Warm-up: Simplify |2x – 4| + 3 Homework : pg. 23 (6, 8, 10, 16)

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Presentation transcript:

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)

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. -10 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:

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

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

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

Examples Simplify the expressions

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

Examples Simplify the expressions (even roots)

Examples Simplify the expressions (odd roots)

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