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 + 7TRANSCRIPT
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