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Free · Class 6–8 · 7 worksheets · answer keys · practise online · set 10

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 10
Name:Date:Score:    / 12

Write as an algebraic expression.

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

Find the value

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

Find the value of the expression.

  1. Value of 7m² when m = 3
  2. Value of 9(x + 14) when x = 6
  3. Value of p² + 10p when p = 9
  4. Value of 6(m + 3) when m = 8
  5. Value of 7p² when p = 8
  6. Value of 5m² when m = 2
  7. Value of 8y − 7 when y = 1
  8. Value of 5(x + 4) when x = 2
  9. Value of 5p − 4 when p = 3
  10. Value of 8p + 2 when p = 9

Like terms

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

Simplify by adding or subtracting like terms.

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

Coefficients and terms

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

Answer.

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

Adding and subtracting expressions

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

Remove the brackets and simplify.

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

Value with two letters

Class 7–8 · Worksheet 6 · set 10
Name:Date:Score:    / 8

Find the value.

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

Multiplying expressions

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

Multiply out the brackets.

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

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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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