1. Chapter 2: Solving One-step Equations and Inequalities
Section 2-3: Simplifying Variable Expressions

2. Vocabulary!!!!
A Term is a number or the product of a number and variables. A Constant is a term that has no variables. Like Terms have identical variables. A Coefficient is a number that multiplies a variable.
Ex. 7a, 6b, 9
Ex. 1, 3, 7
Ex. 3a, 2a, -4a
Ex. 6a, 8b, 9t

3. Practice!! Name the coefficients, the like terms, and the constants:
4s + 3s – 4x + 6 Coefficients: Like terms: Constants:
3m – 2n + n - 4 Coefficients: Like terms: Constants:
4, 3, -4
3, -2, 1
4s, 3s
-2n, n 6 -4

4. You Try!! Name the coefficients, the like terms, and the constants:
7s + 4s – 2x + 1 Coefficients: Like terms: Constants:
4m – 3n + 2n Coefficients: Like terms: Constants:
7, 4, -2
4, -3, 2
7s, 4s
-3n, 2n 1
None

5. Simplifying Expressions
You Simplify a variable expression by replacing it with an equivalent expression that has as few terms as possible. COMBINE LIKE TERMS!!! Ex. 4x + 2x + 3y 6x + 3y

6. Practice!! Simplify the following:
4s + 3s – 4x + 6 Combine like terms!! 7s – 4x + 6
3m – 2n + n - 4 Combine like terms! 3m – n - 4

7. You Try!! Simplify the following:
4s + 3s – 4s + 6s Combine like terms!! 9s
3m + 2m – m Combine like terms! 4m

8. Practice!! Simplify the following:
4g + 3(3 + g) Use the distributive property! 4g g Combine like terms! 7g + 9
5a + 2(3a + b) Use the distributive property! 5a + 6a + 2b Combine like terms! 11a + 2b

9. You Try!! Simplify the following:
3x + 2(4 + x) Use the distributive property! 3x x Combine like terms! 5x + 8
5a + 2(3a - b) – 3b Use the distributive property! 5a + 6a - 2b – 3b Combine like terms! 11a - 5b

10. Homework!!!!
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1-5, 7-14, 19-29