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Free · Class 6–8 · 7 worksheets · answer keys · practise online · set 19

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 19
Name:Date:Score:    / 12

Write as an algebraic expression.

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

Find the value

Class 6–7 · Worksheet 2 · set 19
Name:Date:Score:    / 10

Find the value of the expression.

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

Like terms

Class 7 · Worksheet 3 · set 19
Name:Date:Score:    / 10

Simplify by adding or subtracting like terms.

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

Coefficients and terms

Class 7 · Worksheet 4 · set 19
Name:Date:Score:    / 10

Answer.

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

Adding and subtracting expressions

Class 7–8 · Worksheet 5 · set 19
Name:Date:Score:    / 10

Remove the brackets and simplify.

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

Value with two letters

Class 7–8 · Worksheet 6 · set 19
Name:Date:Score:    / 8

Find the value.

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

Multiplying expressions

Class 8 · Worksheet 7 · set 19
Name:Date:Score:    / 10

Multiply out the brackets.

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

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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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