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Open Up - Grade 8 - Mathematics - Unit 4 - Lesson 12

Last updated 11 months ago

10 questions

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Question 1

1.

Here is the graph for one equation in a system of equations:
Write a second equation for the system so it has infinitely many solutions.

Question 2

2.

Here is the graph for one equation in a system of equations:
Write a second equation whose graph goes through (0,1) so the system has no solutions.

Question 3

3.

Here is the graph for one equation in a system of equations:
Write a second equation whose graph goes through (0,2) so the system has one solution at (4,1).

Question 4

4.

Create a second equation so the system has no solutions.

y=\frac{3}{4}x-4

Question 5

5.

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.
Name one combination of veggies that weighs 10 pounds but does not cost $17.

Question 6

6.

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.
Name one combination of veggies that costs $17 but does not weigh 10 pounds.

Question 7

7.

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?

Question 8

8.

The temperature in degrees Fahrenheit, F, is related to the temperature in degrees Celsius, C, by the equation

F=\frac{9}{5}C+32
In the Sahara desert, temperatures often reach 50 degrees Celsius. How many degrees Fahrenheit is this?

Question 9

9.

The temperature in degrees Fahrenheit, F, is related to the temperature in degrees Celsius, C, by the equation

F=\frac{9}{5}C+32
In parts of Alaska, the temperatures can reach -60 degrees Fahrenheit. How many degrees Celsius is this?

Question 10

10.

The temperature in degrees Fahrenheit, F, is related to the temperature in degrees Celsius, C, by the equation

F=\frac{9}{5}C+32
There is one temperature where the degrees Fahrenheit and degrees Celsius are the same, so that C=F. Use the expression from the equation, where F is expressed in terms of C, to solve for this temperature.

"Source: Open Up Resouces (Download for free at openupresources.org.)"