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Systems of Equations- Graphing

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Last updated almost 6 years ago
15 questions
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Question 1
1.


Which equation below represents the following graph?
*Remember, we use slope intercept form, y=mx+b where m represents the slope and b represents the y-intercept.

Question 2
2.

Graph the following equation

To graph a straight line, plot two points you'd find on the line and use the line tool to connect the two points.

Question 3
3.

Clare and Andre are making signs for all the lockers as part of the decorations for the upcoming spirit week. Yesterday, Andre made 15 signs and Clare made 5 signs. Today, they need to make more signs. Each person's progress today is shown in the coordinate plane.
What does Point A mean in the context of the problem? Make sure to use good Mathematical Vocabulary!

Question 4
4.

As you can recall, solutions of an equation lie on the graph of the equation.


Which of the following points are a solution to line f ?
Select all that apply.

Question 5
5.

Which of the following coordinates is a solution for both equations found on the graph above?

Question 6
6.


Give a solution (as an ordered pair) to the system of equations graphed above.

Question 7
7.

(-2,-2) is a solution for which if the following graphed system of equations?

Question 8
8.

Use the graph to find x and y values that make both


and
true. Write your solution as an ordered pair.

To graph a straight line, plot two points you'd find on the line and use the line tool to connect the two points.

Question 9
9.

The following system has no solutions.




Explain how you know this statement is true. Make sure to use good Mathematical Vocabulary.

Question 10
10.

Here is a graphed system of equations:




What is the solution to this system? Explain how you know. Use mathematics to justify your answer.

Question 11
11.

The following system has infinite solutions.




Explain how you know this statement is true. Make sure to use good Mathematical Vocabulary.

Question 12
12.

Solve the system by graphing. Write your answer next to the graph.


Question 13
13.

Solve the system by graphing. Write your answer next to the graph.


Question 14
14.

Solve the system by graphing. Write your answer next to the graph.


Question 15
15.

Solve the system by graphing. Write your answer next to the graph.