Apps

TalentJR apps

How the apps work →
Free · Class 6–8 · 7 worksheets · answer keys · practise online · set 13

Algebraic expressions worksheets — Class 6 to 8, with answers

Free algebra worksheets for Class 6, 7 and 8: write algebraic expressions, find the value, like terms, add and subtract expressions, coefficients and multiplying — with answers.

💡 Learn it first

🔤 The worksheets

🔄 New set of questions

Write the expression (Class 6)Find the value (Class 6–7)Like terms (Class 7)Coefficients and terms (Class 7)Adding and subtracting expressions (Class 7–8)Value with two letters (Class 7–8)Multiplying expressions (Class 8)

Write the expression

Class 6 · Worksheet 1 · set 13
Name:Date:Score:    / 12

Write as an algebraic expression.

  1. Write as an expression: 7 more than m
  2. Write as an expression: m divided by 7
  3. Write as an expression: 5 less than 4 times b
  4. Write as an expression: 9 less than p
  5. Write as an expression: 3 times n
  6. Write as an expression: 12 less than m
  7. Write as an expression: 4 less than p
  8. Write as an expression: the sum of n and y
  9. Write as an expression: the product of 8 and y
  10. Write as an expression: 12 added to twice x
  11. Write as an expression: 8 times n
  12. Write as an expression: n increased by 4

Find the value

Class 6–7 · Worksheet 2 · set 13
Name:Date:Score:    / 10

Find the value of the expression.

  1. Value of 5n² when n = 4
  2. Value of 2(p + 8) when p = 7
  3. Value of 2x + 10 when x = 8
  4. Value of 2p + 11 when p = 5
  5. Value of 3y² when y = 2
  6. Value of 4x² when x = 9
  7. Value of 4x + 15 when x = 2
  8. Value of m² + 3m when m = 8
  9. Value of m² + 10m when m = 7
  10. Value of 8y² when y = 2

Like terms

Class 7 · Worksheet 3 · set 13
Name:Date:Score:    / 10

Simplify by adding or subtracting like terms.

  1. 8y + 1z − 1y + 7z
  2. 9m + 4m
  3. 7x + 9y − 8x + 6y
  4. 7x + 4x
  5. 8y − 5y
  6. 10y − 7y
  7. 2y − 9y
  8. 7y + 3z − 7y + 5z
  9. 11y + 1y
  10. 9a + 8a

Coefficients and terms

Class 7 · Worksheet 4 · set 13
Name:Date:Score:    / 10

Answer.

  1. In 7x² + 8x + 5 — coefficient of x = ?
  2. In −2m² + 6m + 5 — coefficient of m² = ?
  3. In 8m² + 4m − 7 — coefficient of m² = ?
  4. In 5x² + 8x + 11 — constant term = ?
  5. In 2y² − 2y − 7 — constant term = ?
  6. In 7y² − y + 4 — coefficient of y = ?
  7. In 7y² + 8y − 7 — coefficient of y = ?
  8. In 7m² − 4m − 11 — constant term = ?
  9. In −3m² − 4m + 4 — constant term = ?
  10. In 6y² − 8y + 13 — constant term = ?

Adding and subtracting expressions

Class 7–8 · Worksheet 5 · set 13
Name:Date:Score:    / 10

Remove the brackets and simplify.

  1. (3y − 8) + (7y + 9)
  2. (8p + 9) − (5p + 7)
  3. (5p − 4) + (p − 1)
  4. (8x + 6) − (x + 7)
  5. (4a − 5) + (6a − 5)
  6. (4x − 5) + (4x + 9)
  7. (8a − 5) − (6a − 5)
  8. (4y − 5) + (y − 6)
  9. (8a − 7) − (a − 7)
  10. (4y − 5) + (9y − 6)

Value with two letters

Class 7–8 · Worksheet 6 · set 13
Name:Date:Score:    / 8

Find the value.

  1. Value of a² + b when a = 5, b = 2
  2. Value of 2a + 3b when a = −2, b = −5
  3. Value of 3a + 3b when a = −5, b = −4
  4. Value of a² + b when a = 4, b = −1
  5. Value of ab + 4 when a = −3, b = −2
  6. Value of 5a + 6b when a = −3, b = 1
  7. Value of ab + 3 when a = 1, b = 5
  8. Value of 6a + 3b when a = 5, b = 2

Multiplying expressions

Class 8 · Worksheet 7 · set 13
Name:Date:Score:    / 10

Multiply out the brackets.

  1. −2a(4a − 4)
  2. 2a(a + 2)
  3. −4y(y + 4)
  4. 2x(5x + 1)
  5. −6a(3a − 1)
  6. −4x(6x − 2)
  7. 6p(7p − 8)
  8. −3y(6y + 9)
  9. 5y(6y − 9)
  10. −2x(7x − 5)

More worksheets

⚖️ Linear equations worksheet➕➖ Integers worksheet⚡ Exponents and powers Noun worksheetsPronoun worksheetsArticles worksheetTenses worksheetPrepositions worksheetSubtraction worksheets All worksheets

Questions

What is an algebraic expression?

A combination of numbers, letters and operations, like 3x + 5 or 2a − b. An expression has no “=” sign; an equation does.

Are these worksheets free?

Yes — print them or save as PDF free. Every worksheet has an answer key.

How do I get different questions?

Press “🔄 New set” — the questions change (maths numbers are new every time; English sentences are shuffled).

How do I print only one worksheet?

Press “🖨️ Print” on that worksheet. Tick “with answer key” if you want the answers on a second page.

Can my child do this worksheet online, like a quiz?

Yes — press “▶️ Practise online” on any worksheet. The questions come one at a time with instant marking, a score at the end and a review of mistakes. No sign-in is needed.