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Free · Class 6–8 · 7 worksheets · answer keys · practise online · set 41

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 41
Name:Date:Score:    / 12

Write as an algebraic expression.

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

Find the value

Class 6–7 · Worksheet 2 · set 41
Name:Date:Score:    / 10

Find the value of the expression.

  1. Value of m² + 13m when m = 8
  2. Value of n² + 12n when n = 5
  3. Value of 6n² when n = 9
  4. Value of 3x + 15 when x = 2
  5. Value of 7(p + 9) when p = 7
  6. Value of p² + 4p when p = 4
  7. Value of 3m² when m = 3
  8. Value of x² + 10x when x = 6
  9. Value of 5m + 3 when m = 2
  10. Value of 7x − 7 when x = 4

Like terms

Class 7 · Worksheet 3 · set 41
Name:Date:Score:    / 10

Simplify by adding or subtracting like terms.

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

Coefficients and terms

Class 7 · Worksheet 4 · set 41
Name:Date:Score:    / 10

Answer.

  1. In 3x² + 3x − 2 — coefficient of x = ?
  2. In 2x² + 2x − 11 — constant term = ?
  3. In 2y² + 4y + 5 — coefficient of y² = ?
  4. In 4x² − 7x + 9 — constant term = ?
  5. In 8x² + 2x + 14 — coefficient of x = ?
  6. In 5m² + 2m + 12 — coefficient of m = ?
  7. In −5m² − 9m + 14 — coefficient of m = ?
  8. In −m² + 6m + 4 — coefficient of m = ?
  9. In −9x² + 9x + 14 — constant term = ?
  10. In −8x² − 6x − 14 — constant term = ?

Adding and subtracting expressions

Class 7–8 · Worksheet 5 · set 41
Name:Date:Score:    / 10

Remove the brackets and simplify.

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

Value with two letters

Class 7–8 · Worksheet 6 · set 41
Name:Date:Score:    / 8

Find the value.

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

Multiplying expressions

Class 8 · Worksheet 7 · set 41
Name:Date:Score:    / 10

Multiply out the brackets.

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

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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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