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Free · Class 6–8 · 7 worksheets · answer keys · practise online · set 92

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 92
Name:Date:Score:    / 12

Write as an algebraic expression.

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

Find the value

Class 6–7 · Worksheet 2 · set 92
Name:Date:Score:    / 10

Find the value of the expression.

  1. Value of y² + 10y when y = 8
  2. Value of 4(p + 3) when p = 8
  3. Value of 4n² when n = 5
  4. Value of 6m² when m = 7
  5. Value of p² + 5p when p = 4
  6. Value of 6(y + 10) when y = 5
  7. Value of 5n + 10 when n = 9
  8. Value of 9(n + 4) when n = 8
  9. Value of 8n² when n = 6
  10. Value of p² + 11p when p = 2

Like terms

Class 7 · Worksheet 3 · set 92
Name:Date:Score:    / 10

Simplify by adding or subtracting like terms.

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

Coefficients and terms

Class 7 · Worksheet 4 · set 92
Name:Date:Score:    / 10

Answer.

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

Adding and subtracting expressions

Class 7–8 · Worksheet 5 · set 92
Name:Date:Score:    / 10

Remove the brackets and simplify.

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

Value with two letters

Class 7–8 · Worksheet 6 · set 92
Name:Date:Score:    / 8

Find the value.

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

Multiplying expressions

Class 8 · Worksheet 7 · set 92
Name:Date:Score:    / 10

Multiply out the brackets.

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