1. Warm-up: Simplify |2x – 4| + 3 Homework : pg. 23 (6, 8, 10, 16)
pg. 24 (20b, 21ab, 23b, 27a, 28b, 30a, 32a, 46, 49a, 59, 60, 62, 63, 80a, 81a)

2. a. No. when u and v are on opposite sides of zero on the number line.
Homework Answers:
Pg. 10 (40)
Pg. 12 (75, 79, 84, 85, 8996, 110)
4 - 
a. No. when u and v are on opposite sides of zero on the number line.
b. |u + v| ≤ |u| + |v|
4x3, x, -5
84) a b. 0
85) a. undefined b. 0
multiplicative inverse
additive inverse
distributive property
additive identity
multiplicitive identity
Associative Prop of Addition
95) Associative Prop of Mult.
96) Assoc Prop of Mult
Mult. Inverse
Mult. Identity
110) -14/5
Simplify:

3. Exponents
If b is any real number and n is a positive integer, then the expression bn is defined as the power number
bn = b · b b · · … · b
For example:
If b ≠ 0, we define b0 = 1.
20 = 1 and (–p)0 = 1, but 00 is undefined.
exponent
base
n factors

4. Laws of Exponents Law Example
1. am · an = am + n x2 · x3 = x2 + 3 = x5 2. 3. 4.
5. (ab)m = am · bm (2x)4 = 24 · x 4 = 16x4

5. Laws of Exponents Law Example 6. (am)n = amn (y3)4 = y3· 4 = y12 7.
8. |a2| = |a|2 = a2 |(-2)2| = |-2|2 = (2)2 = 4

6. Examples
Simplify the expressions

7. Laws of Radicals
Law Example 1. 2. 3. 4. 5. 6.

8. Examples
Simplify the expressions (even roots)

9. Examples
Simplify the expressions (odd roots)

10. Homework :
pg. 23 (6, 8, 10, 16)
pg. 24 (20b, 21ab, 23b, 27a, 28b, 30a, 32a, 46, 49a, 59, 60, 62, 63, 80a, 81a)
Sneedlegrit: Simplify