Test
Systems of equations by graphing
This material helps 8th-grade students practice solving systems of equations by graphing, focusing on plotting two lines, identifying their intersection, and determining the number of solutions. Students answer questions about intersection points, parallel lines, and the steps involved in graphing to reinforce their understanding.
By Edform · Mathematics · Grade 8 · Published Oct 15, 2026 · New
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Questions
- What does the point where two lines intersect on a graph represent when solving a system of equations?
- If two lines on a graph never intersect, what can you conclude about the system of equations?
- When graphing a system of two linear equations, which result means the system has exactly one solution?
- Put the steps for solving a system of equations by graphing in the correct order.
- Fill in the blank: If two lines have the same slope but different y-intercepts, the system has ___.
- Choose the correct word: If two lines have the same equation, the system has ___.
- Match each system description to the number of solutions.
- A system is given by y = 2x + 1 and y = -x + 4. What is the x-coordinate of their intersection?
- What is the solution to the system y = 3x - 2 and y = x + 2? (Write as an ordered pair, e.g., 1,2)
- Decide if each statement about systems of equations is true or false.
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