Simplify the expression 3x + 5(x – 9) 3x + 5(1x + -9) 3x + 5·1x + 5·-9 3x + 5x x Warm Up after Exercise 4-2

Splash Screen Homework Review

Example 2 Identify Parts of an Expression 1) 7a + a Answer: The terms are 7a and a. The like terms are 7a and a. The coefficients are 7 and 1. There is no constant. 7a + 1aRemember no coefficient means “1” is the coefficient

Example 2 Identify Parts of an Expression 3) m + 3m + 8 Answer: The terms are 1m, 3m and 8. The like terms are 1m and 3m. The coefficients are 1 and 3. The constant is 8. 1m + 3m + 8Remember no coefficient means “1” is the coefficient

Example 2 Identify Parts of an Expression 5) 9j + 8j – 4 – 7j Answer: The terms are 9j, 8j, -4, and -7j. The like terms are 9j, 8j, and -7j. The coefficients are 9, 8, and -7. The constant is -4. 9j + 8j jRemember add the opposite

Example 2 Identify Parts of an Expression 7) 3q + 2 – 7p Answer: The terms are 3q, 2, and -7p. There are no like terms. The coefficients are 3 and -7. The constant is 2. 3q pRemember add the opposite

Example 2 Identify Parts of an Expression 9) 12a + 3b + 18 – 9a Answer: The terms are 12a, 3b, 18, and -9a. The like terms are 12a and -9a. The coefficients are 12, 3, and -9. The constant is a + 3b aRemember add the opposite

Example 3A Simplify Algebraic Expressions 11). Simplify 5h + h - 4h h. 5h + 1h + -4h h 5h + 1h + -4h + -2h + 1 Group like terms 6h + -4h + -2h + 1 Add 5h and 1h 2h + -2h + 1 Add 6h and -4h 0h + 1 Add 2h and -2h 1 Multiplicative Property of zero

Example 3A Simplify Algebraic Expressions 13). Simplify 5(r + 9) (1r + 9) ∙ 1r + 5 ∙ Distributive Property 5r Multiply (group like terms) 5r + 40Add 45 and -5

Example 3A Simplify Algebraic Expressions 15). Simplify -7(w - 4) + 3w (1w + -4) + 3w ∙ 1w + -7 ∙ w + -27Distributive Property -7w w + -27Multiply -7w + 3w Group like terms -4w Add -7w and 3w -4w + 1Add 28 and -27

Example 3A Simplify Algebraic Expressions 17). Simplify -18(c - 1) (1c + -1) ∙ 1c ∙ Distributive Property -18c Multiply (group like terms) -18c + 0Add 18 and cAdditive Identity

Example 3A Simplify Algebraic Expressions 19). Simplify 5m m. 5m m 5m + 4m + -9Group like terms 9m + -9Add 5m and 4m

Example 3A Simplify Algebraic Expressions 21). Simplify x - 9x x x + -9x x x + -9x +8x Group like terms -8x + 8x Add 1x and -9x 0x Add -8x and 8x Multiplicative property of zero Additive Identity 0 Add 3 and -3

Example 3A Simplify Algebraic Expressions 23). Simplify a a + 3a a a + 3a 5a + -2a + 3a Group like terms 3a + 3a Add 5a and -2a 6a Add 3a and 3a 6a + -9Add -5 and -4 6a – 9 Definition of Subtraction

Example 3A Simplify Algebraic Expressions 25). Simplify 4x x x x x x x + 3x + -9x Group like terms 7x + -9x Add 4x and 3x -2x Add 7x and -9x -2x Add -9 and 6 -2x + -7Add -3 and -4 -2x – 7 Definition of Subtraction

Example 3A Simplify Algebraic Expressions 27). Simplify -11f f f f f f f + -1f + 13f Group like terms -12f + 13f Add -11f and -1f 1f Add -12f and 13f f Multiplicative Identity f Add 6 and 4 f + 1Add 10 and -9

Example 3A Simplify Algebraic Expressions 29). Simplify 1 - s s - 3s s s + -3s s + 2s + -3s Group like terms 1s + -3s Add -1s and 2s -2s Add 1s and -3s -2s Add 1 and 2 -2s + 4Add 3 and 1

End of the Lesson