EXAMPLE 1 Combining Like Terms Simplify the expression

EXAMPLE 1 Combining Like Terms Simplify the expression 7 c + 9 – 3 c = 7 c + 9 + (– 3 c) Write expression as a sum. = 7 c + (– 3 c) + 9 Commutative property of addition = [7 + (– 3)] c + 9 Distributive property = 4 c + 9 Simplify.

EXAMPLE 2 Coefficients, Constant Terms, and Like Terms Identify the coefficients, constant terms, and like terms of the expression x + 4 – 2 x – 10. First, write the expression as a sum: x + 4 + (– 2 x) + (– 10)

EXAMPLE 3 Simplifying an Expression Simplify the expression 5(w – 4) + w + 8 = 5 w – 20 + w + 8 Distributive property = 5 w + (– 20) + w + 8 Write as a sum. = 5 w + (– 20) + 8 Commutative property = 6 w + (– 12) Combine like terms. = 6 w – 12 Rewrite without parentheses.

GUIDED PRACTICE for Examples 1, 2, and 3 Identify the coefficients, constant term(s), and like terms of the expression. Then simplify the expression. 1. – 3 z + 1 + 4 z ANSWER coefficients: – 3, 4; constant term: 1; like terms: – 3 z, 4 z; z +1 2. 15 – 9 r + 7 r – 6 ANSWER coefficients: – 9, 7; constant terms: 15, – 6; like terms: – 9 r, 7 r and 15, – 6; – 2 r +9 3. 2 y + 8 – 2 y – 4 ANSWER coefficients: 2, – 2; constant terms: 8, – 4; like terms: 2 y, – 2 y and 8, – 4; 4

GUIDED PRACTICE for Examples 1, 2, and 3 Identify the coefficients, constant term(s), and like terms of the expression. Then simplify the expression. 4. 16 – 8 k + 9 k – 8 coefficients: – 8, 9; constant terms: 16, – 8; like terms: – 8 k, 9 k and 16, – 8; k + 8 5. 6 a – 18 – 1 – 6 a ANSWER coefficients: 6, – 6; constant terms: – 18, – 1; like terms: 6 a, – 6 a and – 18, – 1; – 19 6. – 7 m + 5 + 2 m ANSWER coefficients: – 7, 2; constant term: 5; like terms: – 7 m, 2 m; – 5 m + 5