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Free · Class 6–8 · 7 worksheets · answer keys · practise online · set 72

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 72
Name:Date:Score:    / 12

Write as an algebraic expression.

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

Find the value

Class 6–7 · Worksheet 2 · set 72
Name:Date:Score:    / 10

Find the value of the expression.

  1. Value of 4p² when p = 1
  2. Value of y² + 7y when y = 4
  3. Value of 7y + 8 when y = 7
  4. Value of 9p − 9 when p = 7
  5. Value of 4y² when y = 6
  6. Value of 5(x + 11) when x = 4
  7. Value of p² + 9p when p = 7
  8. Value of 3x − 12 when x = 4
  9. Value of y² + 14y when y = 1
  10. Value of 4m − 3 when m = 6

Like terms

Class 7 · Worksheet 3 · set 72
Name:Date:Score:    / 10

Simplify by adding or subtracting like terms.

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

Coefficients and terms

Class 7 · Worksheet 4 · set 72
Name:Date:Score:    / 10

Answer.

  1. In 5y² − 9y + 13 — coefficient of y = ?
  2. In −3y² − 6y + 3 — constant term = ?
  3. In −8x² − 2x + 14 — constant term = ?
  4. In −5y² + 8y − 9 — coefficient of y² = ?
  5. In 2y² − 6y − 10 — constant term = ?
  6. In 8x² + 8x − 7 — coefficient of x = ?
  7. In 9m² − 5m + 7 — coefficient of m² = ?
  8. In −5m² − 7m − 12 — coefficient of m² = ?
  9. In 3x² − 5x − 10 — constant term = ?
  10. In 7x² − 2x − 12 — constant term = ?

Adding and subtracting expressions

Class 7–8 · Worksheet 5 · set 72
Name:Date:Score:    / 10

Remove the brackets and simplify.

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

Value with two letters

Class 7–8 · Worksheet 6 · set 72
Name:Date:Score:    / 8

Find the value.

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

Multiplying expressions

Class 8 · Worksheet 7 · set 72
Name:Date:Score:    / 10

Multiply out the brackets.

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

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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.

Are these worksheets free?

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