Solving Linear Systems

Multiple Choice

Mai earns $7 per hour mowing her neighbors' lawns. She also earned $14 for hauling away bags of recyclables for some neighbors. Priya babysits her neighbor’s children. The table shows the amount of money, (m), that Priya earns in (h) hours.

Priya and Mai have agreed to go to the movies the weekend after they have earned the same amount of money for the same number of work hours. How many hours do they each have to work before they go to the movies?

• 4 hours
• 8 hours
• 6 hours
• 10 hours

Multiple Choice

Mai earns $7 per hour mowing her neighbors' lawns. She also earned $14 for hauling away bags of recyclables for some neighbors. Priya babysits her neighbor’s children. The table shows the amount of money, (m), that Priya earns in (h) hours.

Priya and Mai have agreed to go to the movies the weekend after they have earned the same amount of money for the same number of work hours. How much will each of them have earned?

• $20.00
• $16.80
• $25.30
• $10.50

Open Ended

Mai earns $7 per hour mowing her neighbors' lawns. She also earned $14 for hauling away bags of recyclables for some neighbors. Priya babysits her neighbor’s children. The table shows the amount of money, (m), that Priya earns in (h) hours.

Priya and Mai have agreed to go to the movies the weekend after they have earned the same amount of money for the same number of work hours. Explain where the solution can be seen in tables of values, graphs, and equations that represent Priya's and Mai's hourly earnings.

Multiple Choice

A farm has chickens and cows. All the cows have 4 legs and all the chickens have 2 legs. Altogether, there are 82 cow and chicken legs on the farm. Which of the following combinations of chickens and cows results in 82 total legs?

• 25 chickens and 3 cows
• 19 chickens and 5 cows
• 10 chickens and 7 cows

Multiple Choice

Which combination of veggies weighs 10 pounds but does not cost $17?

• 6 pounds of zucchini and 4 pounds of broccoli
• 7 pounds of broccoli and 3 pounds of spinach
• 8 pounds of zucchini and 2 pounds of carrots
• 5 pounds of zucchini and 5 pounds of broccoli

Multiple Choice

Which combination of veggies costs $17 but does not weigh 10 pounds?

• Cabbage: 4 pounds, Onions: 3 pounds
• Carrots: 5 pounds, Peppers: 2 pounds
• Broccoli: 3 pounds, Zucchini: 4 pounds
• Spinach: 1 pound, Eggplant: 6 pounds

Multiple Choice

Andre is in charge of cooking broccoli and zucchini for a large group. He has to spend all $17 he has and can carry 10 pounds of veggies. Zucchini costs $1.50 per pound and broccoli costs $2 per pound. One graph shows combinations of zucchini and broccoli that weigh 10 pounds and the other shows combinations of zucchini and broccoli that cost $17. How many pounds each of zucchini and broccoli can Andre get so that he spends all $17 and gets 10 pounds of veggies?

• 5 pounds of zucchini and 5 pounds of broccoli
• 8 pounds of zucchini and 2 pounds of broccoli
• 7 pounds of zucchini and 3 pounds of broccoli
• 6 pounds of zucchini and 4 pounds of broccoli

Multiple Choice

Which combination of 8 fruits shown on the graph does not total $10?

• (7 apples, 1 orange)
• (4 apples, 4 oranges)
• The combination of 8 fruits that does not total $10 is (6 apples, 2 oranges).
• (5 apples, 3 oranges)

Multiple Choice

Which combination of fruits shown on the graph totals $10 and does not consist of 8 fruits in total?

• 4 apples and 4 oranges
• 2 apples and 6 oranges
• 5 apples and 5 oranges
• 3 apples and 7 oranges

Multiple Choice

What is the capital of France?

• Berlin
• Madrid
• Rome
• Paris