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Free · Class 6–8 · 7 worksheets · answer keys · practise online · set 22

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 22
Name:Date:Score:    / 12

Write as an algebraic expression.

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

Find the value

Class 6–7 · Worksheet 2 · set 22
Name:Date:Score:    / 10

Find the value of the expression.

  1. Value of 7m + 12 when m = 1
  2. Value of 6m² when m = 6
  3. Value of 7y − 9 when y = 9
  4. Value of n² + 15n when n = 3
  5. Value of x² + 15x when x = 3
  6. Value of 6p + 6 when p = 7
  7. Value of 9p² when p = 6
  8. Value of x² + 4x when x = 4
  9. Value of 4(p + 5) when p = 8
  10. Value of 8x + 2 when x = 4

Like terms

Class 7 · Worksheet 3 · set 22
Name:Date:Score:    / 10

Simplify by adding or subtracting like terms.

  1. 11a + 1a
  2. 4x + 4x
  3. 9a + 4a
  4. 10x + 8x
  5. 11y − 5y
  6. 12y − 8y
  7. 9y − 7y
  8. 4y + 9y
  9. 7x + 4y − 1x + 7y
  10. 6y + 8z − 7y + 5z

Coefficients and terms

Class 7 · Worksheet 4 · set 22
Name:Date:Score:    / 10

Answer.

  1. In 3x² − 7x + 5 — constant term = ?
  2. In −8y² − y − 13 — constant term = ?
  3. In m² − 9m − 2 — coefficient of m = ?
  4. In −x² + x + 6 — constant term = ?
  5. In −m² − 6m − 15 — constant term = ?
  6. In 7x² − 8x − 12 — coefficient of x = ?
  7. In −5y² + 7y + 11 — coefficient of y² = ?
  8. In −5x² − 4x − 7 — coefficient of x = ?
  9. In −4y² + 7y + 2 — coefficient of y = ?
  10. In −5m² + 9m + 6 — coefficient of m² = ?

Adding and subtracting expressions

Class 7–8 · Worksheet 5 · set 22
Name:Date:Score:    / 10

Remove the brackets and simplify.

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

Value with two letters

Class 7–8 · Worksheet 6 · set 22
Name:Date:Score:    / 8

Find the value.

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

Multiplying expressions

Class 8 · Worksheet 7 · set 22
Name:Date:Score:    / 10

Multiply out the brackets.

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