MathsFreePrintable

Exploring Equations

A free maths 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.

Exploring Equations worksheet preview

Exploring Equations

Mathematical equations and algebra symbols

📚 Part 1: Equation Types

1. Which of these is a linear equation?

x² + 3x = 10

2x + 5 = 11

x³ - 4 = 0

x² - 9 = 0

2. Which of these is a quadratic equation?

3x + 7 = 16

x² - 5x + 6 = 0

2x - 3 = 9

x + 8 = 12

3. Check all the characteristics of linear equations:

The variable has a power of 1

The variable has a power of 2

They have one solution

They can have two solutions

✏️ Part 2: Solving Linear Equations

4. Solve: 2x + 3 = 11

x = _______

5. Solve: x + 4 = 8

x = _______

6. Solve: 3x - 6 = 15

x = _______

7. Solve: 5x + 2 = 17

x = _______

🎯 Part 3: Quadratic Equations

8. Solve by factorising: x² - 5x + 6 = 0

x = _______ or x = _______

9. What are the 'roots' of a quadratic equation?
10. Reflection: How do equations help us make sense of patterns in maths and beyond?

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