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

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.

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

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

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

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

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

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

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

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

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

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!

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

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

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

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