Grade 8 | Unit 4 | Lesson 12: Systems of Equations | Practice Problems

Quiz
•
Mathematics
•
6th Grade
•
Hard
Illustrative Mathematics
FREE Resource
10 questions
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1.
OPEN ENDED QUESTION
3 mins • 1 pt
Here is the graph for one equation in a system of equations: Description: Graph of a line in the x y plane, origin O, with grid. Horizontal axis, scale negative 6 to 6, by 1’s. Vertical axis, scale negative 6 to 6, by 1’s. The line crosses the y axis at 4. It passes through the point 4 comma 1. Write a second equation for the system so it has infinitely many solutions.
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2.
OPEN ENDED QUESTION
3 mins • 1 pt
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3.
OPEN ENDED QUESTION
3 mins • 1 pt
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4.
OPEN ENDED QUESTION
3 mins • 1 pt
Create a second equation so the system has no solutions.
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5.
OPEN ENDED QUESTION
3 mins • 1 pt
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. Description: The graph of two intersecting lines in the x y plane. The first line slants downward and right and passes through the point 4 comma 5 point 5. The second line slants downward and to the right and passes through the point 5 comma 5. The lines intersect at the point 6 comma 4. Name one combination of veggies that weighs 10 pounds but does not cost $17.
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6.
OPEN ENDED QUESTION
3 mins • 1 pt
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. Description: The graph of two intersecting lines in the x y plane. The first line slants downward and right and passes through the point 4 comma 5 point 5. The second line slants downward and to the right and passes through the point 5 comma 5. The lines intersect at the point 6 comma 4. Name one combination of veggies that costs $17 but does not weigh 10 pounds.
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7.
OPEN ENDED QUESTION
3 mins • 1 pt
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. Description: The graph of two intersecting lines in the x y plane. The first line slants downward and right and passes through the point 4 comma 5 point 5. The second line slants downward and to the right and passes through the point 5 comma 5. The lines intersect at the point 6 comma 4. How many pounds each of zucchini and broccoli can Andre get so that he spends all $17 and gets 10 pounds of veggies?
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