Systems, Graphing, and Substitution Worksheet
📝 Worksheet medium ⏱️ 20 minutes 8 problems
Systems, Graphing, and Substitution Worksheet
Grade 8 Mathematics LearnCrux.com
Name:
Date:
Directions
- Fill in each blank carefully.
- Circle or mark the best answer for each multiple-choice question.
- Match each prompt to the best option before writing your answer.
- Use the larger space to show your thinking on word problems.
1. The solution to a system of equations is the point where the lines __.
2. Which system has no solution?
3. Match the method to the description: substitution
Match with:
Answer:
4. If a graph shows lines crossing at (3, 11), then the system solution is __.
5. Why is graphing useful when introducing systems?
6. Which situation best fits substitution?
7. If a system represents two plans, the solution often shows when the plans cost the __ amount.
8. Why should the ordered-pair solution be checked in both equations?
📋 Teacher Answer Key
1. intersect
2. two parallel lines
3. replace one variable using an equivalent expression
4. (3, 11)
5. Graphing helps students see that the solution is where both conditions are true at the same point
6. one equation already gives y in terms of x
7. same
8. A system solution must make both equations true, not just one of them