warm-up jim makes $5.75 an hour. each week, 26% of his total pay is deducted for taxes. write an...
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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
Creating Linear Equations and Inequalities in One Variable
Adapted from Walch
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.
Essential Question
How do I create equations and inequalities in one variable and use them to solve problems arising from linear and exponential functions?
Words to Know Equation Inequality Solution Solution set Variable
Equation
A mathematical sentence that uses an equal sign (=) to show that two quantities are equal.
Inequality
A mathematical sentence that shows the relationship between quantities that are not equivalent.
Solution
A value that makes an equation true.
The solution is x = 2
Solution set
The value or values that make a sentence or statement true.
The solution set is any number less than 2
Creating Equations or Inequalities from Context
1. Drawing a Sketch (if necessary)2. Defining a Variable (What is the
question asking)3. Setting up an equation or
inequality4. Solve the equation or inequality5. Make sure you answer the
question
ExampleJames 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 $460.65. How many hours did James work?
ExampleIt 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 $350.38 for his access fee, taxes, and his initial installation. What is Justin’s monthly access fee not including taxes?
ExampleJuan 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?
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