1. Chapter 1
Section 2
Algebra 2

2. Name the sets of numbers to which belongs.
Answer: rationals (Q) and reals (R)
Example 2-1a

3. Name the sets of numbers to which belongs.
The bar over the 9 indicates that those digits repeat forever.
Answer: rationals (Q) and reals (R)
Example 2-1b

4. Name the sets of numbers to which belongs.
lies between 2 and 3 so it is not a whole number.
Answer: irrationals (I) and reals (R)
Example 2-1c

5. Name the sets of numbers to which belongs.
Answer: naturals (N), wholes (W), integers (Z), rationals (Q) and reals (R)
Example 2-1d

6. Name the sets of numbers to which –23.3 belongs.
Answer: rationals (Q) and reals (R)
Example 2-1e

7. Name the sets of numbers to which each number belongs. a. b. c. d.
Answer: rationals (Q) and reals (R)
Answer: rationals (Q) and reals (R)
Answer: irrationals (I) and reals (R)
Answer: naturals (N), wholes (W), integers (Z) rationals (Q) and reals (R)
Answer: rationals (Q) and reals (R)
Example 2-1f

8. Name the property illustrated by .
The Additive Inverse Property says that a number plus its opposite is 0.
Answer: Additive Inverse Property
Example 2-2a

9. Name the property illustrated by .
The Distributive Property says that you multiply each term within the parentheses by the first number.
Answer: Distributive Property
Example 2-2b

10. Name the property illustrated by each equation. a.
Answer: Identity Property of Addition
Answer: Inverse Property of Multiplication
Example 2-2c

11. Identify the additive inverse and multiplicative inverse for –7.
Since –7 + 7 = 0, the additive inverse is 7.
Since the multiplicative inverse is
Answer: The additive inverse is 7, and the multiplicative
inverse is
Example 2-3a

12. Identify the additive inverse and multiplicative inverse for .
Since the additive inverse is
Since the multiplicative inverse is
Answer: The additive inverse is and the multiplicative inverse is 3.
Example 2-3b

13. Answer: additive: –5; multiplicative:
Identify the additive inverse and multiplicative inverse for each number.
a. 5 b.
Answer: additive: –5; multiplicative:
Answer: additive: multiplicative:
Example 2-3c

14. There are two ways to find the total amount spent on stamps.
Postage Audrey went to a post office and bought eight 34-cent stamps and eight 21-cent postcard stamps. How much did Audrey spend altogether on stamps?
There are two ways to find the total amount spent on stamps.
Method 1
Multiply the price of each type of stamp by 8 and then add.
Example 2-4a

15. Answer: Audrey spent a total of $4.40 on stamps.
Method 2
Add the prices of both types of stamps and then multiply the total by 8.
Answer: Audrey spent a total of $4.40 on stamps.
Notice that both methods result in the same answer.
Example 2-4b

16. Chocolate Joel went to the grocery store and bought 3 plain chocolate candy bars for $0.69 each and 3 chocolate-peanut butter candy bars for $0.79 each. How much did Joel spend altogether on candy bars?
Answer: $4.44
Example 2-4c

17. Distributive Property
Simplify
Distributive Property
Multiply.
Commutative Property (+)
Distributive Property
Answer:
Simplify.
Example 2-5a

18. Simplify .
Answer:
Example 2-5b

19. End of Lesson 2