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.

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

Here you DO NOTHING

1) 5a + 7

Which of the following is the simplified form of

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

Answer Now

8x 2 2x2 5a a

The above expression simplifies to:

10x2 6a

8x 2 2x2

5a and a are like termsand are 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

2) 6.1y - 3.2y

3) 4x2y + x2y

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

Here you have to Simplify

1) 5a + 7a

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

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 + 3z2. (a + b) c = ac + bc3. 5(2 + 3x) = 10 + 3x4. 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 - 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!

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

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

Distribution Game

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