1. Warm Up 10/28/13 -2(x – 7) - (x – 4) (4 – x)(-1) 7a(2a – 3)
Simplify each expression.
-2(x – 7)
- (x – 4)
(4 – x)(-1)
7a(2a – 3)

2. Topic: Simplify an expression by Combining Like Terms
Text Section: 1.7
Standard: 8.EE.7
Question /
Key Words
Notes or Solutions to Problems
If a term of an expression consists of a number
multiplied by one or more variables, the number is the coefficient of the term. .
Coefficient:
For example, the coefficient of -3x is -3.
What is the
coefficient?
5xy 5
-3x2 -3 x 1

3. YES No 7x -3x 7x -3y 5y -y 5y 10xy 2yx 2a 3ab Like Terms: Question /
Key Words
Notes or Solutions to Problems
Like Terms:
Like terms have the same variables with each
variable of the same kind raised to the same power
YES No
7x x
7x y
5y y 5y
10xy yx
2a ab

4. Simplified Expression Question / Key Words
Notes or Solutions to Problems
Simplified
Expression
An expression is simplified if it has no grouping
symbols and if all the like terms
have been combined.
Simple words = Combine like terms

5. Identify Like Terms 1) x2 and -7x2 are like terms
Question /
Key Words
Notes or Solutions to Problems
Identify
Like Terms 1)
x2 and -7x2 are like terms
x2 + 3x – 7x2 – 3 – x
3x and -x are like terms 2)
6y + 10 – 5y2 – 4 – y2
-5y2 and –y2 are like terms.
10 and -4 are like terms.

6. Simplify the Expression 3) x2 + 3x – 7x2 – x x2 – 7x2 +3x – x – 6x2
Question /
Key Words
Notes or Solutions to Problems
Simplify the
Expression 3) x2
+ 3x
– 7x2
– x x2
– 7x2
+3x
– x
– 6x2
+ 2x 4) 4
+ 2x
– 3
– 2x
– 5x
+2x
– 2x
– 5x 4
– 3
– 5x
+ 1

7. 6 – 4x + 8 -4x + 14 Simplify the Expression 6 – 4(x – 2) 5) 6
Question /
Key Words
Notes or Solutions to Problems
Simplify the
Expression 6
– 4(x – 2) 5) 6
– 4(x – 2) 6
– 4x
+ 8
-4x
+ 14

8. 6) 5(x + 2) – 4(x – 4) 5(x + 2) – 4(x – 4) 5x + 10 – 4x + 16 x + 26
Question /
Key Words
Notes or Solutions to Problems
Simplify the
Expression 6)
5(x + 2)
– 4(x – 4)
5(x + 2)
– 4(x – 4) 5x
+ 10
– 4x
+ 16 x
+ 26

9. 4 – (x + 2) 1 + 3x 7) 4 – (x + 2) + 3x 4 –1x – 2 + 3x 2x + 2
Question /
Key Words
Notes or Solutions to Problems
Simplify the
Expression 4
– (x + 2) 1
+ 3x 7) 4
– (x + 2)
+ 3x 4
–1x
– 2
+ 3x 2x
+ 2

10. 8) 4x + 2 x + 2 + 4x + 2 + 2x + 4 x + 2 2(2x + 1) 7x + 8 2(x + 2)
Question /
Key Words
Notes or Solutions to Problems
Find the Perimeter 8)
4x + 2 x
+ 2
+ 4x
+ 2
+ 2x
+ 4
x + 2
2(2x + 1) 7x
+ 8
2(x + 2)
2x + 4