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Free · Class 6–8 · 7 worksheets · answer keys · practise online · set 55

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 55
Name:Date:Score:    / 12

Write as an algebraic expression.

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

Find the value

Class 6–7 · Worksheet 2 · set 55
Name:Date:Score:    / 10

Find the value of the expression.

  1. Value of 6m + 10 when m = 5
  2. Value of 2p + 13 when p = 3
  3. Value of x² + 6x when x = 6
  4. Value of 7(y + 9) when y = 5
  5. Value of m² + 4m when m = 7
  6. Value of 8x² when x = 5
  7. Value of m² + 5m when m = 3
  8. Value of x² + 15x when x = 3
  9. Value of x² + 3x when x = 6
  10. Value of 4y − 2 when y = 7

Like terms

Class 7 · Worksheet 3 · set 55
Name:Date:Score:    / 10

Simplify by adding or subtracting like terms.

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

Coefficients and terms

Class 7 · Worksheet 4 · set 55
Name:Date:Score:    / 10

Answer.

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

Adding and subtracting expressions

Class 7–8 · Worksheet 5 · set 55
Name:Date:Score:    / 10

Remove the brackets and simplify.

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

Value with two letters

Class 7–8 · Worksheet 6 · set 55
Name:Date:Score:    / 8

Find the value.

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

Multiplying expressions

Class 8 · Worksheet 7 · set 55
Name:Date:Score:    / 10

Multiply out the brackets.

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