Pre-Algebra
Rational Number Operations Review
Name:
Date:
______________________________
____________________ Per.: ______
Study these vocabulary words and phrases:
coefficient
repeating decimal
integer
like terms
rational number
opposite
terminating decimal
constant term
absolute value
term
additive identity
additive inverse
multiplicative identity
Find the opposite and absolute value of the integer.
1) 6
opposite:
2) -11
opposite:
absolute value:
absolute value:
Order the rational numbers from least to greatest.
4) 2.1 , 
3) 9 , -3, -(-4),  1 , -4
13
3
, 1.38 , , 0.3
10
5
Find the sum, difference, product, or quotient.
56
7
5) 4(16)
6) 10  13
7)
9) 7.2  (11.6)
2  5
10)     
7  14 
11) 4.5(20)
8) 21  ( 45)
3
12)   12
5
13) Sarah and Leah are playing a game. In the game, each player starts with 0 points, and the player with the most points at the end
wins. Sarah gains 2 points, loses 5, gains 3, and loses 1. Leah loses 4, gains 1, gains 6, and loses 2. Who wins the game and by
how much?
Match the expressions on the left with the properties on the right.
14) 8 + 0 = 8
A) Commutative Property of Addition
15) (2 5) 4  2(5 4)
B) Multiplicative Identity
16) 9  (1)  1  9
C) Additive Inverse
17) 11 (1)  11
D) Associative Property of Multiplication
18) x y  y x
E) Multiplicative Property of 0
19) (6  z )  7  6  ( z  7)
F) Additive Identity
20) 1 b  b
G) Commutative Property of Multiplication
21) 0 62  0
H) Associative Property of Addition
22) -3 +3 = 0
I) Multiplicative Property of -1
Use the distributive property to write an equivalent expression.
23) 9( y  7)
24) 8(5  x )
25) 3(2m  1)  14
27) Write three other expressions that are equivalent to -6x─ 45.
28) Name the terms, like terms, constant terms and coefficients.
12 j  5  8 j  1
Simplify.
29)
24k  40
8
30)
18n  9
9
26) 6(11  3t )  10t
Rational Number Operations Review Answer Key
1) -6, 6
16) A
2) 11, 11
17) I
3) -4, -3,  1 , -(-4), 9
18) G
4) 1.38 , 
13
3
, 0.3 , , 2.1
10
5
19) H
5) -64
20) B
6) -3
21) E
7) 8
22) C
8) -24
23) 9 y  63
9) 4.4
24) 40  8x
10) 
9
14
11) 90
12)
1
20
13) Sarah lost 1 point and Leah gained 1
point, so Leah won by 2 points.
14) F
15) D
25) 6m  11
26) 66  8t
27) Answers may vary.
28) terms: 12j, -5, -8j, 1
like terms: 12j and -8j, -5 and 1
constant terms: -5 and 1
coefficients: 12 and -8
29) 3k  5
30) 2n  1