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Free · Class 6–8 · 7 worksheets · answer keys · practise online · set 28

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 28
Name:Date:Score:    / 12

Write as an algebraic expression.

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

Find the value

Class 6–7 · Worksheet 2 · set 28
Name:Date:Score:    / 10

Find the value of the expression.

  1. Value of 7(x + 12) when x = 1
  2. Value of 4y² when y = 6
  3. Value of 8p − 14 when p = 2
  4. Value of m² + 11m when m = 3
  5. Value of 6y + 2 when y = 3
  6. Value of 3p − 6 when p = 4
  7. Value of x² + 3x when x = 3
  8. Value of 5n + 8 when n = 6
  9. Value of 4m² when m = 1
  10. Value of x² + 11x when x = 2

Like terms

Class 7 · Worksheet 3 · set 28
Name:Date:Score:    / 10

Simplify by adding or subtracting like terms.

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

Coefficients and terms

Class 7 · Worksheet 4 · set 28
Name:Date:Score:    / 10

Answer.

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

Adding and subtracting expressions

Class 7–8 · Worksheet 5 · set 28
Name:Date:Score:    / 10

Remove the brackets and simplify.

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

Value with two letters

Class 7–8 · Worksheet 6 · set 28
Name:Date:Score:    / 8

Find the value.

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

Multiplying expressions

Class 8 · Worksheet 7 · set 28
Name:Date:Score:    / 10

Multiply out the brackets.

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

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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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