1. Expressions & Equations Carousel Welcome to Math 6

2. Objectives 1.Apply and extend previous understandings of arithmetic to algebraic expressions. 2.Reason about and solve one- variable equations and inequalities. 3.Represent and analyze quantitative relationships between dependent and independent variables.

3. a.12.25nb.6.50 +5.75n c. 6.50n +5.75d. 6.50n +5.75n Hannah babysits to earn money. She charges $6.50 to babysit for the first hour. She charges $5.75 for each additional hour. Let n equal the number of hours after the first hour. Which expression represents how much Hannah charges? Example 1

4. a. f ≥ 200b. f ≤ 200 c. f > 200d. f > 200 Suppose the weight of a stove and a freezer together weigh at least 370 pounds. The weight f -the stove, is 170 pounds. Which inequality describes these conditions for the weight of the freezer? Example 2

5. a. 2w+6c. 2w+12 b. 4w+6d. 4w+12 The length of a rectangle is 6 inches longer than the width. Which choice is a correct expression for the perimeter of the rectangle? Example 3

6. a. 4x+8yc. x+8y b. 4x+2yd. 8x+8y Which choice is equivalent to the expression 4(x+2y)? Example 4

7. Example 5

8. 1,000(3.50x)1000 3.503.50 Jane wants to visit her sister. Her car travels x miles per gallon of gas. She will travel 1,000 miles to her sister’s house. Gas costs $3.50 per gallon. Which expression shows how much Jane will spend for gas? Example 6

9. Conclusion “Expressions and equations” will become a bigger focus in math 7 and beyond. This is the foundation of algebra. Be sure you review this section carefully.

10. Assignment Websites with great games: http://www.math-play.com/Algebraic- Expressions-Millionaire/algebraic- expressions-millionaire.html http://education.jlab.org/sminequality/