M115
Chapter 2 Practice Test
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Choose the word or statement that answers the question.
1) When you use the addition principle to solve an equation, what is true?
A) You add and subtract the same number to both sides of the equation.
B) You subtract the same number from both sides of the equation.
C) You add the same number to both sides of the equation.
D) You add or subtract the same number to both sides of the equation.
2) What is the principle used to solve
7
x = -4?
2
2)
A) Opposite principle
C) Solution principle
B) Addition principle
D) Multiplication principle
3) What is the principle used to solve
9
+ x = -7?
2
3)
A) Addition principle
C) Additive identity principle
Solve the equation.
4) -8p + 7 = -8 - 6p - 6p
A) 2
5) -11.4q + 1.7 = -36.3 - 1.9q
A) 3.5
6)
B) Multiplication principle
D) Multiplicative inverse principle
4
B) 15
15
C) 4
4
D)
15
B) 4
C) 3.3
D) -47
7
1
1 5
x + x = 3x + + x
6
6
3 6
A) -
7)
1)
1
15
8) 0.6(5x + 15) = 2.9 - (x + 3)
118
A) 31
5)
6)
B) -
2
15
C)
1
15
D)
2
21
1
1
8x - 20 = 25x - 10
4
5
A) -1
4)
7)
B)
1
10
40
B) 91
Solve. Label any contradictions or identities.
9) -8(x + 3) + 3x = -5(x + 9) - 3
A) -5
C) 0
C) -10
D) 1
31
C) 118
91
D) 40
B) all real numbers; identity
D) no solution; contradiction
10) 5(x + 2) - 2x - 5 = 5 + 3x
A) all real numbers; identity
C) no solution; contradiction
B) 4
D) 0
1
8)
9)
10)
Solve the formula for the indicated letter.
1 1
11) + = c for b
a b
A) b =
12)
1
-a
c
11)
a
ac - 1
B) b =
C) b = ac -
1
a
D) b =
1
ac
1 1 1
+ =
for c
a b c
A) c = ab(a + b)
13) I = Prt for r (simple interest)
A) r = P - tI
12)
B) c =
a+b
ab
C) c =
P-I
B) r =
1+t
Convert to decimal notation.
16) 45.4%
A) 0.454
D) c = a + b
I
C) r =
Pt
P-1
D) r =
It
C) 0.26 = 37y
D) 37 = 0.26y
B) q · 46 = 79
C) q = 79 · 0.46
D) q = 46 · 0.79
B) 0.0454
C) 4.54
D) 0.344
Choose the most appropriate translation of the question.
14) 26% of what number is 37?
A) 26 = 0.37y
B) 0.37 = 26y
15) 46 is what percent of 79?
A) q · 79 = 46
ab
a+b
17) 830%
A) 8.30
B) 0.83
C) 83
D) 8.31
18) 0.1%
A) 0.001
B) 0.1
C) 0.002
D) 0.01
Convert the decimal notation in the sentence to percent notation.
19) At least one episode of otitis media by the third birthday is experienced by 0.75 of all children.
Source: http://www.nidcd.nih.gov/health/hearing/otitism.asp
A) 0.75%
B) 75%
C) 7.5%
D) 0.075%
20) Property is assessed at 0.11 of market value.
A) 110%
B) 0.11%
C) 11%
D) 1.1%
Convert to percent notation.
21) 3.4
A) 0.34%
B) 0.0034%
C) 340%
D) 34%
22) 0.175
A) 175%
B) 0.0175%
C) 17.5%
D) 0.175%
2
13)
14)
15)
16)
17)
18)
19)
20)
21)
22)
23)
6
20
A) 0.03%
24)
B) 300%
C) 30%
D) 3%
3
4
24)
A) 7.5%
Solve.
23)
25) What is 83% of 145
A) 12.04
B) 0.75%
C) 75%
D) 750%
B) 120.35
C) 12,035
D) 1203.5
C) 372
D) 37,200
26) What number is 120% of 310
A) 3720
B) 37.2
27) 18 is 9% of what number?
A) 20
B) 162
C) 2000
D) 200
28) 199 is 32% of what number?
A) 0.16
B) 16
C) 621.88
D) 6218.8
29) 912 is what percent of 787?
A) 86.3%
B) 1.2%
C) 0.1%
D) 115.9%
30) What percent of 189 is 12.3?
A) 6.5%
B) 0.2%
C) 0.1%
D) 1536.6%
25)
26)
27)
28)
29)
30)
31) During one year, the Green's real estate bill included $269 for city services. The fire department
received 30% of that amount. How much money went to the fire department?
A) $60.70
B) $18.83
C) $80.70
D) $70.00
31)
32) A tax-exempt school group received a bill of $180.83 for educational software. The bill incorrectly
included sales tax of 7%. How much should the school group pay?
A) $24.14
B) $118.30
C) $11.83
D) $169.00
32)
Solve the problem.
33) If Gloria received a 5 percent raise and is now making $22,050 a year, what was her salary before
the raise? Round to the nearest dollar if necessary.
A) $22,000
B) $20,050
C) $20,948
D) $21,000
34) Midtown Antiques collects 2% sales tax on all sales. If total sales including tax are $1219.27, find
the portion that is the tax. Round to the nearest cent if necessary.
A) $23.91
B) $13.91
C) $24.39
D) $1195.36
Solve using the five-step problem-solving process.
35) If 14 is added to a number and the sum is doubled, the result is 19 less than the number. Find the
number.
A) -47
B) 9
C) 5
D) -9
3
33)
34)
35)
36) The sum of twice a number and 12 less than the number is the same as the difference between -32
and the number. What is the number?
A) -10
B) -6
C) -4
D) -5
36)
37) The sum of two consecutive even integers is 78. Find the larger number.
A) 34
B) 36
C) 40
37)
D) 48
38) If the first and third of three consecutive odd integers are added, the result is 45 less than five times
the second integer. Find the third integer.
A) 30
B) 13
C) 17
D) 15
38)
39) The second angle of a triangle is 3 times as large as the first. The third angle is 25° more than the
first. Find the measure of the smallest angle.
A) 65°
B) 31°
C) 25°
D) 155°
39)
40) The complement of an angle measures 78° less than the angle. Find the measure of the angle.
A) 102°
B) 174°
C) 84°
D) 16°
40)
41) Two angles are supplementary. If one angle measures 60° less than twice the measure of its
supplement, find the measure of each angle.
A) 80°, 100°
B) 40°, 50°
C) 40°, 140°
D) 10°, 80°
41)
42) You are traveling to your aunt's house that is 204 miles away. If you are currently twice as far from
home as you are from your aunt's, how far have you traveled?
A) 136 miles
B) 102.0 miles
C) 68 miles
D) 34.0 miles
42)
43) Eric paid $569.27, including 6% tax, for an LCD computer monitor. How much did the computer
monitor itself cost?
A) $605.61
B) $34.16
C) $537.05
D) $536.05
43)
44) The houses on the north side of Perry Street are consecutive odd numbers. Tom and Voula are
next-door neighbors and the sum of their house numbers is 526. Find their house numbers.
A) 263, 265
B) 262, 263
C) 264, 265
D) 262, 264
44)
Insert the symbol <, >, , or
45) -4t -12; t 3
A) <
46) -9z < 27; z
A)
to make the pair of inequalities equivalent.
-3
B)
C)
D) >
B) >
C)
D) <
Classify the pair of inequalities as "equivalent" or "not equivalent."
47) -8f + 7 > 9; -8f > 16
A) Not equivalent
B) Equivalent
48) -4s - 8 < 2; -4s < 10
A) Not equivalent
B) Equivalent
4
45)
46)
47)
48)
Determine whether the given number is a solution of the inequality.
49) x -13, -13
A) No
B) Yes
50) x
-1, 14.2
A) No
49)
50)
B) Yes
Describe the graph using set-builder notation.
51)
A) {x x
51)
B) {x x < -2}
-2}
C) {x x
-2}
D) {x x > -2}
52)
52)
A) {x x > -4}
B) {x x
C) {x x < -4}
-4}
Solve using the addition principle. Graph and write set-builder notation for the answer.
1
4
>
53) x +
21 21
A) x x <
2
7
B) x x >
1
7
C) x x > -
D) x x >
1
7
1
7
5
D) {x x
-4}
53)
54) -9t - 6 -10t - 10
54)
A) {t t -4}
B) {t t > -9}
C) {t t -4}
D) {t t < -9}
Solve using the multiplication principle. Graph and write set-builder notation for the answer.
3
55) -2x < 7
A) x x < -
3
14
B) x x < -
1
7
C) x x >
3
14
D) x x > -
1
7
6
55)
56) -
k
<5
2
56)
A) {k k > -10}
B) {k k -10}
C) {k k < -10}
D) {k k -10}
Solve using the addition and multiplication principles.
57) 0.6x + 19 + x > 2x + 17 - 0.5x
A) {x x < 2}
B) {x x < -20}
C) {x x > -20}
D) {x x 2}
57)
58) 6 - 10y - 9 -11y - 7
A) {y y <-10}
B) {y y -4}
C) {y y >-10}
D) {y y -4}
59) -18r - 27 -3(5r + 16)
A) {r r 7}
B) {r r > 7}
C) {r r 7}
D) {r r < 7}
60)
59)
5
2
2 3
5x - <
6
15
5 5
A) x x < -
4
15
60)
B) x x <
4
15
C) x x
Choose the inequality which describes the sentence.
61) x is at most y
A) x y
B) x > y
62) y is no more than x
A) y < x
58)
4
15
C) y x
B) x < y
Translate the sentence to an algebraic inequality.
63) The cost is no more than $941.36.
A) x 941.36
B) x 941.36
64) A number is less than or equal to -5.
A) x -5
B) x < -5
7
D) x x -
4
15
D) x < y
C) x y
D) y x
C) x < 941.36
D) x > 941.36
C) x > -5
D) x
61)
62)
63)
64)
-5
65) John weighs at least 64 pounds.
A) x > 64
B) x
64
C) x < 64
8
D) x
64
65)
Answer Key
Testname: CH2PRAC
1)
2)
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D
D
A
C
B
B
A
D
D
A
B
C
C
D
A
A
A
A
B
C
C
C
C
C
B
C
D
C
D
A
C
D
D
A
A
D
C
C
B
C
A
A
C
D
C
B
A
B
B
A
9
Answer Key
Testname: CH2PRAC
51)
52)
53)
54)
55)
56)
57)
58)
59)
60)
61)
62)
63)
64)
65)
D
B
B
C
C
A
C
D
A
B
A
D
B
A
D
10