Distributive Property & Combining Like Terms

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Combining Like Terms and Distributive Property

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Presentation transcript:

Distributive Property & Combining Like Terms SPI 6.3.4 I CAN rewrite expressions.

Examples of Unlike Terms: Examples of Like Terms:

What are like terms? Like terms because each term consists of a single variable, x, and a numeric coefficient: 2x, 45x, x, 0x, -26x, -x Like terms because they are all constants: 15, -2, 27, 9043, 0.6 Like terms because they are all y² with a coefficient: 3y², y², -y², 26y²

What are unlike terms? The following two terms both have a single variable, but the terms are not alike since different variables are used: 17x, 17z Each y variable in the terms below has a different exponent, therefore these are unlike terms: 15y, 19y², 31y5 Although both terms below have an x variable, only one term has the y variable, thus these are not like terms either: 19x, 14xy

Distributive Property Example: 6(a + 3) Use the Distributive Property (6a) + (6 x 3) Multiply 6a + 18 Simplified ***CAN NOT add 6a + 18 together because they are not like terms.

Distributive Property Step 1) Use the Distributive Property 3 (2x – 5) - 2x Step 2) Combine Like Terms 6x – 15 – 2x *** 6x and 2x are like terms!!!! Step 3) Simplified Expression 4x – 15

Practice Problems Simplify this expression: 4(n+ 6) + 3n?

Practice Problems Solve: 2x + 6(x + 1) Explain how each of the below answers are wrong and why. 2x + 6x + 1 9x

Practice Problems What value of w makes the equation below true? 4w + 5w = 36

What happens when you add = 80 to the problem Practice Problems What happens when you add = 80 to the problem What is the simplified form of the expression below? (12z – 6z) + 3z + 8

Practice Problems Write the following expression in a different way. (a x 7) + (a x 6) + 3 What’s wrong with this answer? 45a