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Free · Class 6–8 · 7 worksheets · answer keys · practise online · set 79

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 79
Name:Date:Score:    / 12

Write as an algebraic expression.

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

Find the value

Class 6–7 · Worksheet 2 · set 79
Name:Date:Score:    / 10

Find the value of the expression.

  1. Value of 3p² when p = 3
  2. Value of p² + 3p when p = 6
  3. Value of 6n − 9 when n = 8
  4. Value of p² + 11p when p = 2
  5. Value of 4n + 10 when n = 2
  6. Value of y² + 10y when y = 3
  7. Value of x² + 11x when x = 6
  8. Value of 2p + 9 when p = 4
  9. Value of 6m + 13 when m = 7
  10. Value of p² + 5p when p = 5

Like terms

Class 7 · Worksheet 3 · set 79
Name:Date:Score:    / 10

Simplify by adding or subtracting like terms.

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

Coefficients and terms

Class 7 · Worksheet 4 · set 79
Name:Date:Score:    / 10

Answer.

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

Adding and subtracting expressions

Class 7–8 · Worksheet 5 · set 79
Name:Date:Score:    / 10

Remove the brackets and simplify.

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

Value with two letters

Class 7–8 · Worksheet 6 · set 79
Name:Date:Score:    / 8

Find the value.

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

Multiplying expressions

Class 8 · Worksheet 7 · set 79
Name:Date:Score:    / 10

Multiply out the brackets.

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

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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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