Math Grade 8 Quiz Solving Systems of Linear Equations Algebraically and Graphically – 8.EE.C.8.B
Solving a system of two linear equations means finding values for x and y that satisfy both equations at the same time. These systems can be solved in various ways, including algebraically through substitution or elimination, and graphically by plotting the lines and identifying their intersection point(s). Sometimes, the solution can be identified immediately upon inspection, especially if there’s an inconsistency in the system. Let’s dive deeper into the topic with the following questions.
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Question 1 of 10
1. Question
Which system of equations has no solution?
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Question 2 of 10
2. Question
What is the solution to the system y = 2x and y = x + 3?
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Question 3 of 10
3. Question
For the system 2x + 3y = 6 and x + y = 3, by substitution, the value of y is:
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Question 4 of 10
4. Question
Which pair of equations is consistent and independent?
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Question 5 of 10
5. Question
The system of equations x + 2y = 7 and 3x + 6y = 9 has:
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Question 6 of 10
6. Question
Solve the system by inspection: x – y = 0 and x + y = 4
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Question 7 of 10
7. Question
What is the graphical interpretation of a system of equations that has no solution?
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Question 8 of 10
8. Question
Which system has infinitely many solutions?
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Question 9 of 10
9. Question
For the system y = 3x – 2 and y = -x + 4, the solution is:
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Question 10 of 10
10. Question
The system 3x + 2y = 6 and x – 2y = 4 can be solved using:
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