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Free · Class 6–8 · 7 worksheets · answer keys · practise online · set 34

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 34
Name:Date:Score:    / 12

Write as an algebraic expression.

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

Find the value

Class 6–7 · Worksheet 2 · set 34
Name:Date:Score:    / 10

Find the value of the expression.

  1. Value of 9n² when n = 1
  2. Value of 8y² when y = 2
  3. Value of x² + 9x when x = 6
  4. Value of 5p + 6 when p = 9
  5. Value of 6x² when x = 4
  6. Value of y² + 15y when y = 4
  7. Value of m² + 8m when m = 1
  8. Value of 7y − 2 when y = 1
  9. Value of 7p + 8 when p = 2
  10. Value of 8p + 10 when p = 2

Like terms

Class 7 · Worksheet 3 · set 34
Name:Date:Score:    / 10

Simplify by adding or subtracting like terms.

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

Coefficients and terms

Class 7 · Worksheet 4 · set 34
Name:Date:Score:    / 10

Answer.

  1. In m² + 5m + 14 — coefficient of m² = ?
  2. In −7x² + 2x − 14 — constant term = ?
  3. In −6y² − 4y + 6 — constant term = ?
  4. In 2m² − 8m − 2 — constant term = ?
  5. In −y² − 6y − 9 — coefficient of y = ?
  6. In 7m² − 7m + 13 — coefficient of m² = ?
  7. In 5y² + 6y − 11 — constant term = ?
  8. In y² + 7y − 6 — coefficient of y² = ?
  9. In 4m² − m − 7 — coefficient of m = ?
  10. In 8x² − 4x + 7 — constant term = ?

Adding and subtracting expressions

Class 7–8 · Worksheet 5 · set 34
Name:Date:Score:    / 10

Remove the brackets and simplify.

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

Value with two letters

Class 7–8 · Worksheet 6 · set 34
Name:Date:Score:    / 8

Find the value.

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

Multiplying expressions

Class 8 · Worksheet 7 · set 34
Name:Date:Score:    / 10

Multiply out the brackets.

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

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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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