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Grade 7–9Common Core (CCSS) · Math: 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: ____________________

Worked example

  1. The goal: work out what number the expression gives when the letter has a given value.
  2. Replace the letter with the given value. Example: 3x + 2 where x = 4.
  3. Substitute: 3 × 4 + 2.
  4. Calculate: 12 + 2 = 14. Answer: 14.
  5. Check: read the question again. Does your answer give what was asked, with the right unit? Work backwards to see that it fits. ✓
Example: how to solve it
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? Answer with the correct unit.

3.

Find the value when x = 2: x² + 1 =

4.

A delivery costs 28 kr plus 6 kr per kg. What does a 5 kg parcel cost? Answer with the correct unit.

5.

Find the value when x = 3: x² + 6 =

6.

A taxi charges 18 kr to start plus 2 kr per km. What does a 4 km ride cost? Answer with the correct unit.

7.

Find the value when x = 4: 3(x + 9) =

8.

A candle is 9 cm tall. 8 wooden blocks, each 6 cm high, are stacked on top of it. How tall is the candle and block stack? Answer with the correct unit.

9.

Find the value when x = 1: 4(x + 2) =

10.

A taxi charges 33 kr to start plus 6 kr per km. What does a 7 km ride cost? Answer with the correct unit.

11.

Find the value when x = 4: 7x − 11 =

12.

A delivery costs 7 kr plus 10 kr per kg. What does a 7 kg parcel cost? Answer with the correct unit.

13.

Find the value when x = 7: 4(x + 6) =

14.

A candle is 48 cm tall. 10 wooden blocks, each 6 cm high, are stacked on top of it. How tall is the candle and block stack? Answer with the correct unit.

15.

Find the value when x = 7: x² + 10 =

16.

A taxi charges 19 kr to start plus 8 kr per km. What does a 2 km ride cost? Answer with the correct unit.

17.

Find the value when x = 4: 4x + 10 =

18.

A candle is 22 cm tall. 4 wooden blocks, each 6 cm high, are stacked on top of it. How tall is the candle and block stack? Answer with the correct unit.

19.

Find the value when x = 7: 9x + 3 =

20.

A cinema card costs 29 kr plus 8 kr per film. What is the total cost for 2 films? Answer with the correct unit.

Answer key

  1. 1. 10
  2. 2. 115 kr
  3. 3. 5
  4. 4. 58 kr
  5. 5. 15
  6. 6. 26 kr
  7. 7. 39
  8. 8. 57 cm
  9. 9. 12
  10. 10. 75 kr
  11. 11. 17
  12. 12. 77 kr
  13. 13. 52
  14. 14. 108 cm
  15. 15. 59
  16. 16. 35 kr
  17. 17. 26
  18. 18. 46 cm
  19. 19. 66
  20. 20. 45 kr

Created with WorksheetMint

Step 1 of 5

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Your choices

Area
Algebra
Exercise type
Value of an expression
Age
12–14 years
Difficulty
Easy
Number of tasks
20
Task format
Mixed
Paper size
US Letter
1. Choose content
Area
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How to use the tool

  1. Choose an algebra exercise type, such as value of an expression or expand brackets.
  2. Pick age and difficulty; harder levels add negative numbers, squares and two variables.
  3. 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

More math worksheets by topic

Frequently asked questions

How do I pick the right level?
Choose an age or grade in step 2. Start easier if the pupil is unsure – you can switch anytime and get new problems instantly.
Can I see the problems before printing?
Yes. The sheet shows exactly the problems that will print. Click New problems to swap them.
How do I include an answer key?
Turn on Answer key in the last step. It prints on its own page after the problems, with the same numbering.
What does the question mark next to a problem do?
It opens a step-by-step explanation of the method on screen. It is not printed and does not reveal the answer.
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.

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