What does it mean to simplify an expression?

Collect like terms: 3x + 2 + 4x − 5 becomes 7x − 3.

How do I expand brackets?

Multiply every term inside the bracket by the factor outside: 4(2x − 3) = 8x − 12.

Which ages are the algebra worksheets for?

Mainly ages 11–16. Choose 10–12 and easy for a gentle start.

Grade 7–9Curriculum · Maths: algebra

Algebra Worksheets — Free Printable Practice with Answers

Build algebra skills with fresh worksheets: substitute into expressions, simplify, expand brackets, solve equations and continue number patterns.

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Value of an expression · 12-14 years

Name: ____________________

1.Find the value when x = 3: 4x − 2 =

2.A taxi charges 35 kr to start plus 8 kr per km. What does a 10 km ride cost?

3.Find the value when x = 5: 2x − 12 =

4.A cinema card costs 24 kr plus 8 kr per film. Write an expression and find the cost of 7 films.

5.Find the value when x = 3: 8x − 1 =

6.Facts: A delivery costs 10 kr plus 5 kr per kg. Question: What does a 8 kg parcel cost?

7.Find the value when x = 4: x² + 2 =

8.Facts: A plant is 47 cm tall and grows 13 cm per week. Question: How tall is it after 3 weeks?

9.Find the value when x = 3: 6x + 9 =

10.Facts: A candle is 26 cm tall and a stack of 8 wooden blocks, each 7 cm high, stands next to it. Question: How tall are candle and blocks together?

11.Find the value when x = 1: x² + 6 =

12.Facts: A delivery costs 21 kr plus 13 kr per kg. Question: What does a 5 kg parcel cost? Answer with the correct unit.

13.Find the value when x = 7: x² + 7 =

14.A delivery costs 39 kr plus 4 kr per kg. What does a 9 kg parcel cost?

15.Find the value when x = 1: 4x − 7 =

16.Facts: A plant is 13 cm tall and grows 11 cm per week. Question: How tall is it after 5 weeks? Answer with the correct unit.

17.Find the value when x = 1: 8x + 12 =

18.Facts: A taxi charges 29 kr to start plus 4 kr per km. Question: What does a 6 km ride cost?

19.Find the value when x = 4: x² + 12 =

20.Facts: A candle is 7 cm tall and a stack of 5 wooden blocks, each 8 cm high, stands next to it. Question: How tall are candle and blocks together?

Answer key

1. 10
2. 115 kr
3. -2
4. 80 kr
5. 23
6. 50 kr
7. 18
8. 86 cm
9. 27
10. 82 cm
11. 7
12. 86 kr
13. 56
14. 75 kr
15. -3
16. 68 cm
17. 20
18. 53 kr
19. 28
20. 47 cm

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How to use the tool

Choose an algebra exercise type, such as value of an expression or expand brackets.
Pick age and difficulty; harder levels add negative numbers, squares and two variables.
Print or save as PDF. “Create New Version” gives new expressions.

About this generator

Algebra is where pupils learn to use letters as numbers, and these worksheets cover the first steps in a clear order. Value of an expression asks pupils to substitute a number for x in expressions like 3x + 4 or x² + 5, which builds the link between arithmetic and algebra. Simplifying expressions trains collecting like terms, first with one variable and then with both x and y. Expanding brackets practises the distributive law, including negative factors and x(x + 3) at the higher levels. Equations use the balance method, and number patterns ask pupils to find the rule and continue arithmetic and geometric sequences. Word problems show algebra in action, for example a delivery price per kilo, a savings plan that grows every week, or tile patterns where each figure needs more tiles, and the answer key includes units such as kr, cm or tiles. All answers are calculated by the website and each new version is unique.

Popular uses

First lessons with letters as numbers
Collecting like terms and expanding brackets
Pattern spotting and sequences
Revision and homework with answer key

Plan a useful printable

Start with one clear learning goal and choose only the settings that support it. A short, focused sheet is often easier to explain, complete and review than a crowded page. The live preview makes it possible to check spacing, task count and difficulty before paper is used. Create another version when a class needs the same skill with different content.

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Use fewer items, larger writing areas and familiar content for beginners. Increase the amount, range or complexity gradually for confident learners. Teachers can also combine the printable with oral instructions, pair work or a short follow-up discussion. Because every page is customizable, the same activity can support a warm-up, independent practice, homework or revision.

Print clearly and reuse

Choose A4 or US Letter to match the printer, then print at 100 percent whenever exact spacing matters. The PDF option uses the browser print dialog and creates a clean file for later use. Generated content is prepared in the browser, requires no pupil account and has no watermark. Review every sheet before sharing it, especially when you add your own words or text.

Frequently asked questions

What does it mean to simplify an expression?: Collect like terms: 3x + 2 + 4x − 5 becomes 7x − 3.
How do I expand brackets?: Multiply every term inside the bracket by the factor outside: 4(2x − 3) = 8x − 12.
Which ages are the algebra worksheets for?: Mainly ages 11–16. Choose 10–12 and easy for a gentle start.