Download Review Questions for Exam 1 Name___________________________________

Review Questions for Exam 1
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Express the number in terms of powers of the numbers in the expression.
1) 5 · 7 · 5 · 7
A) 5 4 · 7 4
B) 5 · 7
C) 5 2 · 7 2
1)
D) 2(5) · 2(7)
2) 3 · 2 · 3 · 2 · 3
A) 2 · 3
2)
B) 2 2 · 3 3
C) 2(2) · 3(3)
D) 25 · 35
Simplify.
3)
123 + 7
32 - 4
3)
A) 24
B) 26
C) 65
D) 39
4) (3 + 4)2
A) 19
B) 13
C) 25
D) 49
4)
Write the decimal as a fraction or mixed number in lowest terms.
5) 0.88
22
1
1
A)
B)
C)
25
88
7744
5)
22
D)
250
Decide whether the statement is an example of the commutative, associative, identity, inverse, or distributive property.
6) 9 · 2 = 2 · 9
6)
A) Identity
B) Commutative
C) Distributive
D) Associative
Use the indicated property to provide a new expression equal to the given expression. Simplify, if possible.
7) 8 + x; commutative
7)
A) x - 8
B) -x - 8
C) 8 - x
D) x + 8
Simplify the expression.
8) 7g + 20 - 6
A) 7g + 26
8)
B) 21g
C) 7g + 14
D) 7g - 14
C) 8p2 p3
D) 8p2
Simplify the expression by combining like terms.
9) 9p2 + 8p3 - 4p2 - 5p3
A) 5p2 + 3p3
9)
B) 17p2 - 9p3
Write a set representing the description.
10) The integers between 7 and 13
A) {7, 8, 9, 10, 11, 12, 13}
C) {7, 13}
10)
B) {8, 9, 10, 11, 12}
D) {7, 8, 9, 10, 11, 12}
1
Perform the indicated operation.
11) -3 + (-22)
A) 19
11)
C) -19
B) 25
D) -25
Write an English phrase that would translate into the given mathematical expression.
12) 4z + 2
A) Two more than the quotient of a number z and 4
B) Two more than 4 times a number z
C) The sum of number z and 2
D) Four times the sum of a number z and 2
12)
Express the English phrase using an algebraic expression.
13) 23 less a number x
A) 23 - x
B) 23x
C) x + 23
D) 23
Perform the indicated operation.
14) -8.5 - 14.6
A) -6.1
C) 6.1
D) 23.1
C) {2, 4, 6, 8}
D) {2, 4, 6, 8,10, 12}
13)
14)
B) -23.1
Write a set representing the description.
15) The even natural numbers less than or equal to 10
A) {2, 4, 6, 8, 10}
B) {2,4}
15)
Simplify the expression by combining like terms.
3
1
16) - (z - 9) z
7
14
A)
1
27
z2
7
Simplify the expression.
17) -2 - (4 - 3r)
A) 2 - 3r
B)
16)
1
27
z+
2
7
C) -
1
27
z+
2
7
D)
5
z+9
14
17)
B) -2 - 3r
C) 6 + 3r
D) -6 + 3r
Use the indicated property to provide a new expression equal to the given expression. Simplify, if possible.
18) 7 · 1; identity
18)
A) -7
B) -1
C) 7
D) 1
19) (3x + 5y) + 6z; associative
A) (3x + 5y + 6z)
B) 3x + 5y + 6z
C) (5y + 3x) + 6z
D) 3x + (5y + 6z)
20) -8(x + 7); distributive
A) -8x - 56
B) x - 56
C) 8x - 56
D) -8x + 7
19)
20)
Decide whether the statement is an example of the commutative, associative, identity, inverse, or distributive property.
21) 1 + 7 = 7 + 1
21)
A) Identity
B) Distributive
C) Commutative
D) Associative
22) 3 + (-3) = 0
A) Associative
22)
B) Commutative
C) Inverse
2
D) Identity
23) (9 + 5) + 7 = (5 + 9) + 7
A) Associative
23)
B) Distributive
C) Commutative
List the numbers from the set that are of the type indicated.
24) {18, 6, -15, 0}
Real numbers
A) 18, 0
B) 18, -15, 0
D) Identity
24)
C) 18,
6, -15, 0
D) 18
Simplify.
25) -
4
5
A) -
25)
4
5
26) ∣20∣
A) 20
B)
5
4
4
5
D) -
C) -20
D) 0
C)
5
4
26)
B) 40
Write the decimal as a fraction or mixed number in lowest terms.
27) 0.284
1
1
71
A)
B)
C)
284
80,656
25
27)
71
D)
250
28) The correct decimal representation of 1.201 x 10- 7 is:
A) 0.0001201
B) 0.0000001201
C) 12010000
D) 1201.000
E) none of the above
28)
Write the phrase as a mathematical expression. Use x to represent the number. Combine like terms if possible.
29) Four times a number added to 3, subtracted from triple the sum of five times the number and -3.
29)
A) 3(5x - 3) - (3 + 4x); -12 + 11x
B) (3 + 5)(x + -3) - 4(x + 3); -36 + 4x
C) (3 + 4x) - 3(5x - 3); 12 - 11x
D) 4(x + 3) - (3 + 5)(x - 3); 36 - 4x
30) Two times a number, added to the sum of the number and seven.
A) 9x
B) 3x
C) 2x + 7
D) (x + 7) + 2x; 3x + 7
30)
31) Is this statement true or false: the set of negative integers is closed under multiplication?
A) Cannot be determined
B) True
C) False
31)
Find the numerical value of the expression for a) x = 4 and b) x = 18.
x+9
32)
x-3
A) a)
5
3
b)
7
7
B) a) 13 b)
9
5
C) a)
3
32)
9
b) 13
5
D) a)
3
5
b)
7
7
33) x + 5
A) a) 20 b) 90
33)
B) a) 23 b) 9
C) a) 9 b) 23
D) a) 1 b) 13
Evaluate the expression for the given values. If necessary, round to the nearest tenth.
34) 9x2 + 6y x = 5, y = 10
A) 285
35) 6x + 9y + 9; x = 2, y = 5
A) 30
34)
B) 930
C) 2790
D) 2085
B) 57
C) 60
D) 66
35)
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Answer Key
Testname: EXAM 1 PRACTICE
1) C
2) B
3) B
4) D
5) A
6) B
7) D
8) C
9) A
10) B
11) D
12) B
13) A
14) B
15) A
16) C
17) D
18) C
19) D
20) A
21) C
22) C
23) C
24) C
25) A
26) A
27) D
28) B
29) A
30) D
31) C
32) B
33) C
34) A
35) D
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