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Free · Class 6–8 · 7 worksheets · answer keys · practise online · set 52

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 52
Name:Date:Score:    / 12

Write as an algebraic expression.

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

Find the value

Class 6–7 · Worksheet 2 · set 52
Name:Date:Score:    / 10

Find the value of the expression.

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

Like terms

Class 7 · Worksheet 3 · set 52
Name:Date:Score:    / 10

Simplify by adding or subtracting like terms.

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

Coefficients and terms

Class 7 · Worksheet 4 · set 52
Name:Date:Score:    / 10

Answer.

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

Adding and subtracting expressions

Class 7–8 · Worksheet 5 · set 52
Name:Date:Score:    / 10

Remove the brackets and simplify.

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

Value with two letters

Class 7–8 · Worksheet 6 · set 52
Name:Date:Score:    / 8

Find the value.

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

Multiplying expressions

Class 8 · Worksheet 7 · set 52
Name:Date:Score:    / 10

Multiply out the brackets.

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

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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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