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Free · Class 6–8 · 7 worksheets · answer keys · practise online · set 78

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.

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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 78
Name:Date:Score:    / 12

Write as an algebraic expression.

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

Find the value

Class 6–7 · Worksheet 2 · set 78
Name:Date:Score:    / 10

Find the value of the expression.

  1. Value of m² + 3m when m = 4
  2. Value of 7n + 2 when n = 5
  3. Value of 7p − 9 when p = 1
  4. Value of 3m − 4 when m = 2
  5. Value of 2y + 8 when y = 2
  6. Value of 5m + 7 when m = 8
  7. Value of 2x² when x = 5
  8. Value of p² + 13p when p = 7
  9. Value of 3n² when n = 4
  10. Value of 9x + 10 when x = 7

Like terms

Class 7 · Worksheet 3 · set 78
Name:Date:Score:    / 10

Simplify by adding or subtracting like terms.

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

Coefficients and terms

Class 7 · Worksheet 4 · set 78
Name:Date:Score:    / 10

Answer.

  1. In 7m² + 7m + 4 — coefficient of m² = ?
  2. In −y² + 9y − 1 — coefficient of y = ?
  3. In −5y² − 6y + 10 — constant term = ?
  4. In −6x² − 7x − 4 — coefficient of x² = ?
  5. In −x² − x + 9 — coefficient of x = ?
  6. In −4x² + 6x + 11 — coefficient of x² = ?
  7. In −5m² + 3m − 6 — coefficient of m = ?
  8. In y² − 9y + 8 — coefficient of y = ?
  9. In 2y² − y − 8 — coefficient of y = ?
  10. In 8y² + 4y − 15 — constant term = ?

Adding and subtracting expressions

Class 7–8 · Worksheet 5 · set 78
Name:Date:Score:    / 10

Remove the brackets and simplify.

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

Value with two letters

Class 7–8 · Worksheet 6 · set 78
Name:Date:Score:    / 8

Find the value.

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

Multiplying expressions

Class 8 · Worksheet 7 · set 78
Name:Date:Score:    / 10

Multiply out the brackets.

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

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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.

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