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Free · Class 6–8 · 7 worksheets · answer keys · practise online · set 95

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 95
Name:Date:Score:    / 12

Write as an algebraic expression.

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

Find the value

Class 6–7 · Worksheet 2 · set 95
Name:Date:Score:    / 10

Find the value of the expression.

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

Like terms

Class 7 · Worksheet 3 · set 95
Name:Date:Score:    / 10

Simplify by adding or subtracting like terms.

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

Coefficients and terms

Class 7 · Worksheet 4 · set 95
Name:Date:Score:    / 10

Answer.

  1. In m² + 2m − 12 — constant term = ?
  2. In m² + 8m − 15 — coefficient of m = ?
  3. In 9x² − 6x − 10 — constant term = ?
  4. In 9x² + 7x − 2 — constant term = ?
  5. In 8y² − 2y + 5 — constant term = ?
  6. In −8m² + 9m − 13 — coefficient of m² = ?
  7. In 9m² − 4m + 9 — constant term = ?
  8. In −3m² + 2m + 13 — constant term = ?
  9. In 2m² − 9m − 13 — constant term = ?
  10. In −4x² − 5x − 14 — coefficient of x = ?

Adding and subtracting expressions

Class 7–8 · Worksheet 5 · set 95
Name:Date:Score:    / 10

Remove the brackets and simplify.

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

Value with two letters

Class 7–8 · Worksheet 6 · set 95
Name:Date:Score:    / 8

Find the value.

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

Multiplying expressions

Class 8 · Worksheet 7 · set 95
Name:Date:Score:    / 10

Multiply out the brackets.

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

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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.

Are these worksheets free?

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