like terms are terms with the same variable and exponent. to simplify expressions with like terms,...

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

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Page 1: Like Terms are terms with the same variable AND exponent. To simplify expressions with like terms, simply combine the like terms

Like Terms are terms with the same variable AND exponent.

To simplify expressions with like terms, simply combine the like terms.

Page 2: 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, 22kYes, the variables are the same.

2) 5ab, 4ba Yes, the order of the variables

doesn’t matter.3) x3y, xy3

No, the exponents are on different variables.

Page 3: Like Terms are terms with the same variable AND exponent. To simplify expressions with like terms, simply combine the like terms

2) 6.1y - 3.23) 4x2y + 6ab4) 3m2n + 10mn2

Here you DO NOTHING

1) 5a + 7

Page 4: Like Terms are terms with the same variable AND exponent. To simplify expressions with like terms, simply combine the like terms

Which of the following is the simplified form of

-4x + 7x ?1. -42. 3x3. -3x4. 4

Answer Now

Page 5: Like Terms are terms with the same variable AND exponent. To simplify expressions with like terms, simply combine the like terms

8x 2 2x2 5a a

The above expression simplifies to:

10x2 6a

8x 2 2x2

5a and a are like termsand are like terms

Page 6: Like Terms are terms with the same variable AND exponent. To simplify expressions with like terms, simply combine the like terms

Which of the following is the simplified form of

5x - 4 - 7x + 14 ?

Answer Now

1. -12x + 102. -2x + 103. 2x - 184. 12x – 18

Page 7: Like Terms are terms with the same variable AND exponent. To simplify expressions with like terms, simply combine the like terms

2) 6.1y - 3.2y

3) 4x2y + x2y

4) 3m2n + 10mn2 + 7m2n - 4mn2

Here you have to Simplify

1) 5a + 7a

Page 8: Like Terms are terms with the same variable AND exponent. To simplify expressions with like terms, simply combine the like terms

The Distributive PropertyThe 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 + caa(b - c) = ab - ac and (b - c) a = ba - ca

Example #15(x + 7)5x + 35

Page 9: Like Terms are terms with the same variable AND exponent. To simplify expressions with like terms, simply combine the like terms

Example #2

3(m - 4)3m - 12

Example #3

-2(y + 3)-2y - 6

Page 10: Like Terms are terms with the same variable AND exponent. To simplify expressions with like terms, simply combine the like terms

Which statement demonstrates the distributive property incorrectly?

1. 3(x + y + z) = 3x + 3y + 3z2. (a + b) c = ac + bc3. 5(2 + 3x) = 10 + 3x4. 6(3k - 4) = 18k - 24

Answer Now

Page 11: Like Terms are terms with the same variable AND exponent. To simplify expressions with like terms, simply combine the like terms

2) 6.1(y - 3.2)3) (4x+y)(-5)4) 2(3m + 10 + 7n)

Here you have to Distribute!

1) 5(a + 7)

Page 12: Like Terms are terms with the same variable AND exponent. To simplify expressions with like terms, simply combine the like terms

Will you Simplify, Distribute, or Do Nothing?

2x + 3y - x Combine Like Terms

17x + 4y Do Nothing

2(4x + 3) Distribute

(-2y + 6)(-5) Distribute

11ab – 3b Do Nothing

2x + 3(4x – 1) BOTH Combine Like Terms and Distribute!

Page 13: Like Terms are terms with the same variable AND exponent. To simplify expressions with like terms, simply combine the like terms

21a + 6b13a + 8a + 6b

Don’t Get Bit!

First, decide if you should Simplify, Distribute, or Do Nothing.

Then do the problem.

Combine Like Terms

4d + 6a2 - d + 12a2 Combine Like Terms 18a2 + 3d

(7x – 9)(-6) Distribute -42x + 54

Page 14: Like Terms are terms with the same variable AND exponent. To simplify expressions with like terms, simply combine the like terms

Bonus! Which of the following is the simplified form of a + 3a - 4(9 - a) ?

Answer Now

1. -362. 3a - 363. 8a - 364. 8a + 36

Page 15: Like Terms are terms with the same variable AND exponent. To simplify expressions with like terms, simply combine the like terms

Distribution Game

• http://www.hstutorials.net/dialup/distributiveProp.htm