Opening Routine Ernesto and his family have just finished dinner at a restaurant in a region where the meal tax is 6% of the price of the meal. Ernesto leaves an 18% tip. With tax and tip, the total cost is $72.39. Write the equation that models this situation. Use your equation to find the price of the meal without tax or tip.

Ernesto and his family have just finished dinner at a restaurant in a region where the meal tax is 6% of the price of the meal. Ernesto leaves an 18% tip. With tax and tip, the total cost is $72.39.

Topic 1 – Quantities and Modeling Class 5 – Solving Inequalities Mr. Solórzano – Algebra 1

Standards MAFS.912.A-CED.1.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational exponential functions. MAFS.912.A-REI.2.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters

Objectives Solve inequalities in one variable by using the addition and subtraction properties of inequalities.

Chelsea has $45 to spend at the fair Chelsea has $45 to spend at the fair. She spends $20 on admission and $15 on snacks. She wants to play a game that costs $0.65 per game. Write an inequality to find the maximum number of times, 𝑥, Chelsea can play the game. Using this inequality, determine the maximum number of times she can play the game.

Closing Activity When 3𝑥 + 2 ≤ 5(𝑥 − 4) is solved for x, what is the solution set? The measures of three sides of a triangle can be represented by 2𝑥, 3𝑥−5, and 4𝑥+2. The perimeter of the triangle is 65 inches. Give an equation to represent this situation. Solve for 𝑥. What are the three lengths of the triangle?