Math Grade 8 Quiz Understanding Systems of Linear Equations & Intersection Points - 8.EE.C.8.A | Tutorified.com Quizzes

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Math Grade 8 Quiz Understanding Systems of Linear Equations & Intersection Points – 8.EE.C.8.A

Systems of linear equations contain multiple lines that are graphed on the same plane. When the graphs of these lines intersect, the intersection point represents a solution that satisfies both equations. If the lines are parallel, there are no solutions because they never intersect. If the lines lie on top of one another, there are infinitely many solutions. Dive into the following questions to test your understanding.

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Question 1 of 10

1. Question
If two linear equations represent the same line, they have:
- A) One solution
- B) No solutions
- C) Infinitely many solutions
- D) Two solutions
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Question 2 of 10

2. Question
Two lines that have the same slope but different y-intercepts will:
- A) Cross at one point
- B) Never cross
- C) Cross at two points
- D) Are the same line
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Question 3 of 10

3. Question
Which system of equations has no solution?
- A) y = x + 2 and y = x – 3
- B) y = 3x + 5 and y = 3x + 7
- C) y = 2x – 1 and y = -x + 2
- D) y = 4x and y = -4x + 8
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Question 4 of 10

4. Question
The solution to the system y = 2x and y = x + 3 is:
- A) (3, 6)
- B) (-3, -6)
- C) (0, 3)
- D) No solution
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Question 5 of 10

5. Question
For which pair of equations is (2,4) a solution?
- A) y = x + 2 and y = -x + 6
- B) y = 2x and y = x + 3
- C) y = 3x – 2 and y = -x + 6
- D) y = x – 2 and y = -x + 4
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Question 6 of 10

6. Question
Which system of equations has an infinite number of solutions?
- A) y = x + 5 and 2y = 2x + 10
- B) y = 3x – 1 and y = 3x + 1
- C) y = 4x + 3 and y = -4x – 3
- D) y = 2x + 2 and y = x + 1
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Question 7 of 10

7. Question
What does the point (3,6) represent for the system y = x + 3 and y = 2x?
- A) Solution for both equations
- B) Solution only for the first equation
- C) Solution only for the second equation
- D) Not a solution for either equation
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Question 8 of 10

8. Question
If a system of linear equations has a solution, this means the lines:
- A) Are parallel
- B) Never intersect
- C) Intersect at one point
- D) Are the same line
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Question 9 of 10

9. Question
Which of the following represents parallel lines?
- A) y = x + 1 and y = x – 2
- B) y = 2x + 3 and y = x + 2
- C) y = 3x – 4 and y = -3x + 4
- D) y = 4x + 5 and y = 4x – 5
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Question 10 of 10

10. Question
What can you say about the system of equations y = 5x + 7 and 2y = 10x + 14?
- A) The lines are parallel
- B) The lines are the same
- C) The lines intersect at one point
- D) The lines intersect at two points
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