Algebra 1 Midterm Review Packet #1
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Write the set.
1) E is the set of odd natural numbers between 3 and 10.
A) E = {3, 5, 7, 9}
B) E = {5, 7, 9}
C) E = {3, 5, 7, 9, 10}
D) E = {4, 5, 6, 7, 8, 9}
1)
2)
2) C is the set of integers between -5 and 3.
A) C = {-5, -4, -3, -2, -1, 0, 1, 2}
C) C = {-5, -4, -3, -2, -1, 0, 1, 2, 3}
B) C = {-4, -3, -2, -1, 0, 1, 2}
D) C = {-4, -3, -2, -1, 1, 2}
List all the elements of B that belong to the given set.
5
6
3) B = 16, 5, -15, 0, , - , 6.7, 4
6
5
Integers
A) 16, -15, 0
3)
B) 16, 0, 4
C) 16, -15, 0, 4
D) 16, 0
0
4) B = 5, 6, -10, 0, , 25, 0.57
8
4)
Rational numbers
0
A) 6, , 0.57
8
C)
B) 5, 0, 25
0
D) 5, -10, 0, , 25, 0.57
8
6, 25
Evaluate the expression.
5) 2 2 - 4 3
A) 68
6) 11 + (5 · 4 + 20) ÷ 5
A) 35
7)
5)
B) -8
C) -60
D) -77
B) 19
C) 16
D) 20
6)
4(6) + 6
1 - 8(8)
A) - 16
21
7)
B) - 15
28
C)
10
21
D) - 10
21
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Insert grouping symbols so that the expression has the desired value.
8) 2 + 2 · 8 - 3 results in 12
1
8)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Evaluate the expression using the given value of the variables.
15x - 7y
9)
for x = 7, y = 10
x + 5
A)
101
12
10) b2 - 4ac; a = 3, b = 3, c = 7
A) 105
B)
101
15
9)
C)
35
12
D)
7
3
10)
B) -78
C) -81
D) -75
Solve the problem.
11) If a rock falls from a height of 60 meters above the ground, the height H (in meters) after x seconds
can be approximated using the formula H = 60 - 4.9x2 . Evaluate the expression 60 - 4.9x2 for x = 3
to find the height of the rock after 3 seconds.
A) 45.3 m
B) 15.9 m
Use the Distributive Property to remove the parentheses.
12) -6(r + 4)
A) r - 24
B) -6r + 24
C) 495.9 m
D) -156.09 m
C) -6r - 4
D) -6r - 24
12)
13) (6x + 4)6
A) 36x + 24
B) 12x + 10
C) 60x
D) 36x + 4
14) -(4x - 7z + 6)
A) -4x - 7z - 6
B) -4x + 7z + 6
C) -4x + 7z - 6
D) -4x - 7z + 6
13)
14)
Simplify the expression by combining like terms, if possible.
15) 8b - 2b + 6
A) 10b + 6
B) 6b + 6
C) -6b + 6
15)
D) 12b
16) 12x - x - 5x - x
A) 5x
16)
C) -x2 + 7x
B) x2 + 7x
D) 7x
17)
17) 5a - 7b + 7 + 5b + 2a + 5
A) 7a + 10b - 2
18) -6(2x - 5) - 4x + 7
A) -16x + 37
Solve the equation.
19) -4a = 32
A) {36}
20)
B) 7a 2 - 2b2 + 12
C) 17ab
D) 7a - 2b + 12
B) -16x - 23
C) 8x + 37
D) 16x + 37
B) {-8}
C) {1}
D) {-36}
18)
19)
4
= 2x
7
A)
11)
20)
8
7
B)
7
2
C)
2
2
7
D) - 10
7
Solve the equation. Check your solution.
21) 9r + 3 = 57
A) {45}
B) {3}
22) -18 = -5x + 2
A) {4}
23)
D) {6}
C) {1}
D) {-11}
22)
B) {-15}
3
x + 7 = 6
8
A) - 24)
21)
C) {49}
8
3
23)
B)
3
8
C)
8
3
D) - 3
8
1
1
a - = -2
3
3
A) {-5}
25) -3x - 18 + 4x = 4
A) {22}
26) -8x + 1 + 4x + 10 = 3
2
A)
3
24)
B) {7}
C) {5}
D) {-7}
B) {-22}
C) {14}
D) {-14}
C) - 2
3
D)
2
25)
26)
B) 2
27) 7x - (3x - 1) = 2
1
A) - 4
1
B) - 10
27)
28) -6(4x - 6) = 4
5
A) - 3
4
B) - 3
29) -4x - 3 = -7 - 2x
3
A)
5
C)
1
4
1
D)
10
C)
4
3
5
D)
3
1
B) - 2
C) 2
1
D)
2
30) -6x - 7 = -1 + 4x
1
A)
4
5
B)
3
3
C) - 5
5
D) - 3
31) -45(x + 1) = -9(x + 5)
A) {1}
B) {0}
C) {-45}
D) {-54}
C) {1}
51
D)
37
28)
29)
30)
31)
32) -9x + 7(-3x - 2) = -37 - 7x
A) {- 1}
32)
51
B)
23
3
33)
1
1
(x + 6) = (x + 8)
3
6
A) {-12}
34)
B) {3}
C) {4}
D) {-4}
2x x
- = 5
5
3
A) {-75}
35)
33)
34)
B) {150}
C) {-150}
D) {75}
5n - 5
= 10
4
A) 9
35)
B)
1
7
C)
1
9
D) 7
Solve the problem.
36) A rectangular Persian carpet has a perimeter of 256 inches. The length of the carpet is 30 inches
more than the width. Solve the equation 256 = 2w + 2(w + 30) to find the width, w, of the carpet.
Then find the length, w + 30, of the carpet.
A) Length is 109 in., width is 79 in.
B) Length is 143 in., width is 113 in.
C) Length is 79 in., width is 49 in.
D) Length is 128 in., width is 98 in.
36)
Substitute the given values into the formula and then evaluate to find the unknown quantity. Label units in your
answer. If the answer is not exact, round your answer to the nearest hundredth.
37)
37) P = 2L + 2W; P = 30, W = 7
A) 15 units
B) 11.5 units
C) 8 units
D) 23 units
5
38) Use the formula C = (F - 32) to convert 221° F to degrees Celsius.
9
A) 140.6° C
B) 90.8° C
38)
C) 429.8° C
D) 105° C
r
B) t = d
C) t = d - r
d
D) t = r
B) c = P + a - b
C) c = a + b - P
D) c = P + a + b
B) L = P - W
C) L = P - 2W
P - W
D) L = 2
4x + 3
B) y = 5
3 - 4x
C) y = 5
4x - 3
D) y = 5
Solve the formula for the stated variable.
39) d = rt; solve for t
A) t = dr
40) P = a + b + c; solve for c
A) c = P - a - b
41) P = 2L + 2W; solve for L
P - 2W
A) L = 2
39)
40)
41)
Solve for y.
42) 4x - 5y = 3
A) y = 4x - 3
42)
4
Find the unknown in each percent question.
43) 0.06 is what percent of 60?
A) 0.01%
B) 0.001%
43)
44) What percent of 18 is 0.63?
A) 2857%
B) 3.5%
C) 0.1%
D) 100,000%
C) 48.57%
D) 10%
44)
Solve the problem.
45) 13% of students at a university attended a lecture. If 7000 students are enrolled at the university,
about how many students attended the lecture?
A) 9100 students
B) 91,000 students
C) 910 students
D) 91 students
45)
46) When Milo got promoted at work, he received a 5% pay raise. He now earns $31,500 per year.
What was his annual salary before his raise?
A) $30,000
B) $31,500
C) $1575
D) $1500
46)
47) The local clothing store marks up the price that it pays to the clothing manufacturer by 50%. If the
selling price of a pair of jeans is $119, how much did the clothing store pay for the jeans?
A) $79.33
B) $178.50
C) $238.00
D) $19.83
47)
48) Inclusive of a 7.1% sales tax, a diamond ring sold for $2998.80. Find the price of the ring before the
tax was added. (Round to the nearest cent, if necessary.)
A) $3211.71
B) $212.91
C) $2800
D) $2785.89
48)
49) Two angles are complementary. The second angle measures 64° less than the first angle. What is
the measure of the first angle?
A) 167°
B) 116°
C) 23°
D) 77°
49)
50) Find two supplementary angles such that the first angle is 15° more than 5 times the second.
A) 27.5°; 152.5°
B) 30°; 150°
C) 152.5°; 27.5°
D) 12.5°; 6°
50)
51) A rectangular carpet has a perimeter of 212 inches. The length of the carpet is 82 inches more than
the width. What are the dimensions of the carpet?
A) 94 by 12 inches
B) 94 by 106 inches
C) 100 by 106 inches
D) 59 by 71 inches
51)
52) Find the measure of each angle of the triangle.
52)
x°
(2x + 12)°
A) 45°, 79.5°, 55.5°
(3x - 12)°
B) 30°, 72°, 78°
C) 90°, 57°, 33°
5
D) 60°, 72°, 48°
Answer Key
Testname: ALG1_MT_REV
1) B
2) B
3) C
4) D
5) C
6) B
7) D
8) 2 + 2 · (8 - 3) = 12
9) C
10) D
11) B
12) D
13) A
14) C
15) B
16) A
17) D
18) A
19) B
20) C
21) D
22) A
23) A
24) A
25) A
26) B
27) C
28) C
29) C
30) C
31) B
32) C
33) D
34) D
35) A
36) C
37) C
38) D
39) D
40) A
41) A
42) D
43) C
44) B
45) C
46) A
47) A
48) C
49) D
50) C
6
Answer Key
Testname: ALG1_MT_REV
51) A
52) B
7