a mixed

number:

Section 4.8

99) Solve for x :

Section 5.1

100) Write 0.875 as a fraction in lowest

terms.

Section 5.2

101) Simplify the following by combining

like terms: 0.3x −1.7y + 9.2x + 0.8y

Section 5.3

102) Find the circumference of the

following circle .

a) Give the exact answer

(in terms of π ).

b) Approximate the circumference

by using π ≈ 3.14.

Section 5.4

103) Divide 68 by 0.0002

Section 5.5

104)Write as a decimal .

105) Make the statement true by inserting

> or < between the numbers:

Section 5.6

106) Solve for x : − 5x = 12.245

Section 5.7

107) Helen’s test scores are 51, 97, 88,

85, 71 and 80. What is Helen’s

average (mean) test score?

(Round to the nearest tenth)

Section 6.1

108) Which is the better buy?

a) A 24 oz. jar of jelly for $3.79

b) A 16 oz. jar of jelly for $2.99

109) Jack’s Donuts-R-Us sells a dozen

glazed donuts for $1.92. Herbert’s

Donut Heaven sells six glazed

donuts for $1.14. Find the unit price

for a donut at each shop and state

which shop is cheaper.

Section 6.2

110) Solve for x :

Section 6.3

111) On an architect’s blueprint, 1 inch

corresponds to 8 feet. Find the

length of a wall represented by a

line that is
inches on the

blueprint.

Section 6.4

112) Use the Pythagorean theorem

( a^{2} + b^{2} = c^{2} ) to find the missing

side of the following right triangle.

Round your answer to the nearest

thousandth.

Section 7.2

113) Translate into an equation and

solve : 24 is what percent of 120?

Section 7.3

114) Write as a proportion and solve :

234.5 is 35% of what number?

Section 7.4

115) The value of a diamond increases

by the same amount each year. If

the value increases by $600 in 4

years, then how much does the

value of the diamond increase in

value per year?

Section 7.5

116) Larry earns 25% commission on

his sales per month. If Larry sells

$6,500 worth of merchandise in

one month, how much does he

earn?

117) Maryland has a sales tax of 6%.

Delaware has no sales tax at all.

Would it be cheaper to buy a

sweater for $79 in Maryland or

$84 in Delaware?

Section 7.6

118) Robert invests $3,850 into an

account that pays
simple

interest. How much interest will he

earn after 2 years?

Section 9.2

119) Find the exact circumference of the

following circle:

Section 9.3

120) Find the exact area of the

following circle

(ie; leave answer in terms of π ).

121) Find the area of the following figure:

122) In the 1980’s the Rubik’s cube was

very popular. It was a cube that

measured three inches on each side.

What was the volume of the cube?

**Solutions:**

1) Forty-two million, ninety-seven

thousand, eight hundred twenty-three

2) 980,617

3) 28,117

4) 67,459

5) 44,000

6) 232,000,000

7) 161,164

8) 1,554 square feet

9) 406

10) 92 R 61

11) 59

12) 39

13) 3

14) 62

15) a) = b) =

16) a) > b) <

17) 12

18) -21

19)6

20)13

21) 420

22) -60

23) 4

24) -3

25) y = -5

26) x = -9

27) − 2x +1

28) − 7x + 20

29) x = 8

30) x = -21

31) x = 11

32) x = -2

33) 3(x + 5)= x +1; x = -7

46) x = 8

47) Four and sixty-five hundredths

48) 3.28

49) -29.792

50) 82.075

51) 82

52) 0.89

53) x = 293

54) 81.8 ≈ 82%

56) 1000 males

57) n = 1.56

58) 450 km

59) 8

61) 0.014

62) 832%

63) 12

64) 92%

65) 25%

66) 27.8%

67) a) $70.00 b) $280.00

68) $1,060.00

69) 48 cm

70) The square has a larger area

End of non- calculator portion .

Beginning of calculator portion:

70) $820

71) 62 meters

72) $1,643

73) 120cm^{2} or 120 square

centimeters

74) 84 gallons

75) 17.5 → he needs 18 gallons of

paint because he can’t buy half-gallons

76) 22

77) 4

79) -21

80) 15

81) 12

82) -160

83) 27

84) 0

85) 11

86) x = −9

87) − 2x − 28

88) x = 14

89) x = −12

90) 2x − 7 = −5; x = 1

91) Not equivalent

92) 40 chickens

93) 35 students

101) 9.5x − 0.9y

102) a) 8π in. b) 25.12 in.

103) 340,000

104) 7.6

105) <

106) -2.449

107) 78.7

108) a

109) Jack’s

110) x = 132

111) 42 feet

112) 5.196 inches

113) x = .20 or 20%

114) x = 670

115) $150.00

116) $1,625.00

117) MD is cheaper

118) $962.50

119) C=12π feet

120) A = 36π square feet

121) A = 12.685 square cm.

122) V = 27 cubic inches

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