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

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 6
Name:Date:Score:    / 12

Write as an algebraic expression.

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

Find the value

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

Find the value of the expression.

  1. Value of 4n² when n = 7
  2. Value of 8n − 1 when n = 7
  3. Value of 4y − 15 when y = 7
  4. Value of 2(p + 9) when p = 3
  5. Value of 4x + 14 when x = 8
  6. Value of y² + 9y when y = 5
  7. Value of 5x² when x = 6
  8. Value of 4x + 13 when x = 8
  9. Value of 5x + 11 when x = 8
  10. Value of 7y − 10 when y = 2

Like terms

Class 7 · Worksheet 3 · set 6
Name:Date:Score:    / 10

Simplify by adding or subtracting like terms.

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

Coefficients and terms

Class 7 · Worksheet 4 · set 6
Name:Date:Score:    / 10

Answer.

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

Adding and subtracting expressions

Class 7–8 · Worksheet 5 · set 6
Name:Date:Score:    / 10

Remove the brackets and simplify.

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

Value with two letters

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

Find the value.

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

Multiplying expressions

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

Multiply out the brackets.

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