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Free · Class 6–8 · 7 worksheets · answer keys · practise online · set 70

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 70
Name:Date:Score:    / 12

Write as an algebraic expression.

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

Find the value

Class 6–7 · Worksheet 2 · set 70
Name:Date:Score:    / 10

Find the value of the expression.

  1. Value of p² + 9p when p = 7
  2. Value of 5p² when p = 2
  3. Value of y² + 5y when y = 7
  4. Value of 2p + 6 when p = 3
  5. Value of 9p² when p = 8
  6. Value of 2(x + 6) when x = 1
  7. Value of 6p − 7 when p = 9
  8. Value of 6(x + 4) when x = 8
  9. Value of 8m − 3 when m = 7
  10. Value of 9m − 8 when m = 7

Like terms

Class 7 · Worksheet 3 · set 70
Name:Date:Score:    / 10

Simplify by adding or subtracting like terms.

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

Coefficients and terms

Class 7 · Worksheet 4 · set 70
Name:Date:Score:    / 10

Answer.

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

Adding and subtracting expressions

Class 7–8 · Worksheet 5 · set 70
Name:Date:Score:    / 10

Remove the brackets and simplify.

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

Value with two letters

Class 7–8 · Worksheet 6 · set 70
Name:Date:Score:    / 8

Find the value.

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

Multiplying expressions

Class 8 · Worksheet 7 · set 70
Name:Date:Score:    / 10

Multiply out the brackets.

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

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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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