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Free · Class 6–8 · 7 worksheets · answer keys · practise online · set 42

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 42
Name:Date:Score:    / 12

Write as an algebraic expression.

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

Find the value

Class 6–7 · Worksheet 2 · set 42
Name:Date:Score:    / 10

Find the value of the expression.

  1. Value of 6(m + 5) when m = 8
  2. Value of 4x − 3 when x = 5
  3. Value of 5(y + 12) when y = 6
  4. Value of 2(m + 11) when m = 2
  5. Value of 6(m + 11) when m = 6
  6. Value of 8x − 6 when x = 1
  7. Value of 6p − 9 when p = 4
  8. Value of 7(p + 9) when p = 7
  9. Value of p² + 8p when p = 1
  10. Value of 2x² when x = 3

Like terms

Class 7 · Worksheet 3 · set 42
Name:Date:Score:    / 10

Simplify by adding or subtracting like terms.

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

Coefficients and terms

Class 7 · Worksheet 4 · set 42
Name:Date:Score:    / 10

Answer.

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

Adding and subtracting expressions

Class 7–8 · Worksheet 5 · set 42
Name:Date:Score:    / 10

Remove the brackets and simplify.

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

Value with two letters

Class 7–8 · Worksheet 6 · set 42
Name:Date:Score:    / 8

Find the value.

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

Multiplying expressions

Class 8 · Worksheet 7 · set 42
Name:Date:Score:    / 10

Multiply out the brackets.

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

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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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