This document contains examples of using variables in algebraic expressions and equations. It includes word problems involving variables representing unknown quantities like the number of hours worked, number of bus rides, cost of items, etc. Expressions are written to represent relationships between the variables and known values. Equations are set up and solved for the variable. Sample problems include calculating a tip amount, identifying properties of triangles, writing expressions for daily pay based on hours worked, and determining total costs based on item quantities and per unit prices.

1. Variables Chapter 1.2 Pages 11-15

2. Warm Up Activity Sasha wanted to leave the waiter and 20% tip. The bill for the meal was $23.50. How much did Sasha leave on the table? A triangle has two sides that are congruent (equal) in length. How many angles are congruent? Name the triangle.

3. First Grade Algebra + 6 = 16 5 + = 9 - 5 = 5 8 - = 2

4. Fill in the missing box. The BOX was the variable.

5. What is the variable? x + 6 = 16 5 + t = 9 n - 5 = 5 8 - r = 2

6. Fill in for the variable. John makes $7.00 per hour (h) but chooses to pay a uniform cleaning fee of $3.00 each day he works. How much does he make each day? …

7. $7(h) - $3 7(8) - 3 8 7(6) - 3 6 7(4) - 3 4 Day’s Pay Calculation Number of hours

8. $7(h) - $3 $55 7(8) - 3 8 $39 7(6) - 3 6 $25 7(4) - 3 4 Day’s Pay Calculation Number of hours

9. Write an expression Nancee pays $1.50 to ride the bus each way. She makes $20 each night she sits for her young cousin. How much does she make? Sometimes she gets a ride home for free from her brother.

10. Let (r) be the number of rides she needs. r * $1.50 = $3.00 r * $1.50 = $1.50 Subtract bus fare from the total earned…

11. $20 - 1.5r The order of operations states, do the multiplication first, then subtract.

12. Solve for x. Guess and test. 4x + 3 = 47 7x – 12 = 44

13. These work 4(11) + 3 = 47 7(8) – 12 = 44

14. Pens cost $.30 Pencils cost $.20 How much for 10 pencils? How much for 2 pens and 4 pencils?

15. Total Bill 10 (.20) = $2 2(.30) + 4 (.20) = (.60) + (.80) = $1.40

16. Your Assignment Page 16 – 17 # 11-37, and 45 odds