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Answers Algebra I Test Review Chapter 1
Name _____________________________ Date __________ Block ______ Number ______
Translate each expressions.
I.)
1.) 4 less than five times a number.
2.) 9 times the sum of 14 and twice a number.
5n – 4
II.)
III.
IV.)

5.)
12
[3 + (6 + 3)]
7.)
3  (0 – 7) + 8

22
-19
y = – 8

6.)
3 + (32 + 9)
8.)
15 + (4 x (6+2)²) – 4
(-3) – 1
–4
267
z = 3
9.)
x2 + y + z2
145
10.)
3z – xy
12.)
2yz – x
-60
13.)
z – y2 + x2 – y
11.)
105
4z – 3z + 2z
9
91
Name the property that each equation illustrates
= 0
15) x2y = 2xy
Multiplicative Property of Zero
17) 4n + 0 = 4n
16) 5(x+y) = 5x + 5y
Distributive Property of
Commutative Property of Multiplication
Multiplication over Addition
1
18) 7x + (9x + 8) = (7x + 9x) + 8
19) 5𝑦 ∙
=1
5𝑦
Associative Property of Addition
Additive Identity
20) 6x + 3x = (6 + 3)x
Distributive Property of
Multiplication over Addition
Multiplicative Inverse
2
2
22) 3 (𝑥𝑦) = (3 𝑥) 𝑦
21) 5 + 8 + 4 = 8 + 5 + 4
Commutative Property of Addition
23) 4 + -4 = 0
24)
1
𝑦
7
∙1=
Associative Property of Multiplication
1
𝑦
7
Multiplicative Identity
Additive Inverse
Classify each number: Use all that apply: Integer (Int), Irrational (Irr), Natural Number (N),
Rational (R), Whole Number (W)
25.)
VI.)
4.) Five-sixths of a number plus 8
𝟓
𝒏+𝟖
𝟔
1
x = 12
Evaluate.
14) 206 ∙ (0)
V.)
9(14 + 2n)
3) the quotient of 9 and a number take away 4
𝟗
𝒏−𝟒
Simplify each expression.
10
Irr
26.)
-0.35
27.)
R
1
28.)
N, W, INT, R
Int, R
Simplify each expression using the Distributive Property
29.)
2x – 7( x – 5)
32.)
−x − 6 + 6(−6x + 10)
-5x + 35
30.)
3y – 5( 5y – 8)
33.)
−2 + 10(5y − 3) − 7y
-22y + 40
31.)
5(4y – 6) – (7y – 12)
34.)
9a − 11a − 3(−4a − 5)
43y – 32
-37x + 54
-52
13y – 18
10a + 15
VII.) Use the Closure Property to determine if each answer will be rational or irrational:
35.
38.
√5) + 7
Irrational
−15 ∙ (−3)
Rational
2 5
36.
∙
Rational
37.
39.
7+ 𝜋
40.
3 9
Irrational
√6 + √8
Irrational
√7 ∙ √11
Irrational