Simplify by combining like terms

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Distributive Property

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Presentation transcript:

Simplify by combining like terms EXAMPLE 4 Simplify by combining like terms 8x + 3x = (8 + 3)x Distributive property = 11x Add coefficients. 5p2 + p – 2p2 = (5p2 – 2p2) + p Group like terms. = 3p2 + p Combine like terms. 3(y + 2) – 4(y – 7) = 3y + 6 – 4y + 28 Distributive property = (3y – 4y) + (6 + 28) Group like terms. = –y + 34 Combine like terms.

Simplify by combining like terms EXAMPLE 4 Simplify by combining like terms 2x – 3y – 9x + y = (2x – 9x) + (– 3y + y) Group like terms. = –7x – 2y Combine like terms.

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: 2, 5x, –6x2 , 7x, –3 Coefficients: 5 from 5x, –6 from –6x2 , 7 from 7x Like terms: 5x and 7x, 2 and –3 Constants: 2 and –3 Simplify: –6x2 +12x – 1

GUIDED PRACTICE for Example 5 Simplify the expression. 15m – 9m SOLUTION 6m 2n – 1 + 6n + 5 SOLUTION 8n + 4

GUIDED PRACTICE for Example 5 3p3 + 5p2 – p3 SOLUTION 2p3 + 5p2 2q2 + q – 7q – 5q2 SOLUTION –3q2 – 6q

GUIDED PRACTICE for Example 5 8(x – 3) – 2(x + 6) SOLUTION 6x – 36 –4y – x + 10x + y SOLUTION 9x –3y