1. Warm-up
Jim makes $5.75 an hour. Each week, 26% of his total pay is deducted for taxes. Write an expression for the amount Jim has after taxes. 5.75h - .26(5.75h) 4.255h

2. Creating Linear Equations and Inequalities in One Variable
Adapted from Walch

3. Standard
MCC9-12.A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and exponential functions.

4. Essential Question
How do I create equations and inequalities in one variable and use them to solve problems arising from linear and exponential functions?

5. Words to Know
Equation
Inequality
Solution
Solution set
Variable

6. Equation
A mathematical sentence that uses an equal sign (=) to show that two quantities are equal.
5+4= 3 2

7. Inequality
A mathematical sentence that shows the relationship between quantities that are not equivalent.
7−4 ≥ −15

8. 𝑥+5=7 Solution A value that makes an equation true.
The solution is x = 2

9. Solution set
The value or values that make a sentence or statement true.
𝑥+5<7
The solution set is any number less than 2

10. Creating Equations or Inequalities from Context
Drawing a Sketch (if necessary)
Defining a Variable (What is the question asking)
Setting up an equation or inequality
Solve the equation or inequality
Make sure you answer the question

11. Example
James earns $15 per hour as a teller at a bank. In one week he pays 17% of his earnings in state and federal taxes. His take-home pay for the week is $ How many hours did James work?

13. Example
It cost Justin $100 to have cable TV installed in his house. Each month he pays an access fee plus tax of 7% of his monthly bill. After 6 months, Justin had paid a total of $ for his access fee, taxes, and his initial installation. What is Justin’s monthly access fee not including taxes?

15. Example
Juan has no more than $50 to spend at the mall. He wants to buy a pair of jeans and some juice. If the sales tax on the jeans is 4% and the juice with tax costs $2, what is the maximum price of jeans Juan can afford?