Math 35
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MATH 35 FINAL EXAM REVIEW PROBLEMS
*Note 1: The actual Math 35 final exam may include, but is not limited to, the problems provided in this
handout. Study your notes and past homework assignments, quizzes, and tests. Also, see a tutor and/or your
professor if you need any additional assistance.
*Note 2: NO NOTES OR CALCULATORS ARE ALLOWED ON THE FINAL EXAM.
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Simplify.
1) -|-6|
A) 6
B) -1
C) -6
D) 1
E) None of the above
2)
6(-3) - 5 + 7
-64 ÷ 4
A) - 1
B) 1
1
C)
4
D) 4
E) None of the above
3)
[30 ÷ (-6) + 1]
[1 - (-1)]
A) 2
B) -2
C) -1
D) undefined
E) None of the above
4) |4 - 20| · (-8) ÷ (-4)
A) -32
B) -512
C) 32
D) 512
E) None of the above
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Math 35
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Simplify.
5) -3 4
A) -12
B) 81
C) 12
D) -81
E) None of the above
6) -9 2 - 102
A) -38
B) -181
C) 181
D) 38
E) None of the above
Find the quotient.
0
7)
7
A) 0
B) 7
C) 1
D) undefined
E) None of the above
Evaluate the expression for x = -2, y = 3, z = -4.
8) -2x - 3y2 + 3z
A) -35
B) -26
C) 10
D) 10
E) None of the above
Write the phrase as a variable expression. Use x to represent "a number."
9) A number subtracted from 5
A) x - 5
B) 5x
C) 5 + x
D) 5 - x
E) None of the above
10) The product of -5 and the sum of a number and 37
A) -5x + 37
B) -5(x + 37)
C) -5 + 37x
D) -185x
E) None of the above
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Math 35
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Write the sentence as an equation. Use x to represent "a number."
11) Seven times the difference of 13 and a number gives -7.
A) 7(x - 13) = -7
B) 7(13) - x = -7
C) 7(13 - x) = -7
D) 7x - 13 = -7
E) None of the above
Solve the equation.
12) -4x - 32 = 4x + 8
A) 5
B) 4
C) -4
D) -5
E) None of the above
13) -3(x + 9) - 2 = 1 - 4x
A) 30
B) - 28
C) - 30
D) 6
E) None of the above
14)
x
1
+1=
7
7
A) -
6
7
B) 6
C) -6
6
D)
7
E) None of the above
Solve.
15)
x
- x = -2
6
A) -
12
5
B) -
2
5
C)
12
5
D)
2
5
E) None of the above
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Math 35
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16) During an intramural basketball game, Team A scored 14 fewer points than Team B. Together, both teams
scored a total of 148 points. How many points did Team A score during the game?
A) 81 points
B) 74 points
C) 67 points
D) 68 points
E) None of the above
17) A high school graduating class is made up of 339 students. There are 77 more girls than boys. How many boys
are in the class?
A) 131 boys
B) 339 boys
C) 77 boys
D) 208 boys
E) None of the above
18) The president of a certain university receives a salary three times the salary of one of the department heads. The
total of the two salaries is $190,000. Determine the salaries.
A) president's salary = $14,250; department head's salary = $4750
B) president's salary = $142,500; department head's salary = $47,500
C) president's salary = $95,000; department head's salary = $47,500
D) president's salary = $47,500; department head's salary = $142,500
E) None of the above
Simplify.
19)
4 1 1
÷ ·
5 9 6
A)
6
5
B)
8
15
C)
216
5
D)
2
135
E) None of the above
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Math 35
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20)
1 1 1
+ ·
3 6 5
A)
1
10
B)
1
45
C)
23
18
D)
11
30
E) None of the above
21)
8 1 1
÷ ·
5 4 3
A)
2
15
B)
32
15
C)
6
5
D)
96
5
E) None of the above
Solve.
22) A restaurant has a capacity of 84 patrons. If the restaurant is
A) 7 patrons
B) 30 patrons
C) 35 patrons
D) 40 patrons
E) None of the above
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5
full, how many patrons are at the restaurant?
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Math 35
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Perform the indicated operation. Write the answer as a mixed number in simplest form.
1
1
23) 15 - 6
5
7
A) 9
6
35
B) 2
1
7
C) 9
2
35
D) 8
6
35
E) None of the above
Write the fraction as a decimal. If necessary, use repeating decimal notation.
5
24)
4
A) 0.8
B) 1.25
C) 1
D) 1.5
E) None of the above
Solve.
25) Video games made up 86.1% of the total revenue for a small specialty store. Write this percent as a decimal.
A) 0.0861
B) 86.1
C) 0.861
D) 8.61
E) None of the above
Perform the indicated operation.
26) 50.84 + 84.83 + 12.936
A) 148.606
B) 148.616
C) 149.606
D) 148.706
E) None of the above
27)
7.4
- 5.741
A) 3.000
B) 1.741
C) 2.659
D) 1.659
E) None of the above
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Math 35
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Divide.
28) Divide 49.5 by -0.0009
A) -27,500
B) -0.9
C) -55,000
D) -5500
E) None of the above
Solve.
29) A printing company charges $1.7845 for each wedding invitation it prints. What would be the cost (before tax)
for printing 300 wedding invitations? (Round the answer to the nearest cent.)
A) $475.35
B) $535.35
C) $53.54
D) $47.54
E) None of the above
Arrange the list of numbers in order from smallest to largest.
30) 0.05, 0.04, 0.045, 0.054
A) 0.04, 0.045, 0.05, 0.054
B) 0.054, 0.045, 0.05, 0.04
C) 0.045, 0.054, 0.04, 0.05
D) 0.04, 0.05, 0.045, 0.054
E) None of the above
5
4
31) 3.25, 3 , 3.52, 3
8
9
4 5
A) 3 , 3 , 3.25, 3.52
9 8
5
4
B) 3 , 3.52, 3 , 3.25
8
9
4
5
C) 3.25, 3 , 3.52, 3
9
8
4 5
D) 3.25, 3.52, 3 , 3
9 8
E) None of the above
Solve.
32) On an architect's blueprint, 1 inch corresponds to 9 feet. If an exterior wall is 36 feet long, find how long the
blueprint measurement should be. Write the answer as a mixed number if necessary.
1
A) 7 in.
2
B) 4 in.
C) 9 in.
D) 36 in.
E) None of the above
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Math 35
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Simplify the expression.
33) (x2 )4 (x8 )6
A) x84
B) x56
C) x40
D) x112
E) None of the above
34)
14m 19n 6
2m 18n 3
A) 7n 3
B) 14mn 3
C) 7mn 3
D) 7m 37n 9
E) None of the above
35) (-8x7 y9 z)2
A) -8x9 y11z
B) 64x14y18z 2
C) -64x14y18z 2
D) 16x14y18z 2
E) None of the above
Multiply and simplify.
36) (5x + 2)(5x - 9)
A) 25x2 - 18
B) 25x2 - 55x - 18
C) 10x2 - 7
D) 25x2 - 35x - 18
E) None of the above
37) -7x2 (6x - 2)
A) -42x3 + 14x2
B) -42x + 14
C) -28x2
D) -42x3 - 2
E) None of the above
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Math 35
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Find the square root.
1
38)
121
A) 11
1
B)
22
C)
1
11
D)
1
5
E) None of the above
Solve.
39) The enrollment at a local college increased 12% over last year's enrollment of 4200. Find the increase in
enrollment.
A) 504 students
B) 3696 students
C) 5040 students
D) 4704 students
E) None of the above
Given that the pair of triangles is similar, find the unknown length of the side labeled with a variable.
40)
18
y
12
16
A) 23
B) 24
C) 16
D) 30
E) None of the above
Write the rate as a unit rate.
41) 585 miles on 15 gallons of gas
A) 0.026 mi/gallon
B) 39 mi/gal
C) 600 gal
D) 8775 mi
E) None of the above
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Math 35
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Solve.
42) Find the discount rate when the original price is $103.00 and the amount of the discount is $30.90.
A) 30%
B) 1%
C) 7%
D) 70%
E) None of the above
43) A gardener wants to put a fence around a garden with sides of lengths 46 m, 15 m, 68 m, and 42 m. How much
fencing must he buy?
A) 171 m
B) 228 m
C) 220 m
D) 122 m
E) None of the above
Convert the measurement as indicated.
1
44) 14 gal to qt
2
A) 28 qt
B) 58 qt
C) 116 qt
D) 56 qt
E) None of the above
45) 248 g to kg
A) 24,800 kg
B) 0.248 kg
C) 248,000 kg
D) 0.0248 kg
E) None of the above
46) 96.08 m to mm
A) 96,080 mm
B) 0.961 mm
C) 0.0961 mm
D) 9608 mm
E) None of the above
Simplify the expression.
47) -5y0
A) 0
B) -1
C) 1
D) -4
E) None of the above
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Math 35
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Write the number in scientific notation.
48) 0.00001479
A) 1.479 × 104
B) 1.479 × 10-5
C) 1.479 × 10-4
D) 1.479 × 105
E) None of the above
49) 2,310,000
A) 2.31 × 10-6
B) 2.31× 106
C) 2.3 1× 10-7
D) 2.31 × 107
E) None of the above
Find the measure of the indicated angle. The figure is not drawn to scale.
50) Find the measure of angle f. Line m is parallel to line n.
40°
A) 50°
B) 140°
C) 130°
D) 150°
E) None of the above
Add the polynomials.
51) (-5x2 + 11x) + (12x2 - 4x - 10)
A) 7x4 + 7x2 - 10
B) 14x6 - 10
C) 7x2 + 7x + 10
D) 7x2 + 7x - 10
E) None of the above
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Math 35
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Subtract the polynomials.
52) (5z 2 + 5z - 1) - (-10z 2 + 10)
A) -5z 2 + 5z + 9
B) 15z 2 + 5z - 11
C) -5z 2 - 5z - 1
D) 15z 2 - 5z - 1
E) None of the above
Factor completely.
53) 18x3 - 6x2 + 10x
A) 2(9x3 - 3x2 + 5x)
B) 2x(9x2 - 3x + 5)
C) 2x(9x3 - 3x2 + 5x)
D) x(18x2 - 6x + 10)
E) None of the above
Find the greatest common factor of the list of terms.
54) 56x3 , 28x9
A) 42x3
B) 14x6
C) 56x3
D) 28x3
E) None of the above
Sketch the right triangle and find the length of the side not given.
55) leg = 9, leg = 12
A) 8
B) 11
C) 15
D) 14
E) None of the above
Solve.
56) Find the surface area of a box in the shape of a cube that is 2.5 feet on each side.
A) 15.625 sq ft
B) 37.5 sq ft
C) 25 sq ft
D) 6.25 sq ft
E) None of the above
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Math 35
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Find the volume of the rectangular prism.
57)
5m
2m
9m
A) 10 cubic meters
B) 16 cubic meters
C) 270 cubic meters
D) 90 cubic meters
E) None of the above
Find the area of the geometric figure.
58)
1.3 yd
0.5 yd
1.2 yd
A) 0.6 square yards
B) 0.3 square yards
C) 0.325 square yards
D) 3 square yards
E) None of the above
Find the exact or approximate circumference of the circle, as indicated.
59) Find the approximate circumference. Use π ≈ 3.14.
4.5 mi
A) 7.065 mi
B) 28.260 mi
C) 15.896 mi
D) 14.130 mi
E) None of the above
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Math 35
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Graph the equation.
60) x - 4y = -8
y
8
6
4
2
-8
-6
-4
-2
2
4
6
8
x
-2
-4
-6
-8
A)
B)
y
-8
-6
-4
y
8
8
6
6
4
4
2
2
-2
2
4
6
8 x
-8
-6
-4
-2
-2
-2
-4
-4
-6
-6
-8
-8
C)
2
4
6
8 x
2
4
6
8 x
D)
y
-8
-6
-4
y
8
8
6
6
4
4
2
2
-2
2
4
6
8 x
-8
-6
-4
-2
-2
-2
-4
-4
-6
-6
-8
-8
E) None of the above
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Answer Key
Testname: MATH_35_FINAL_REVIEW_PROBLEMS_SP2015
1) C
2) B
3) B
4) C
5) D
6) B
7) A
8) A
9) D
10) B
11) C
12) D
13) A
14) C
15) C
16) C
17) A
18) B
19) A
20) D
21) B
22) C
23) C
24) B
25) C
26) A
27) D
28) C
29) B
30) A
31) C
32) B
33) B
34) C
35) B
36) D
37) A
38) C
39) A
40) B
41) B
42) A
43) A
44) B
45) B
46) A
47) E
48) B
49) B
50) B
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Answer Key
Testname: MATH_35_FINAL_REVIEW_PROBLEMS_SP2015
51) D
52) B
53) B
54) D
55) C
56) B
57) D
58) B
59) D
60) A
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