Warm Up 10/28/13 -2(x – 7) - (x – 4) (4 – x)(-1) 7a(2a – 3)

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Warm Up 10/28/13 -2(x – 7) - (x – 4) (4 – x)(-1) 7a(2a – 3) Simplify each expression. -2(x – 7) - (x – 4) (4 – x)(-1) 7a(2a – 3)

Topic: Simplify an expression by Combining Like Terms Text Section: 1.7 Standard: 8.EE.7 Question / Key Words Notes or Solutions to Problems If a term of an expression consists of a number multiplied by one or more variables, the number is the coefficient of the term. . Coefficient: For example, the coefficient of -3x is -3. What is the coefficient? 5xy 5 -3x2 -3 x 1

YES No 7x -3x 7x -3y 5y -y 5y 10xy 2yx 2a 3ab Like Terms: Question / Key Words Notes or Solutions to Problems Like Terms: Like terms have the same variables with each variable of the same kind raised to the same power YES No 7x -3x 7x -3y 5y -y 5y 10xy 2yx 2a 3ab

Simplified Expression Question / Key Words Notes or Solutions to Problems Simplified Expression An expression is simplified if it has no grouping symbols and if all the like terms have been combined. Simple words = Combine like terms

Identify Like Terms 1) x2 and -7x2 are like terms Question / Key Words Notes or Solutions to Problems Identify Like Terms 1) x2 and -7x2 are like terms x2 + 3x – 7x2 – 3 – x 3x and -x are like terms 2) 6y + 10 – 5y2 – 4 – y2 -5y2 and –y2 are like terms. 10 and -4 are like terms.

Simplify the Expression 3) x2 + 3x – 7x2 – x x2 – 7x2 +3x – x – 6x2 Question / Key Words Notes or Solutions to Problems Simplify the Expression 3) x2 + 3x – 7x2 – x x2 – 7x2 +3x – x – 6x2 + 2x 4) 4 + 2x – 3 – 2x – 5x +2x – 2x – 5x 4 – 3 – 5x + 1

6 – 4x + 8 -4x + 14 Simplify the Expression 6 – 4(x – 2) 5) 6 Question / Key Words Notes or Solutions to Problems Simplify the Expression 6 – 4(x – 2) 5) 6 – 4(x – 2) 6 – 4x + 8 -4x + 14

6) 5(x + 2) – 4(x – 4) 5(x + 2) – 4(x – 4) 5x + 10 – 4x + 16 x + 26 Question / Key Words Notes or Solutions to Problems Simplify the Expression 6) 5(x + 2) – 4(x – 4) 5(x + 2) – 4(x – 4) 5x + 10 – 4x + 16 x + 26

4 – (x + 2) 1 + 3x 7) 4 – (x + 2) + 3x 4 –1x – 2 + 3x 2x + 2 Question / Key Words Notes or Solutions to Problems Simplify the Expression 4 – (x + 2) 1 + 3x 7) 4 – (x + 2) + 3x 4 –1x – 2 + 3x 2x + 2

8) 4x + 2 x + 2 + 4x + 2 + 2x + 4 x + 2 2(2x + 1) 7x + 8 2(x + 2) Question / Key Words Notes or Solutions to Problems Find the Perimeter 8) 4x + 2 x + 2 + 4x + 2 + 2x + 4 x + 2 2(2x + 1) 7x + 8 2(x + 2) 2x + 4