CHAPTER 1 Review Exercises^79
Inverse Properties
Distributive Properties
a 1 bc 2 abac1 bc 2 abacaa 1 bc 2 abac1 aZ 021
aa#^1 #a 1
a1
a 1 a 2 0 aa 0915 - 42 = 9152 - 9142
14 + 225 = 4152 + 2152
514 + 22 = 5142 + 5122
- 2 a-
1
2
b= 1 -1
2
1 - 22 = 1
7 + 1 - 72 = 0 - 7 + 7 = 0
CONCEPTS EXAMPLES
1.8 Simplifying Expressions
Only like terms may be combined. We use the distrib-
utive property to combine like terms.
= 14 x- 18= 17 y^2 = 12 + 8 x- 30 + 6 x= 1 - 3 + 6 + 142 y^2 = 4132 + 412 x 2 - 6152 - 61 - x 2- 3 y^2 + 6 y^2 + 14 y^2413 + 2 x 2 - 615 - x 2
REVIEW EXERCISES
CHAPTER 1
1.1 Perform each indicated operation.
1. 2. 3. 4.
The circle graph indicates the fraction of cars in
different size categories sold in the United States in- There were approximately 7618 thousand cars
sold that year.
5.About how many luxury cars, to the nearest
thousand, were sold?
6.To the nearest thousand, how many of the cars
sold were notsmall cars?
3
8
+ 3
1
2
-
3
16
5
8
-
1
6
2
4
5
# 1 1
48
5
,
32
15
Source: World Almanac and Book
of Facts.Luxury
1
6U.S. Car Sales by Size, 2007Large
1
Midsize^10
2
5Small
1
31.2 Find the value of each exponential expression.
7. 8. 9. 10.
Find the value of each expression.14. 15. 16.
615 - 42 + 214 - 22
32 - 14 + 32
9142 - 32
4 # 5 - 17
733 + 613224
8 # 5 - 13 16 + 12 , 4 - 2 20 - 215 + 32
a 1 0.02 22 1 0.1 233
5
b3
54