Create Equations and Inequalities
Create Equations to Represent Relationships
100
Lacy and Sydney are making paper flowers for the junior homecoming float. Lacy makes 6 flowers every minute and Sydney makes 4 flowers every minute. Both girls start at the same time. Write and solve an equation to find the number of minutes, m, it takes Lacy and Sydney to make a total of 600 flowers.
What is 6m+4m = 600 m = 60 minutes
100
Lisette is saving money to buy a car when she turns sixteen. She has $972 already and adds $20 per week from her part time job. Which of the following equations represents this situation if y represents the total amount of money that Lisette has saved? A. y = 20x + 972 B. y = 20x - 972 C. y = -20x - 972 D. y = -20x + 972
What is A
200
2. Kegan wants to buy a new skateboard that will cost $140. So far, Kegan has saved $30 toward the purchase of the skateboard. To raise the remaining money needed, Kegan mows his neighbor’s lawn and charges $10 each time he completes the job. Write an equation to find x, the number of times Kegan mows his neighbor’s lawn. How many times will Kegan need to mow his neighbor’s lawn to have enough money to buy the skateboard?
What is 30 + 10x = 140 x = 11x mowing the lawn
200
Noah has 144 hot dogs to sell at the football game. On average, he sells 31 hot dogs per hour. Write an equation to model this situation.
What is d=144 - 31t, where d = the number of hot dogs sold and t = time in hours
300
Tina scored 94, 68, and 88 on her first 3 Algebra 1 tests. Her next test is her final which counts double. Calculate the minimum grade Tina must score on her final to have an average grade of 80.
What is 75
400
Write an inequality for the statement below. Then graph the solution set. Four less than twice a number is greater than 8.
What is 2x-4 > 8
500
Palm Beach South Middle School’s cafeteria can produce 12 pizzas in one hour, and the cafeteria needs to produce at least 30 pizzas to feed the 6th grade students at the school. In order to make sure that all pizzas are cooked in time for lunch, what is the least amount of time the cafeteria must allow for cooking the pizzas?
What is 2.5 hours
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