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Free · Class 6–8 · 7 worksheets · answer keys · practise online · set 16

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 16
Name:Date:Score:    / 12

Write as an algebraic expression.

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

Find the value

Class 6–7 · Worksheet 2 · set 16
Name:Date:Score:    / 10

Find the value of the expression.

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

Like terms

Class 7 · Worksheet 3 · set 16
Name:Date:Score:    / 10

Simplify by adding or subtracting like terms.

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

Coefficients and terms

Class 7 · Worksheet 4 · set 16
Name:Date:Score:    / 10

Answer.

  1. In x² + 5x + 4 — coefficient of x² = ?
  2. In −9x² − 4x + 10 — coefficient of x = ?
  3. In −8x² − 2x + 9 — constant term = ?
  4. In −7x² + 5x + 1 — coefficient of x² = ?
  5. In −7y² − 8y − 12 — coefficient of y = ?
  6. In −m² + 2m − 11 — coefficient of m² = ?
  7. In −4y² − 7y − 4 — constant term = ?
  8. In 7m² − 9m − 10 — constant term = ?
  9. In −m² − 6m + 9 — coefficient of m² = ?
  10. In 6m² + 4m − 13 — constant term = ?

Adding and subtracting expressions

Class 7–8 · Worksheet 5 · set 16
Name:Date:Score:    / 10

Remove the brackets and simplify.

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

Value with two letters

Class 7–8 · Worksheet 6 · set 16
Name:Date:Score:    / 8

Find the value.

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

Multiplying expressions

Class 8 · Worksheet 7 · set 16
Name:Date:Score:    / 10

Multiply out the brackets.

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

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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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