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Published byAleesha Norman Modified over 8 years ago

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Like Terms are terms with the same variable AND exponent. To simplify expressions with like terms, simply combine the like terms.

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Are these like terms? 1) 13k, 22k Yes, the variables are the same. 2) 5ab, 4ba Yes, the order of the variables doesn’t matter. 3) x 3 y, xy 3 No, the exponents are on different variables.

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2) 6.1y - 3.2 3) 4x 2 y + 6ab 4) 3m 2 n + 10mn 2 Here you DO NOTHING 1) 5a + 7

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Which of the following is the simplified form of -4x + 7x ? 1.-4 2.3x 3.-3x 4.4 Answer Now

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The above expression simplifies to: 5a and a are like terms and are like terms

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Which of the following is the simplified form of 5x - 4 - 7x + 14 ? Answer Now 1.-12x + 10 2.-2x + 10 3.2x - 18 4.12x – 18

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2) 6.1y - 3.2y 3) 4x 2 y + x 2 y 4) 3m 2 n + 10mn 2 + 7m 2 n - 4mn 2 Here you have to Simplify 1) 5a + 7a

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The Distributive Property The process of distributing the number on the outside of the parentheses to each term on the inside. a(b + c) = ab + ac and(b + c) a = ba + ca a(b - c) = ab - acand(b - c) a = ba - ca Example #1 5(x + 7) 5x + 35

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Example #2 3(m - 4) 3m - 12 Example #3 -2(y + 3) -2y - 6

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Which statement demonstrates the distributive property incorrectly? 1.3(x + y + z) = 3x + 3y + 3z 2.(a + b) c = ac + bc 3.5(2 + 3x) = 10 + 3x 4.6(3k - 4) = 18k - 24 Answer Now

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2) 6.1(y - 3.2) 3) (4x+y)(-5) 4) 2(3m + 10 + 7n) Here you have to Distribute! 1) 5(a + 7)

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Will you Simplify, Distribute, or Do Nothing? 2x + 3y - xCombine Like Terms 17x + 4yDo Nothing 2(4x + 3)Distribute (-2y + 6)(-5)Distribute 11ab – 3bDo Nothing 2x + 3(4x – 1)BOTH Combine Like Terms and Distribute!

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21a + 6b 13a + 8a + 6b Don’t Get Bit! First, decide if you should Simplify, Distribute, or Do Nothing. Then do the problem. Combine Like Terms 4d + 6a 2 - d + 12a 2 Combine Like Terms 18a 2 + 3d (7x – 9)(-6) Distribute -42x + 54

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Bonus! Which of the following is the simplified form of a + 3a - 4(9 - a) ? Answer Now 1.-36 2.3a - 36 3.8a - 36 4.8a + 36

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Distribution Game http://www.hstutorials.net/dialup/distributiv eProp.htmhttp://www.hstutorials.net/dialup/distributiv eProp.htm

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