1. Goal: Simplify expressions with like terms
1-4 Combining Like Terms
Goal: Simplify expressions with like terms

2. Vocabulary Terms – the parts of the expression
Like Terms – terms that have the same variable raised to the same exponent
Coefficient – the number that is multiplied by a variable
Constant – number without a variable

3. Vocabulary
Combining Like Terms – adding or subtracting the coefficients of terms that have the same variable raised to the same power.
Simplified – all like terms have been combined and there are no parentheses

4. Examples 2x + 3x 5x 12y – 8y 15g + (-12g) 4y -72h – (-12h)
2.3z + (-1.6z) 5x 4y 3g
-60h
0.7z

5. 3x + 8y + 2x – 3y 3x + 8y + 2x + (-3y) 5x 5y 5x + 5y
Combining Like Terms
3x + 8y + 2x – 3y 3x + 8y + 2x + (-3y) 5x 5y 5x + 5y

6. Examples 5x + 6 – 2x 3x + 6 12e + 13e – 5 17b – 21 + 10b 25e – 5
2d d
6.1g + (-3.1g) + 5.2
3x + 6
25e – 5
27b - 21
8d + 5
3g + 5.2

7. Examples 3x + 4 + 2x – 1 5x + 3 4d – 2 – 5d + 3 8x – 2y + 5x + 6y
5a + 3b – 2a - 5b
5x + 3
-1d + 1
13x + 4y
3a – 2b

8. Simplify 14x – 9x.
A. 5x2
B. 23x
C. 5
D. 5x

9. Simplify 6n2 + 7n + 8n.
A. 6n2 + 15n
B. 21n2
C. 6n2 + 56n
D. 62n2

10. Practice
Worksheet “1-4 Adding and Subtracting Expressions”

11. Homework
Pages #29-32, 42-45, 52-54