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Algebra I Unit 1A Test Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
What is an algebraic expression for the word phrase?
____
1. the quotient of j and 8
a.
b. 8j
c. j – 8
d. j + 8
What is the simplified form of each expression?
____
2.
c. 21952
a.
343
64
b. 64
343
d. 407
What is the simplified form of each expression?
____
3.
a. 585
____
____
4. Evaluate u + xy, for u = 18, x = 10, and y = 8.
a. 188
b. 36
5. Evaluate
a. 294
____
b. 169
6. Evaluate
a. 36
c. 26
d. 181
c. 98
d. 224
, for u = 20, x = 4, y = 7, and z = 10.
b. 198
for a = 4 and b = 3.
b. 24
c. 900
d. 786
c. 81
d. 144
What is the simplified form of each expression?
____
7.
a.
____
____
1
20
b.
1
2
c. 20
8. What is the square root of 61 to the nearest integer?
a. 7
b. 31
c. 8
9. To which subsets of the real numbers does the number 1.68 belong?
a. rational numbers
b. natural numbers, whole numbers, integers, rational numbers
d.
5
2
d. 9
c. rational numbers, irrational numbers
d. none of the above
____ 10. To which subsets of the real numbers does the number 22 belong?
a. whole numbers, natural numbers, integers
b. rational numbers
c. whole numbers, integers, rational numbers
d. integers, rational numbers
____ 11. To which subsets of the real numbers does the number
a. whole numbers, natural numbers, integers
b. irrational numbers
c. rational numbers
d. whole numbers, integers, rational numbers
____ 12. What is an inequality that compares the numbers
a.
>
b.
<
b.
0.7,
,–
,
5
,
3
, 0.7, –
, –0.1, –
5
, 0.7,
3
1
?
2
, –0.1
5
, –0.1
3
from least to greatest?
c.
d.
What property is illustrated by each statement?
____ 14.
a.
b.
c.
d.
and
1
2
1
2
____ 13. What is the order of
a.
belong?
Inverse Property of Multiplication
Multiplication Property of –1
Identity Property of Addition
Identity Property of Multiplication
____ 15. 0 + x = x
a. Identity Property of Addition
b. Multiplication Property of 0
c. Commutative Property of Addition
d. Inverse Property of Multiplication
____ 16. 8 + 3.4 = 3.4 + 8
a. Inverse Property of Addition
b. Associative Property of Addition
c. Commutative Property of Addition
d. Inverse Property of Multiplication
____ 17. 7 + (4 + 4) = (7 + 4) + 4
a. Inverse Property of Addition
–
5
, –0.1, 0.7,
3
–0.1, 0.7,
,
,
,–
5
3
b. Associative Property of Addition
c. Commutative Property of Multiplication
d. Commutative Property of Addition
____ 18.
a.
b.
c.
d.
Associative Property of Addition
Commutative Property of Multiplication
Inverse Property of Multiplication
Commutative Property of Addition
Simplify each expression.
____ 19.
a. − 4 s
5
c. − 5 s
4
b.
d. − 5 g
4
4
5
g
____ 20. (7 + 5b) + 1
a. 7 + 6b
b. 8 + 6b
c. 13b
d. 8 + 5b
____ 21. (ab)c = a(cb).
a. true
b. false
What is each sum?
____ 22.
a.
47
24
b.
−
c.
4
5
65
24
d.
−
5
4
What is each difference?
____ 23. –1.8 – 3.9
a. –2.1
b. 5.7
c. 2.1
d. –5.7
c. –46.24
d. 13.6
What is each product?
____ 24.
a. –13.6
____ 25. What is the value of
a.
15
4
b. 46.24
when x =
and y =
?
c.
27
20
b.
d.
4
3
–
15
4
What is the simplified form of each expression?
____ 26.
1
(21m + 27)
3
a. 63m + 9
b. 7m + 9
____ 27. (2 – 9c)(–8)
a. –16 + 72c
c. 7m + 81
d. 7m + 27
b. 16 + 72c
c. –16 – 72c
d. 16 – 72c
____ 28.
a.
b.
c.
d.
a. 7.8m2 – 1.3n
b. –2.8m2 – 1.3n
c. 7.8m2 + 10.5n
d. –2.8m2 + 10.5n
____ 29.
What sum or difference is equivalent to the expression?
____ 30.
a.
3
1
x+
8
4
b.
c.
1
3
x+
4
8
5
x
8
d.
What is the simplified form of each expression?
____ 31.
a.
b.
c.
Short Answer
Is the statement true or false? If it is false, give a counterexample.
32. For all real numbers
and ,
Problem
Simplify each expression.
33. –10(9n)
.
d.
1
4
Algebra I Unit 1A Test Review
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
DOK:
ANS:
DOK:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
DOK:
ANS:
DOK:
ANS:
DOK:
ANS:
DOK:
ANS:
DOK:
ANS:
DOK:
ANS:
DOK:
ANS:
DOK:
ANS:
DOK:
ANS:
DOK:
ANS:
DOK:
ANS:
DOK:
ANS:
DOK:
A
B
B
C
B
D
B
DOK 1
C
DOK 1
A
D
B
B
C
D
DOK 2
A
DOK 2
C
DOK 2
B
DOK 2
B
DOK 2
A
DOK 1
D
DOK 1
A
DOK 3
A
DOK 1
D
DOK 1
B
DOK 1
A
DOK 1
B
DOK 1
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
L3
L3
L4
L3
L4
L3
L3
NAT:
NAT:
NAT:
NAT:
NAT:
NAT:
NAT:
A.1.a| A.3.b DOK: DOK 1
N.3.a| N.5.e DOK: DOK 1
N.3.a| N.5.e DOK: DOK 1
N.3.a| N.5.e DOK: DOK 1
N.3.a| N.5.e DOK: DOK 1
N.3.a| N.5.e DOK: DOK 1
N.1.d| N.1.g| N.1.i| N.2.b| N.2.d
DIF: L2
NAT: N.1.d| N.1.g| N.1.i| N.2.b| N.2.d
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DOK:
DOK:
DOK:
DOK:
DOK:
NAT:
L3
L3
L3
L3
L2
L3
DOK 2
DOK 2
DOK 2
DOK 2
DOK 2
N.1.d| N.3.d| N.5.f| N.6.a| A.3.d
DIF: L3
NAT: N.1.d| N.3.d| N.5.f| N.6.a| A.3.d
DIF: L3
NAT: N.1.d| N.3.d| N.5.f| N.6.a| A.3.d
DIF: L3
NAT: N.1.d| N.3.d| N.5.f| N.6.a| A.3.d
DIF: L2
NAT: N.1.d| N.3.d| N.5.f| N.6.a| A.3.d
DIF: L3
NAT: N.1.d| N.3.d| N.5.f| N.6.a| A.3.d
DIF: L3
NAT: N.1.d| N.3.d| N.5.f| N.6.a| A.3.d
DIF: L4
NAT: N.1.d| N.3.d| N.5.f| N.6.a| A.3.d
DIF: L4
NAT: N.1.d| N.3.b| N.3.c| N.3.d| A.3.c
DIF: L3
NAT: N.1.d| N.3.b| N.3.c| N.3.d| A.3.c
DIF: L3
NAT: N.1.d| N.3.b| N.3.c| N.3.d| A.3.c
DIF: L4
NAT: N.1.d| N.3.b| N.3.c| N.3.d| A.3.c
DIF: L3
NAT: N.1.d| N.3.b| N.3.c| N.3.d| A.3.c
27. ANS:
DOK:
28. ANS:
DOK:
29. ANS:
DOK:
30. ANS:
DOK:
31. ANS:
DOK:
A
DOK 1
A
DOK 1
A
DOK 1
A
DOK 1
D
DOK 1
DIF: L3
NAT: N.1.d| N.3.b| N.3.c| N.3.d| A.3.c
DIF: L3
NAT: N.1.d| N.3.b| N.3.c| N.3.d| A.3.c
DIF: L4
NAT: N.1.d| N.3.b| N.3.c| N.3.d| A.3.c
DIF: L3
NAT: N.1.d| N.3.b| N.3.c| N.3.d| A.3.c
DIF: L3
NAT: N.1.d| N.3.b| N.3.c| N.3.d| A.3.c
SHORT ANSWER
32. ANS:
False
DIF: L4
NAT: N.1.d| N.3.d| N.5.f| N.6.a| A.3.d
DOK: DOK 3
NAT: N.1.d| N.3.d| N.5.f| N.6.a| A.3.d
DOK: DOK 1
PROBLEM
33. ANS:
–90n
DIF: L3
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