Solving Two-Step Equations - Worksheet 10 - 7th Grade

Hard

Solve two-step equations with rational coefficients (Hard)

23 problems · 15-20 minutes · Skills: equations, inverse operations

About This Worksheet

This hard-level worksheet contains 23 problems designed for 7th Grade students practicing solving two-step equations. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Two-step equations are the workhorse of middle school algebra. Mastering the systematic, reverse-order approach to solving them builds the logical thinking needed for multi-step equations and systems of equations in later courses.

  • Solve two-step equations with integer and rational coefficients
  • Undo operations in the correct reverse order
  • Write and solve two-step equations from word problems
  • Check your solution by substituting it back into the original equation
  • Recognize which operation to undo first based on the structure of the equation

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
14 + 2 =
2
17 + 8 =
3
15 + 9 =
4
14 + 5 =
5
1 + 9 =
6
20 + 10 =
7
3 + 14 =
8
18 + 3 =
9
14 + 18 =
10
15 + 7 =
11
12 + 9 =
12
7 + 1 =
13
10 + 16 =
14
19 + 1 =
15
13 + 19 =
16
7 + 18 =
17
2 + 4 =
18
10 + 20 =
19
16 + 18 =
20
18 + 5 =
21
19 + 11 =
22
7 + 9 =
23
19 + 7 =

Answer Key

1. 162. 253. 244. 195. 106. 307. 178. 219. 3210. 2211. 2112. 813. 2614. 2015. 3216. 2517. 618. 3019. 3420. 2321. 3022. 1623. 26

Frequently Asked Questions

How do I download this solving two-step equations - worksheet 10 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 expressions and equations worksheet cover?

This worksheet focuses on equations, inverse operations. It is designed for 7th 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 23 problems. It typically takes 15-20 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.