MathsFreePrintable

Algebraic Formulae Practice

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.

Algebraic Formulae Practice worksheet preview

Algebraic Formulae Practice

Algebraic formulae illustration

📊 Part 1: Substitution Practice

1. Given the formula for the area of a rectangle: A = lw

Find the area when l = 8 metres and w = 5 metres.

Answer: A = _______ square metres

2. Using the speed formula: v = d/t

Calculate the speed when d = 120 kilometres and t = 3 hours.

Answer: v = _______ km/h

3. The formula for the area of a triangle is: A = ½bh

Find the area when the base b = 12 centimetres and height h = 8 centimetres.

Answer: A = _______ square centimetres

4. Multiple Choice: If P = 2l + 2w and l = 7, w = 4, what is P?

11

22

28

56

🔄 Part 2: Rearranging Formulae

5. Rearrange the formula v = d/t to make t the subject.

Answer: t = _____________

6. Rearrange A = lw to make w the subject.

Answer: w = _____________

7. The formula for the perimeter of a rectangle is P = 2l + 2w. Rearrange to make l the subject.

Answer: l = _____________

8. Explain in your own words why we use inverse operations when rearranging formulae:

🌟 Part 3: Real-World Problem Solving

9. Garden Planning Problem

Sarah wants to fence a rectangular garden. The perimeter formula is P = 2l + 2w.

If she has 24 metres of fencing and wants the length to be 8 metres, what will the width be?

Answer: The width will be _______ metres

10. Travel Time Problem

A car travels 180 kilometres at an average speed of 60 km/h. Using the formula t = d/v, calculate the travel time.

Answer: The travel time is _______ hours

11. Temperature Conversion

The formula to convert Celsius to Fahrenheit is: F = (9/5)C + 32

What is the temperature in Fahrenheit when it's 25°C?

Answer: _______ °F

12. Reflection: Choose one problem from this worksheet and explain the steps you used to solve it:

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