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# Prealgebra With P.O.W.E.R. Learning 1st Edition by Messersmith Test Bank

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##### Prealgebra With P.O.W.E.R. Learning 1st Edition by Messersmith Test Bank

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Evaluate the expression for the given values.
1) 8r + 5 for r = 4 1)
A) 37 B) 28 C) 32 D) 17
2) 7h + 4 for h = -9 2)
A) 2 B) -63 C) -59 D) -29
3)
12c
4-c
for c = 8 3)
A) 24 B) -24 C) -3 D) 3
4) 5m + 3n for m = 0, n = 7 4)
A) 35 B) 26 C) 21 D) 56
5) 7g 3h for g = -8 and h = -3 5)
A) 65 B) -47 C) -44 D) 231
Write the product using exponents.
6) 2 2 2 6)
A) 83 B) 23 C) 32 D) 8
7) a a a 7)
A) 3a B) 3a C) a2 D) a3
8) m m m m m p p p p p p 8)
A) 11mp B) mp11 C) mp30 D) m5p6
Evaluate the expression.
9) x2 when x = 10 9)
A) 100 B) 12 C) 1024 D) 20
10) a2 when a = -9 10)
A) -81 B) 18 C) 81 D) 512
11) 4c2 when c = -11 11)
A) -88 B) 88 C) 1936 D) 484
12) -4m3 when m = 6 12)
A) 864 B) -864 C) 13,824 D) -13,824
1
List the terms and coefficients of the expression and identify the constant.
13) -9a4 4b2 c 8 13)
A) Terms: -9a4, -4b2, -c; coefficients: 4, 2; constant -9
B) Terms: -9a4, -4b2, -c, -8; coefficients: -9, -4, 0; constant -8
C) Terms: -9a4, -4b2, -c; coefficients: 4, 2, 1; constant -9
D) Terms: -9a4, -4b2, -c, -8; coefficients: -9, -4, -1; constant -8
14) -5x5y3 + 26x4z2 373 + 22 14)
A) terms: -5x5y3, 26x4z2, -373, 22; coefficients: -5, 26, -37; constant 22
B) terms: -5x5y3, 26x4z2, -373, 22; coefficients: -5, 26, -37; constant -5
C) terms: -5x5y3, 26x4z2, -373; coefficients: -5, 26, -37; constant 22
D) terms: -5x5y3, 26x4z2, -373; coefficients: -5, 26, -37, 22; constant -5
List the terms and coefficients of the expression and identify the constant. Then, evaluate the expression
for the given values of the variables.
15) -7u2 2u 4; u = 5 15)
A) terms: -7u2, -2u; coefficients: -7, -2, -4; constant -4; value of expression: 1211
B) terms: -7u2, -2u, -4; coefficients: -7, -2; constant -4; value of expression: -189
C) terms: -7u2, -2u, -4; coefficients: -7, -2; constant -4; value of expression: 1211
D) terms: -7u2, -2u; coefficients: -7, -2, -4; constant -4; value of expression: -189
16) m3 mn 8n2; m = -4, n = -2 16)
A) terms: m3, -mn, -8n2; coefficients: -8; constant: -8; value of expression -40
B) terms: m3, -mn, -8n2; coefficients: 1, -1, -8; constant: 0; value of expression -40
C) terms: m3, -mn, -8n2; coefficients: 1, -1, -8; constant: 0; value of expression -104
D) terms: m3, -mn, -8n2; coefficients: -8; constant: -8; value of expression -104
Use the commutative property to rewrite the expression.
17) 6 + a 17)
A) 6 + a + 0 B) 6a C) a + 6 D) (1 + 5)a
18) b 8 18)
A) b8 B) b 8 1 or b8 C) 8 b or 8b D) 8 + b
Use the associative property to rewrite the expression, then simplify.
19) (k + 19) + 2 19)
A) k + (19 + 2) = k + 21 B) 2 + (k + 19)
C) k + (19 + 2) = k + 21 = 21k D) k + 2 + 19 + 2 = k + 23
2
20) -3(11m) 20)
A) (11 3)m = 8m B) (-3)(11) (-3)m = 99m
C) (-3 11)m = -33m D) (11m)(-3)
Rewrite the expression using the distributive property.
21) 10(d + 12) 21)
A) 120d B) 22d C) 10d + 12 D) 10d + 120
22) -4(r + 6) 22)
A) 2r B) -4r 24 C) -24r D) -4r + 6
23) -4(-3x 10) 23)
A) 12x + 40 B) -3x + 40 C) 12x 10 D) 52x
24) -(p 29) 24)
A) p + 29 B) -p + 29 C) -p 29 D) p 29
Determine whether the following groups of terms are like terms.
25) 2m, 2n, 8 25)
A) no B) yes
26) 3r, -r3, 3r2 26)
A) no B) yes
27) -7w, 12w, -w, 5w 27)
A) no B) yes
Combine like terms.
28) 2r + 11r 28)
A) 13r B) 22r C) 9r D) 13r2
29) -d + 17d 29)
A) 16d B) -17d2 C) 18d D) -17d
30) 2a + 2 9a + 1 30)
A) -7a + 1 B) 7a + 3 C) -7a + 3 D) -7a2 + 3
31) -19p 8p + 4 + 7 + p 5 31)
A) -26p + 6 B) -10p + 6 C) 28p + 17 D) 28p + 6
3
32) x2 + 7x 10 122 x 12 32)
A) -132 6x + 22 B) -134 62 + 22
C) -112 + 6x 22 D) -114 + 62 22
Identify the following as either an expression, an equation, or neither.
33) 92 + 6x 6 33)
A) neither B) equation C) expression
34) -4a + 7 = -1 34)
A) equation B) neither C) expression
Which of the following are linear equations in one variable?
35) I. y2 + 5y + 5 = 0; II. 1
5
w 4(6w + 1) = 6; III. 3m 2 + 4m + 6 35)
A) II B) III C) I D) II and III
Determine whether the given number is a solution to the equation.
36) 9y + 4 = 40; -4 36)
A) no B) yes
37) 10t + 4 = -36; -4 37)
A) yes B) no
Solve the equation.
38) z 8 = -10 38)
A) z = 18 B) z = -2 C) z = 2 D) z = -18
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
39) c 27 = -24 39)
40) x + 9 = -1 40)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
41) 26 = r + 5 41)
A) r = 21 B) r = -31 C) r = -21 D) r = 31
42) 10p = 90 42)
A) p = 100 B) p = 900 C) p = 9 D) p = 80
43) -3x = 18 43)
A) x = -6 B) x = 6 C) x = 15 D) x = 21
4
44) -40 = 8m 44)
A) m = -32 B) m = -48 C) m = -5 D) m = 48
45) 6 = -v 45)
A) m = 7 B) m = -6 C) m = 6 D) m = 5
46) 3x + 8 = 2 46)
A) x = 0 B) x = 2 C) x = 3 D) x = -2
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
47) 5k 13 = -28 47)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
48) 21 = 3y + 3 48)
A) y = -6 B) y = -5 C) y = 6 D) y = 4
49) -12 = 3 3w 49)
A) r = 5 B) -3 C) r = -5 D) 3
50) 8x 7x + 9 = 10 8 50)
A) 2 B) -2 C) -7 D) 7
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
51) 2(-1 3m) = -2 51)
52) -4(2y + 3) + 4 = 0 52)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
53) -6 + 2b 3 2b + b = -13 53)
A) b = -13 B) b = -22 C) b = 13 D) b = -4
54) -6(w 3) + 5(w + 2) = 31 54)
A) -15 B) 15 C) w = 3 D) w = -3
55) -8x 5 = -3x 10 55)
A) x = 1 B) x = -1 C) x = -3 D) x = 3
56) -7y + 7 + y = -4y + 17 56)
A) y = 12 B) y = -5 C) y = -12 D) y = 5
5
57) 2(4r + 19) 84 = 86 3(5r 2) 57)
A) r = 0 B) r = 2 C) r = 6 D) r = 5
58) -2 (-2w + 1) + 6w = 3(2w + 5) 58)
A) w = 8 B) w = -8 C) w = 9 D) w = 0
59) 3(5h 4) + 4(h + 5) = -h + 2(h + 1) + 6 59)
A) h = 2 B) h = -4 C) h = 5 D) h = 0
Determine whether the key words indicate addition, subtraction, multiplication, or division.
60) more than 60)
A) multiplication B) division C) addition D) subtraction
Write a mathematical expression and simplify, if possible. Use x to represent the unknown quantity.
61) Sixteen more than a number 61)
A) x 16 B) x + 16 C) 16x + 16 D) 16x
62) Eleven less than a number 62)
A) 11x 11 B) x 11 C) x + 11 D) 11x
63) A number increased by twenty-one 63)
A) x + 21 B) x 21 C) 21x D) 21x + 21
64) Sixteen more than twice a number 64)
A) 2(x + 16) B) 32x C) x + 32 D) 2x + 16
65) 4 subtracted from the quotient of a number and 7 65)
A)
x
4
7 B)
7
x
4 C)
x
7
4 D) 4 x
7
66) The sum of a number and five times the number 66)
A) x + 5x; 6x B) 5x 5 C) 1 + 5x D) x 5x; -4x
Write the statement as an equation, and find the number. Let x represent the number.
67) Twelve more than a number is thirty-nine. 67)
A) x + 39 = 12; -27 B) x + 12 = 39; 51
C) x + 12 = 39; 27 D) 12x = 39; 13
4
6
68) Thirteen less than a number is nineteen. 68)
A) x + 19 = 13; 32 B) x 13 = 19; 32
C) x 13 = 19; 6 D) 13 x = 19; -6
69) Seventeen more than twice a number is three. 69)
A) 2x + 3 = 17; 7 B) 2x 17 = 3; -7
C) 2x + 17 = 3; 10 D) 2x + 17 = 3; -7
70) Fifteen subtracted from twice a number is -3. 70)
A) 2x + 15 = -3; 9 B) 2x 15 = -3; 9
C) 2x 15 = -3; 6 D) 2x 3 = 15; 6
71) Nine less than three times a number is the same as the number increased by nineteen. 71)
A) 3 9x = x + 19; 3.3 B) 3x 9 = x + 19; 14
C) 3 9x = x + 19; 14 D) 3x 9 = x + 19; 3.3
Answer the question.
72) Wandas income is \$5330 more than Pats annual income. Find Pats income if Wandas
income is \$39,420.
72)
A) \$34,190 B) \$44,750 C) \$28,760 D) \$34,090
73) A rectangular throw rug has an area of 1248 in2. Find the width if it is 48 in. long. 73)
A) 24 in. B) 26 in. C) 35 in. D) 13 in.
74) Dema is twice as old as Kandra. If Dema is 44 years old, how old is Kandra? 74)
A) 42 years old B) 22 years old C) 88 years old D) 11 years old
75) The area of a city public pool is approximately 312 sq ft more than 26 times the area of
the Adams back yard pool. Find the area of the back yard pool if the area of the public
pool has an area of 13,260 sq ft.
75)
A) 498 sq ft B) 794 sq ft C) 555 sq ft D) 529 sq ft
76) On Tuesday, a truck driver travels 123 mi less than she traveled on Monday. If the
distance travelled on Monday was 936 mi, what is the distance traveled on Tuesday?
76)
A) 1059 mi B) 803 miles C) 936 miles D) 813 mi
77) The number of men in the room is 9 more than the number of women in the room. If
there are n women in the room, write an expression for the number of men in the room.
77)
A)
n
9 B) 9n C) n + 9 D) n 9
7
78) Marcus made \$23 more than three times Joels weekly salary. If x represents Joels
weekly salary, write an expression for Marcus weekly salary.
78)
A) 23(3 + x) B) 3x + 23 C) 3(x + 23) D) 23x + 3
79) Pat needs to bring 216 cookies to her friends party. She has already baked x cookies.
Write an algebraic expression for the number of cookies Pat still needs to bake.
79)
A) 216 x B) 216 + x C) x 216 D)
216
x
80) An x-ray technician took a total of 104 images of shoulders and knees. The number of
shoulder x-rays was 6 fewer than the knee x-rays. How many knee x-rays were there?
80)
A) 52 knee x-rays B) 98 knee x-rays
C) 49 knee x-rays D) 55 knee x-rays
81) A farmer plants soybeans and corn on his 510 acres of land. He plants twice as many
acres with soybeans as with corn. How many acres are planted with corn?
81)
A) 170 acres B) 510 acres C) 340 acres D) 255 acres
82) A gold pass to an amusment park is \$30 more than twice the cost of a regular pass. If the
total cost of one gold pass and one regular pass is \$285, how much does a gold pass cost?
82)
A) \$85 B) \$100 C) \$200 D) \$185
83) A 66 in long wire will be cut into two pieces so that one piece is twice as long as the
other. Find the length of the longer piece.
83)
A) 16.5 in B) 49.5 in C) 22 in D) 44 in
84) A triangle has a perimeter of 52.3 cm. One side is 23.1 cm. long. Of the two remaining
sides, one side is three times as long as than the other. How long is the shorter of the
remaining sides?
84)
A) 5.5 cm B) 7.3 cm C) 21.9 cm D) 16.5 cm
85) A rectangular garden plot is twice as long as it is wide. Its perimeter is 72 ft. What is the
length of the garden?
85)
A) 22 ft B) 24 ft C) 14 ft D) 12 ft
86) A 44-inch pipe must be cut into three pieces. The longest piece will be twice as long as
the shortest piece, and the medium-sized piece will be 4 inches longer than the shortest
piece. Find the length of shortest piece of pipe.
86)
A) 10 inches B) 14 inches C) 20 inches D) 6 inches
8

chapter 10

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Write the expression using exponents.
1) 30 30 30 30 30 30 1)
A) 630 B) 306 C) 66 D) 6 30
Identify the base and exponent in the expression.
2) 9p2. 2)
A) base: 9p; exponent: 2 B) base: 2; exponent: 9p
C) base: p; exponent: 2 D) base: 2; exponent: p
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
3) (-6)20 3)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Evaluate.
4) 32 4)
A) 6 B) 9
C) 8 D) None of the above
5) 122 5)
A) 144 B) 4096 C) 24 D) 14
6) (-7)2 6)
A) -49 B) -14 C) 49 D) 14
7) (-2)6 7)
A) 12 B) 32 C) 64 D) 64
8) (-5)3 8)
A) 125 B) 15 C) 15 D) 125
9) -44 9)
A) 256 B) -16 C) 16 D) -256
10) -92 10)
A) -81 B) -18 C) 81 D) 18
11) -33 11)
A) 9 B) 27 C) 27 D) 9
1
12) -102 12)
A) 20 B) 100 C) -100 D) -20
13)
11
6
2
13)
A)
121
36 B)
121
6 C)
121
36 D)
121
6
14)
2
3
4
14)
A)
8
3 B)
8
12 C)
16
81 D)
16
3
15)
9
7
2
15)
A)
81
7 B)
81
49 C)
49
81 D) 81 49
16) 23 22 16)
A) 32 B) 64 C) 24 D) 12
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Simplify the expression. Write the answer in exponent form.
17) 45 47 17)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
18) t5 t7 18)
A) t35 B) (t2)12 C) t12 D) (t2)35
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
19) y3 y5 y7 y9 19)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
20) (-54)(79) 20)
A) -3536 B) 355 C)
75
5 D) -3513
2
21) (z2)7
21)
A) z-5 B) z5 C) z14 D) z9
22) (22)9
22)
A) 211 B) 22/9 C) 2-7 D) 218
Simplify using the rules of exponents.
23) 2p10 3 23)
A) 2p13 B) 6p10 C) 8p30 D) 2p30
24) 2x 4 24)
A) 8x B) 164 C) 84 D) 24
25) 2x 4 25)
A) 8x B) -24 C) -164 D) 164
26) (-8xyz)2 26)
A) -64x2y2z2 B) -64xyz2 C) 64x2y2z2 D) 64xyz2
Evaluate.
27)
11
6
2
27)
A)
121
36 B)
121
36 C)
121
6 D)
121
6
28)
2
3
4
28)
A)
16
81 B)
8
12 C)
16
3 D)
8
3
29)
9
7
2
29)
A)
81
7 B) 81 49 C)
81
49 D)
49
81
3
30)
6
5
3
30)
A)
125
216 B)
216
5 C)
216
125 D)
216
125
Use the appropriate property to clear the parentheses.
31)
t
s
8
31)
A)
t8
s B)
t
s8 C) t8 s8 D)
t8
s8
Simplify.
32) -33y0 32)
A) -1 B) 1 C) -33 D) 0
Evaluate.
33) (-36)0 33)
A) 0 B) 36 C) -36 D) 1
34)
3
19
0
+ 9
11
7
0
34)
A) 2 B) 10
C) 0 D) None of the above
Simplify.
35) x0 35)
A) 0 B) x C)
1
x D) 1
Simplify. Assume the variable does not equal zero.
36) (3k)0 36)
A) 3k B) 0 C) 3 D) 1
37) -41y0 37)
A) -41 B) 0 C) 1 D) 1
4
Evaluate.
38) 24-1 38)
A)
1
24 B) -24
C) 1
24 D) None of the above
39) 4-3 39)
A)
1
64 B)
1
12 C) 1
81 D) -12
40)
5
8
-3
40)
A)
125
512 B) 125
512 C) 512
125 D)
512
125
41) 5-2 41)
A)
1
25 B) 1
25 C) 10 D) 25
42) 2-1 + 3-2 42)
A) -8 B)
1
216 C) 5-3 D)
11
18
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Simplify the expression. Assume the variable(s) do not equal zero. Write your answer with positive
exponents only.
43)
z9
z5 43)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
44)
17
3
10
17
3
3 44)
A)
17
3
10/3
B)
177
3 C)
17
3
13
D)
17
3
7
5
45)
x2
x6 45)
A) x8 B)
1
x4 C) -x4 D) x4
46)
42y-5
35y12 46)
A)
7
5y5y12 B)
42y7
35 C)
6
5y17 D)
6
5y7
47)
x6
x-10 47)
A) x4 B)
1
x4 C) -x4 D) x16
48)
12x2y2
30x4y5 48)
A)
5
2
x2y3 B)
12
30x2y3 C)
2
5x2y3 D)
5
2x2y3
49)
30g15h3
5g12h9 49)
A)
6g3
h6 B) 5g27h12 C) 6g3h-6 D)
30g3
5h6
50)
x7x-4
x5 50)
A)
1
x2 B)
1
x6 C) x5 D) x6
51)
5a5b3
40a-2b-3 51)
A)
a3
8 B)
a7b6
8 C)
a3b6
8 D)
a7
8
6
52)
18p2q7
9p5q6
2
52)
A)
2q2
p3 B)
4q2
p6 C)
2q2
p6 D) 4p6q2
53)
6x4y-6
3x-5y2
-3
53)
A)
y24
827 B)
6y24
x27 C)
x3
8y12 D)
69
y8
54) p3m 4
54)
A) p81m4 B) p12m C) p7m D) p3m+4
55) u8n u11n 55)
A) u19n B) u88n
C) u88n2 D) None of the above
56)
y10n
y15n 56)
A)
1
y5n B) y25n C)
1
y25n D) y5n
Answer the question.
57) Which of the following numbers is in scientific notation? 57)
A) 13.6 106 B) 2.63 104 C) 8.1 210 D) 0.57 10-5
Write the number in standard form.
58) 855.5 103 58)
A) 0.8555 B) 85,550 C) 855,500 D) 8.555
59) 1.96 104 59)
A) 0.000196 B) 19,600 C) 1960 D) 0.00196
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
60) 5.5 105 60)
7
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
61) 4.4 10-7 61)
A) 0.00000044 B) 44,000,000 C) 4,400,000 D) 0.0000044
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
62) The temperature at the suns core is estimated to be 3 107 degrees. 62)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
63) The width of a small rock is 3.8 10-5 meters. 63)
A) 0.00038 meters B) 0.0038 meters
C) 0.000038 meters D) 0.038 meters
64) The probability of winning the Powerball, multistate lottery when purchasing one ticket
is about 8.297 10-9.
64)
A) 0.000000008297 B) 0.0000000008297
C) 746.73 D) 8297000000
Write the number in scientific notation.
65) 0.00023 65)
A) 23 105 B) 2.3 10-4 C) 2.3 106 D) 23 10-5
66) 0.000668 66)
A) 6.68 10-4 B) 0.668 103 C) 66.8 103 D) 66.8 10-3
67) 36,600,000 67)
A) 366 10-5 B) 3.66 107 C) 3.66 10-7 D) 0.366 108
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
68) 563,000,000 68)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
69) A baseball players annual salary is 6,086,000 dollars. 69)
A) 6.086 106 B) 6.086 107 C) 6.086 105 D) 6086 103
70) A red blood cell is about 0.000007 meters in diameter. 70)
A) 7 10-5 B) 7 10-6 C) 0.7 10-5 D) 7 106
8
Divide. Write the final answer without an exponent.
71)
9.2 109
2.3 107 71)
A) 400 B) 500 C) 0.05 D) 0.04
Multiply and write the answer in scientific notation.
72) (1.3 1010)(3.2 106) 72)
A) 4.16 1060 B) 4.5 1016 C) 4.16 10016 D) 4.16 1016
Multiply. Write the final answer without an exponent.
73) (3.5 10-5)(9 108) 73)
A) 0.0315 B) 31,500 C) 0.0125 D) 12,500
Divide. Write the final answer without an exponent.
74)
-14 104
3.5 109 74)
A) -0.00004 B) -0.00005 C)
1
500,000 D)
1
400,000
Divide and write the answer in scientific notation.
75)
3.3 107
5.5 105 75)
A) -2 102 B) 0.6 107/5 C) 0.6 102 D) 6 101
76)
9 10-3
1.5 105 76)
A) 6 102 B) 6 10-2 C) 6 10-8 D) 6 108
Multiply and write the answer in scientific notation.
77) (1.64 10-7)(2 108) 77)
A) 3.28 10-15 B) 3.28 101 C) 3.28 1015 D) 3.28 10-1
78) (1.64 10-7)(2 10-8) 78)
A) 3.28 10-1 B) 3.28 101 C) 3.28 1015 D) 3.28 10-15
79) (4.2 10-4)(6.65 10-7) 79)
A) 10.85 10-11 B) 27.93 10-11 C) 2.793 10-12 D) 2.793 10-10
9
Answer the question.
80) A worm crawls along at a speed of 1.39 10-3 feet per second. How long would it take
the worm to crawl a mile?
80)
A) 3,798,561 seconds B) 12,000,014 seconds
C) 42,018 seconds D) 8,491 seconds
81) In 2001, the population of India was approximately 1.027 109; at that time, the
population of the United States was about 2.781 108. How many more people were
living in India at that time?
81)
A) 37 B) 1,754,000 C) 74,890,000 D) 748,900,000
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
82) How old is someone that has been alive for 2.8 104 days? 82)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
83) How far is a trip that is 2.8 106 inches? 83)
A) 4419 miles B) 22.095 miles C) 44.19 miles D) 88.38 miles
Determine if the given expression a polynomial? Why or why not?
84) -6s3 +
8
3
s + 2 84)
A) No, there is no term containing s2.
B) No, a coefficient of
8
3
is not allowed in a polynomial.
C) No, a coefficient of 2 is not allowed in a polynomial.
D) Yes, the coefficients are real numbers and the exponents are whole numbers.
Categorize the expression as a monomial, a binomial, or a trinomial.
85) 174 197 85)
A) monomial B) trinomial C) binomial
86) 113 19x 86)
A) monomial B) trinomial C) binomial
Answer the question.
87) Which of the following is a fourth-degree polynomial in x and y? 87)
A) 53 6y 5 B) 5x4y4 5 C) 5x4y 62 5 D) 5x3y 62 5
10
88) Given the polynomial 6a3 + 2a2 8a 11,
(i) what is the coefficient of a ?
(ii) what is the degree of the polynomial?
88)
A) (i) 8 (ii) 1 B) (i) 8 (ii) 3 C) (i) -8 (ii) 6 D) (i) -8 (ii) 3
Find the degree of the polynomial.
89) 74 22 + 6x 89)
A) 4 B) 7 C) 3 D) 6
90) 182 154 + 5x 90)
A) 18 B) 4 C) 2 D) -15
91) 3x5y5 76 + 3y3 91)
A) 10 B) 5 C) 6 D) 25
92) 8p6q5 2p4q4 12pq + 6 92)
A) 6 B) 11 C) 8 D) 30
Evaluate the expression for the given values.
93) 2v2 4v + 9 when v = -3 93)
A) 39 B) 15 C) 57 D) 3
94) 82 for x = 7 94)
A) -3136 B) 3136 C) -392 D) 392
95) 22 + 4y 3 when x = 5 and y = -4 95)
A) 81 B) -69 C) 31 D) 63
96) 3x2y2 + 2x2y 4xy2 4xy + 9 when x = -1 and y = 3 96)
A) 90 B) 18 C) 78 D) 66
97) s2 2t3 for s = 3, t = -3 97)
A) 63 B) -18 C) -45 D) 36
Answer the question.
98) An object is thrown upward so that its height, y (in feet), x seconds after being thrown is
given by -162+ 32x + 240. What is the height of the object 1 seconds after being
thrown?
98)
A) 240 ft B) 192 ft C) 0 ft D) 256 ft
11
Add like terms.
99) 2c2 + 9c 15c2 + c 4c 99)
A) -13c2 + 6c B) -7c6 C) -13c4 + 6c2 D) -7c3
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Add the polynomials.
100) (4w2 + 8w) + (3z2 5z) 100)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
101)
6.63 + 3.5x 1.4
+ -4.72 + 4.2x 3.3
101)
A) 6.63 4.72 + 7.7x 4.7 B) 1.93 + 7.7x 4.7
C) 6.63 4.72 + 7.7x + 4.7 D) 9.6x + 4.7
102) (12x3y2 + 24xy + 14) + (3xy 2x3y2 12) 102)
A) 10x6y4 + 27x2y2 + 2 B) 10x3y2 + 27xy + 2
C) 37x4y3 + 2 D) 15x3y2 + 22xy + 2
103) (-10t5 + 9t4 3t3 + 2t + 11) + (-6 3t 3t2 + 3t3 + 3t5) 103)
A) -7t5 + 9t4 3t2 t + 5 B) -7t10 + 9t4 4t2 + 5
C) -7t5 + 9t4 6t3 t + 17 D) -13t5 + 9t4 6t2 t + 5
104) (4p2 8p 12) + (6p2 2p + 10) 104)
A) 10p2 10p 2 B) 10p2 6p + 2
C) 10p2 6p 2 D) 10p2 10p + 2
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
105)
7
2
y
3
+ 2y 1
4
+ 2y3 14y2 +
27
2 105)
12
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Subtract the polynomials.
106)
-9b2 + 4b 4
5b2 + 6b + 6 106)
A) -14b2 + 2b + 10 B) -14b2 10b 2
C) -14b2 2b 10 D) -14b2 + 10b + 2
107) (132 + 8x) (-32 + 2x) 107)
A) 102 + 10x B) 104 + 102 C) 162 + 10x D) 162 + 6x
108) (-4a2b + 3ab2 + ab) (2a2b 3ab2 5ab) 108)
A) -6a2b 4ab B) -6a4b2 4a2b2
C) -6a2b 6ab2 + 6ab D) 2a2b + 6ab2 + 4ab
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
109) (4t3 7t + 13) (-11t3 + t2 + 19t) 109)
110)
7
2
y
3
+ 2y 1
4
2y3 20y2 +
15
2 110)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
111) (2t2 + 5t 5) (5t2 8t 12) 111)
A) 3t2 3t 17 B) -3t2 + 13t + 7 C) -3t2 3t + 7 D) 3t2 + 13t 17
Add the polynomials.
112)
1
7
k2 +
9
4
k
1
2
+
4
7
k2
7
8
k
4
6 112)
A)
5
7
k2 + 1
4
k 5
6 B)
5
7
k2 + 11
8
k 7
6
C)
5
14
k2 1
2
k + 5
8 D) None of the above
Subtract the polynomials.
113) Subtract 14r2 8r + 9 from 4r2 2r 4. 113)
A) -10r2 10r + 5 B) 10r2 10r + 5
C) 10r2 6r + 13 D) -10r2 + 6r 13
13
Multiply.
114) (2m3)(3m2) 114)
A) 6m5 B) 72m6 C) 6m6 D) 72m5
115) (9y6)(-5y4) 115)
A) 4y10 B) 4y24 C) -45y24 D) -45y10
116)
7
3
a5 6
5
a 116)
A)
35
18
a4 B)
14
5
a6 C)
53
15
a6 D)
14
5
a5
117) 2t3(5t4 10t2 + 18) 117)
A) 5t4 + 2t3 10t2 + 18 B) 1012 20t6 + 36t3
C) 107 20t5 + 36t3 D) 10t7 10t2 + 18
118) -5s6(5s4 2s3 + 5s 5) 118)
A) -25s10 2s3 + 5s 5 B) -25s10 + 10s9 25s7 + 25s6
C) -25s10 10s9 + 25s7 25s6 D) -25s24 + 10s18 25s7 + 25s6
119) -x2y 6xy
17
3
x2 +
17
2
y4 119)
A) -6x3y2
17
3
x4y +
17
2
x2y5 B) -6x2y +
17
3
xy5
17
2
xy7
C) -6x3y2 +
17
3
x4y
17
2
x2y5 D) -6x2y +
17
3
x4y
17
2
x2y4
120) 3u4v5(5u2v 9uv2 7u + 4) 120)
A) 15u8v5 27u4v10 21u5v5 12u4v5 B) 15u6v6 27u5v7 21u5v5 + 12u4v5
C) 15u6v5 27u4v7 21u5v5 + 12u4v5 D) 15u6v6 9uv2 7u + 4
121) (9q + 3)(-5q2 + 2q 8) 121)
A) -45q3 + 3q2 66q 24 B) -45q3 + 33q2 78q 24
C) -45q3 + 33q2 66q + 24 D) -15q2 + 15q 24
122) (9z + 5)(z2 3z + 2) 122)
A) 9z3 27z2 + 18z + 10 B) 9z3 22z2 + 3z + 10
C) 9z3 15z2 + 2 D) 10z2 27z + 10
14
123) (y2 + y 3)(2y2 + 2y 1) 123)
A) 2y4 7y2 + 3 B) 2y4 + 2y2 + 3
C) 2y4 + 4y3 5y2 7y + 3 D) 2y4 + 5y3 8y2 + 3y + 3
124) (y- 10)(y + 6) 124)
A) y2 + 16y 60 B) y2 4y 60 C) y2 4y + 60 D) y2 16y + 60
125) (6z 5)(5z 1) 125)
A) 30z2 31z + 5 B) 30z2 31z 5 C) 30z2 19z 5 D) 30z2 19z + 5
126) (2v + 5)(9v 4) 126)
A) 18v2 20 B) 47v 20
C) 18v2 + 37v 20 D) 18v2 37v 20
127) (11t s)(t + 5s) 127)
A) 11t2 + 54st 5s2 B) 11t2 5s2
C) 11t2 + 54st + 5s2 D) 11t2 + 55st 5s2
128) (4x + 7)(6x 10) 128)
A) 242 + 2x 70 B) 10x 70
C) 242 42x 60 D) 242 70
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
129) 1
3
x + 1
5
11
4
2x 129)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Write an expression for the area of the figure.
130) The rectangle may not be drawn to scale.
y 4
y + 6
130)
A) 4y + 8 sq units B) y2 + 2y 24 sq units
C) y2 24 sq units D) 2y + 4 sq units
15
131)
8t + 3
131)
A) 32t + 3
2
sq units B) 16t + 6 sq units
C) 16t + 3
2
sq units D) 32t + 12 sq units
Multiply.
132) (4t + 3)(t + 4)(t + 5) 132)
A) 4t3 + 19t + 60 B) 4t3 + 39t2 + 107t + 60
C) 4t3 + 9t2 + 60 D) 4t3 + 60
133) c2
2
5
d c2 +
2
5
d 133)
A) c2 +
4
25
d2 B) c4
4
5
c2d +
4
25
d2
C) c2
4
5
cd
4
25
d2 D) c4
4
25
d2
134) (2b 5)(2b + 5) 134)
A) 4b2 25 B) 4b2 20b 25
C) 4b2 + 25 D) 4b2 20b + 25
135) (4x + 7y)(4x 7y) 135)
A) 162 56xy + 49y2 B) 162 49y2
C) 162 56xy 49y2 D) 42 7y2
16
Express the area of the square as a polynomial.
136)
5r 3
136)
A) 25r2 9 B) 25r2 30r + 9 C) 25r2 15r + 9 D) 25r2 + 9
Write an expression for the area of the figure.
137) 137)
A)
35
2
t2 + 15
2
t B)
35
2
t2 + 3
2 C) 35t2 + 15t D) 12t + 3
17

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