1. Simplify the expression 3x + 5(x – 9) 3x + 5(1x + -9) 3x + 5·1x + 5·-9 3x + 5x + -45 8x + -45 Warm Up after Exercise 4-2

2. Splash Screen Homework Review

3. 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

4. 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

5. 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 + -4 + -7jRemember add the opposite

6. 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 + 2 + -7pRemember add the opposite

7. 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 18. 12a + 3b + 18 + -9aRemember add the opposite

8. Example 3A Simplify Algebraic Expressions 11). Simplify 5h + h - 4h + 1 - 2h. 5h + 1h + -4h + 1 + -2h 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

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

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

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

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

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

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

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

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

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

18. End of the Lesson