Systems Word Problems - Worksheet 2 - 8th Grade

Easy

Solve two linear equations using a model of the stated quantities.

easy: Start with the preview and follow the worked example.

10 problems · 25-30 minutes · Skills: systems, problem solving, modeling

About This Worksheet

This easy-level worksheet contains 10 problems designed for 8th Grade students practicing systems word problems. Easy worksheets use simpler numbers and straightforward problem types to build confidence and reinforce foundational skills.

Read ordered pairs and solve linear equations using signed arithmetic.

  • Solve two linear equations using a model of the stated quantities.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: Adult tickets cost $9; child tickets cost $5. A group buys 5 tickets for $33. How many of each ticket were bought?
Solution Steps:
  1. Let A and C be ticket counts. A + C = 5.
  2. 9A + 5C = 33.
  3. Substitute C = total − A into the cost equation.
Answer: 2 adult tickets and 3 child tickets
Tip: Check your result using the method in the example before moving to the next question.
1
Adult tickets cost $8; child tickets cost $2. A group buys 3 tickets for $12. How many of each ticket were bought?
2
Adult tickets cost $7; child tickets cost $2. A group buys 3 tickets for $11. How many of each ticket were bought?
3
Adult tickets cost $3; child tickets cost $2. A group buys 5 tickets for $12. How many of each ticket were bought?
4
Adult tickets cost $8; child tickets cost $4. A group buys 5 tickets for $32. How many of each ticket were bought?
5
Adult tickets cost $3; child tickets cost $2. A group buys 2 tickets for $5. How many of each ticket were bought?
6
Adult tickets cost $8; child tickets cost $4. A group buys 3 tickets for $20. How many of each ticket were bought?
7
Adult tickets cost $7; child tickets cost $6. A group buys 4 tickets for $25. How many of each ticket were bought?
8
Adult tickets cost $9; child tickets cost $8. A group buys 6 tickets for $51. How many of each ticket were bought?
9
Adult tickets cost $3; child tickets cost $2. A group buys 4 tickets for $11. How many of each ticket were bought?
10
Adult tickets cost $7; child tickets cost $5. A group buys 4 tickets for $24. How many of each ticket were bought?

Answer Key

1. 1 adult tickets and 2 child tickets2. 1 adult tickets and 2 child tickets3. 2 adult tickets and 3 child tickets4. 3 adult tickets and 2 child tickets5. 1 adult tickets and 1 child tickets6. 2 adult tickets and 1 child tickets7. 1 adult tickets and 3 child tickets8. 3 adult tickets and 3 child tickets9. 3 adult tickets and 1 child tickets10. 2 adult tickets and 2 child tickets

Frequently Asked Questions

How do I download this systems word problems - worksheet 2 worksheet?

Click "Download PDF" for a file, or "Print" to use your browser. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this systems of equations worksheet cover?

This worksheet focuses on systems, problem solving, modeling. It is designed for 8th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 10 problems. It typically takes 25-30 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.