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Systems Word Problems - Worksheet 4 - 8th Grade

Medium

Model and solve real-world problems using systems of equations (Medium)

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

About This Worksheet

This medium-level worksheet contains 12 problems designed for 8th Grade students practicing systems word problems. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.

Systems word problems represent some of the most powerful mathematical modeling in middle school. Problems involving mixtures, rates, and costs all require two equations — and solving them gives students a real sense of how algebra answers questions that arithmetic cannot.

  • Define two variables to represent two unknowns in a problem
  • Write a system of two equations from contextual information
  • Solve the system and interpret both values in the context of the problem
  • Select the most efficient method (substitution or elimination) for each system
  • Verify that both values satisfy the conditions stated in the original problem

How to Solve: Worked Example

Example Problem: Solve the first problem on the worksheet.
Solution Steps:
  1. Read the problem carefully.
  2. Identify what is being asked.
  3. Use what you know to find the answer.
  4. Check your work.
Answer: See the answer key below
Tip: Take your time and read each problem carefully before answering!
1
3 + 4 =
2
9 + 2 =
3
6 + 8 =
4
7 + 1 =
5
6 + 3 =
6
6 + 5 =
7
5 + 4 =
8
4 + 9 =
9
2 + 3 =
10
7 + 2 =
11
6 + 7 =
12
2 + 4 =

Answer Key

1. 72. 113. 144. 85. 96. 117. 98. 139. 510. 911. 1312. 6

Frequently Asked Questions

How do I download this systems word problems - worksheet 4 worksheet?

Click the "Download PDF / Print" button at the top of the worksheet. 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 12 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.