MathematicsFreePrintable
One-Step Equations Practice
A free mathematics worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.
Name:Date:
One-Step Equations Practice
A hiking club’s supply crate opens when each equation is solved. Use inverse operations to find each value. Check your work by substituting your answer into the original equation.
Crack the Code
Solve each one-step equation. Include the value of the variable.
1.The crate’s first lock shows x + 9 = 23. What is x?
2.A trail counter shows y − 16 = 8. Solve for y.
3.There are n packs with 7 granola bars in each pack. The total is 56 bars: 7n = 56. Find n.
4.A length of rope is cut into 5 equal pieces. Each piece is 6 feet long: r ÷ 5 = 6. How many feet of rope were there?
Solve the Trail Challenges
Remember: adding and subtracting are undone by each other; multiplying and dividing are undone by each other. Negative values are possible.
5.At a chilly campsite, the temperature t is 7 degrees below zero after rising 4 degrees: t + 4 = −7. What was the starting temperature?
- −11°
- −3°
- 3°
- 11°
6.A hiker’s elevation change is represented by 4a = −28. Solve for a.
7.A water jug has w liters before 9 liters are poured out. There are 13 liters left: w − 9 = 13. Find w, then check by substitution.
8.Which equation has the solution p = 6? Choose one and verify it by substitution: A) p + 5 = 12; B) 3p = 18; C) p − 4 = 3.
- A only
- B only
- C only
- A and B
9.Find and fix the mistake: Harper solves q ÷ 3 = 8 by dividing both sides by 3 and gets q = 8/3. What should Harper do instead, and what is q?
10.Create a one-step equation with a solution of −5. Write the equation and show how an inverse operation confirms the solution.
11.Explain why the same operation must be applied to both sides when solving an equation. Include one example from this page.
2 printable pages
Page 1
Page 2
About This Worksheet
Free in Kuraplan
Sign up free, grab the PDF, and customize it for your class.
Print-Ready
Formatted for standard paper. Clean layout, easy to read.
AI-Generated
Created with Kuraplan's AI, designed for real classroom use.
For Teachers & Parents
Use in classrooms, for homework, tutoring, or homeschool.
Need a custom version of this worksheet?
Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.
Generate Custom Worksheets — Free No credit card Curriculum-aligned Under 60 seconds
More Mathematics Worksheets
10th Grade
Linear Equation Solutions
Free
Functions and Relations Classification
Free
9th Grade
Radicals and Exponents Practice
Free
Y-Intercept Answer Key
Free
Understanding Variables Worksheet
Free
6th Grade
Properties in Expressions
Free
6th Grade
Variables in Real Life
Free
7th Grade