Slide 1 : EXAMPLE 4 Simplify by combining like terms = (8 + 3)x Distributive property = 11x Add coefficients. = (5p2 – 2p2) + p Group like terms. = 3p2 + p Combine like terms. = 3y + 6 – 4y + 28 Distributive property = (3y – 4y) + (6 + 28) Group like terms. = –y + 34 Combine like terms.
Slide 2 : EXAMPLE 4 Simplify by combining like terms = (2x – 9x) + (– 3y + y) Group like terms. = –7x – 2y Combine like terms.
Slide 3 : GUIDED PRACTICE for Example 5 8. Identify the terms, coefficients, like terms, and constant terms in the expression 2 + 5x – 6x2 + 7x – 3. Then simplify the expression. SOLUTION Terms: Coefficients: Like terms: Constants: –6x2 +12x – 1 Simplify: 2, 5x, –6x2 , 7x, –3 5 from 5x, –6 from –6x2 , 7 from 7x 5x and 7x, 2 and –3 2 and –3
Slide 4 : GUIDED PRACTICE for Example 5 SOLUTION 6m Simplify the expression. SOLUTION 8n + 4
Slide 5 : GUIDED PRACTICE for Example 5 SOLUTION 2p3 + 5p2 SOLUTION –3q2 – 6q
Slide 6 : GUIDED PRACTICE for Example 5 SOLUTION 6x – 36 SOLUTION 9x –3y