MA.912.A.3.5: Symbolically represent and solve multi-step and real-world applications that involve linear equations

# MA.912.A.3.5: Symbolically represent and solve multi-step and real-world applications that involve linear equations

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## MA.912.A.3.5: Symbolically represent and solve multi-step and real-world applications that involve linear equations

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1. Algebra 1 Mini-Lessons Marilyn spent a total of \$52.34 on two new outfits. She bought two shirts for \$12.99, a pair of pants of \$18.50, and a skirt. If the sales tax rate was 7.5%, how much did she pay for the skirt? • \$ 4.21 • \$ 7.85 • \$ 17.20 • \$ 20.84 MA.912.A.3.5: Symbolically represent and solve multi-step and real-world applications that involve linear equations and inequalities.

2. Algebra 1 Mini-Lessons John is buying raffle tickets at a basketball game. During halftime, the winning ticket will be drawn, and the winner will receive a video game console. John brought \$50 with him to the game, but he spent \$12 to get into the game and \$7 on food and a soda. If each raffle ticket costs \$3.75, what is the maximum number of raffle tickets he can buy? A. 7 B. 8 C. 9 D. 10 MA.912.A.3.5: Symbolically represent and solve multi-step and real-world applications that involve linear equations and inequalities.

3. Algebra 1 Mini-Lessons Juan wants to make a trail mix that contains 40% pecans. He has a bag of trail mix that has only 25% pecans at home and another bag that contains only pecans. How much of each should he mix together to make a 16-oz bag of trail mix that contains 40% pecans? • 8 oz of 25% trail mix and 8 oz of pecans • 12 oz of pecans and 4 oz of 25% trail mix • 12.8 oz of 25% trail mix and 3.2 oz of pecans • 12.8 oz of pecans and 3.2 oz of 25% trail mix MA.912.A.3.5: Symbolically represent and solve multi-step and real-world applications that involve linear equations and inequalities.

4. Algebra 1 Mini-Lessons Chocolate candy bars are on sale for \$1.90 each at the supermarket. Jerome decides to take advantage of the sale and stock up. He brought \$50 with him to the store, but he spends \$3 on milk, \$5 on a salad, and \$2 on bread. What is the maximum number of chocolate candy bars he can buy? A. 19 B. 20 C. 21 D. 22 MA.912.A.3.5: Symbolically represent and solve multi-step and real-world applications that involve linear equations and inequalities.

5. Algebra 1 Mini-Lessons On Friday, Auriel had \$45 in her wallet. That night, she went to the movies and spent \$9.50 on a ticket, \$3.25 on a soda, and \$2.75 on a box of chocolate-covered raisins. On Saturday, she bought two used books, each for the same price. When Auriel got home from the bookstore, she had only \$2 left in her wallet. If Auriel did not make any other purchases, and sales tax rate on the books was 7.5%, what was the price of each book before tax? • \$12.79 • \$13.75 • \$25.58 • \$27.50 MA.912.A.3.5: Symbolically represent and solve multi-step and real-world applications that involve linear equations and inequalities.

6. Algebra 1 Mini-Lessons Ticket sales for Friday night's theatre performance at school totaled \$850. There were a total of 145 tickets sold that night. If adult tickets cost \$7.50 each and student tickets cost \$5.00 each, how many adult and student tickets were sold? • 50 adult tickets and 95 student tickets • 72 adult tickets and 73 student tickets • 73 adult tickets and 72 student tickets • 95 adult tickets and 50 student tickets MA.912.A.3.5: Symbolically represent and solve multi-step and real-world applications that involve linear equations and inequalities.

7. Algebra 1 Mini-Lessons Jasmine earns \$8.15 per hour at her part-time job. She is saving for a new laptop that costs \$1200, including taxes. If 16% of her paycheck is taken out for taxes, what is the minimum number of hours she needs to work to have enough money for the laptop? A. 180 B. 176 C. 175 D. 170 MA.912.A.3.5: Symbolically represent and solve multi-step and real-world applications that involve linear equations and inequalities.

8. Algebra 1 Mini-Lessons According to the plan outlined in the table, total annual health care costs, C, depend on the employee’s medical expenses for that year. If x represents the total medical expenses of an employee on this plan and x 500, which of the following equations can be used to determine this employee’s total health care costs for that year? MA.912.A.3.5: Symbolically represent and solve multi-step and real-world applications that involve linear equations and inequalities.