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 -

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Presentation transcript:

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. 5+4= 3 2

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

𝑥+5=7 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. 𝑥+5<7 The solution set is any number less than 2

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

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 $460.65. How many hours did James work?

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 $350.38 for his access fee, taxes, and his initial installation. What is Justin’s monthly access fee not including taxes?

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?