What to create	Quiz
Which subject	Mathematics
What age group	Year or Grade 8
What topic	Systems of equations by graphing
Question types	Mixed
Number of questions	15
Number of answers	4
Correct answers	Exactly 1
Show correct answers
Use images (descriptions)
Any other preferences

Grade 8 Mathematics Quiz: Systems of Equations by Graphing

Welcome to your quiz on systems of equations by graphing! Please read each question carefully and select the best answer when applicable. Good luck!

Questions

1. What is the solution to the system of equations represented by the graphs of y = 2x + 1 and y = -x + 4?

   • A. (1, 3)
   • B. (2, 5)
   • C. (3, 7)
   • D. (2, 4)

2. When graphing the system of equations y = 3x - 2 and y = 1/3x + 1, what do you look for?

   • (Open-ended)

3. If the lines represented by the equations y = 4x + 0 and y = 4x - 5 are graphed, what can be said about the system?

   • A. It has a unique solution.
   • B. It has no solutions.
   • C. It has infinitely many solutions.
   • D. It intersects at the y-axis.

4. What are the coordinates of the intersection point of the equations y = x + 2 and y = -2x + 6?

   • A. (2, 4)
   • B. (1, 3)
   • C. (0, 2)
   • D. (3, 5)

5. How do you determine if a system of equations has no solution when graphing?

   • (Open-ended)

6. The equations y = -x + 1 and y = 2x - 4 intersect at what point?

   • A. (1, 0)
   • B. (0, -1)
   • C. (5, 3)
   • D. (3, 1)

7. Which of the following is a true statement about the graphs of y = -3x + 3 and y = 3x - 3?

   • A. They are parallel lines.
   • B. They intersect at one point.
   • C. They are the same line.
   • D. They intersect at infinitely many points.

8. If the solution to the system of equations is (2, -1), what would the equations y = mx + b and y = nx + c look like when graphed?

   • (Open-ended)

9. What is the solution of the system y = 2x + 3 and y = -3x + 1?

   • A. (1, 5)
   • B. (0, 3)
   • C. (-1, 1)
   • D. (-2, -1)

10. If an equation in standard form is ax + by = c, to convert this equation for graphing, what should you solve for?

    • (Open-ended)

11. The intersection of the equations y = 5x + 10 and y = 5x - 2 suggests what about the system?

    • A. The lines intersect at two points.
    • B. The system does not have a solution.
    • C. The lines intersect at one point.
    • D. The lines intersect at infinitely many points.

12. What does the point of intersection represent in a system of equations?

    • (Open-ended)

13. If the equations y = 1/2x + 1 and y = -2x + 5 intersect at (4, 3), which of the following represents the correct calculations for finding the solution?

    • A. Substitute x = 4 in the first equation.
    • B. Substitute y = 3 in the second equation.
    • C. Both A and B.
    • D. Solve for x and y simultaneously.

14. When graphing the system of equations, what is the first step to take?

    • (Open-ended)

15. In the equations y = 2x - 1 and y = -1/2x + 8, what is the point of intersection?

    • A. (3, 5)
    • B. (2, 3)
    • C. (1, 1)
    • D. (4, 7)

Instructions

• For questions with multiple-choice answers, select the letter corresponding to the correct answer.
• For open-ended questions, provide a clear and concise response where required.

Good luck!