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Free · Class 6–8 · 7 worksheets · answer keys · practise online · set 49

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 49
Name:Date:Score:    / 12

Write as an algebraic expression.

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

Find the value

Class 6–7 · Worksheet 2 · set 49
Name:Date:Score:    / 10

Find the value of the expression.

  1. Value of n² + 12n when n = 7
  2. Value of m² + 12m when m = 5
  3. Value of 7p + 15 when p = 7
  4. Value of 4y + 11 when y = 7
  5. Value of 8p + 12 when p = 4
  6. Value of 7p − 2 when p = 3
  7. Value of 4n² when n = 8
  8. Value of 8n² when n = 6
  9. Value of 6(p + 13) when p = 4
  10. Value of m² + 4m when m = 9

Like terms

Class 7 · Worksheet 3 · set 49
Name:Date:Score:    / 10

Simplify by adding or subtracting like terms.

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

Coefficients and terms

Class 7 · Worksheet 4 · set 49
Name:Date:Score:    / 10

Answer.

  1. In 7x² + 6x + 13 — coefficient of x² = ?
  2. In 6x² + 9x − 7 — coefficient of x = ?
  3. In 2m² + 2m − 14 — coefficient of m = ?
  4. In −3m² − 2m − 11 — coefficient of m² = ?
  5. In −9x² − 7x + 3 — coefficient of x = ?
  6. In −4y² + 6y − 11 — constant term = ?
  7. In −5m² − m − 14 — coefficient of m = ?
  8. In 9x² − 4x − 6 — coefficient of x = ?
  9. In 6x² + 2x + 1 — constant term = ?
  10. In −3y² − 2y + 1 — coefficient of y = ?

Adding and subtracting expressions

Class 7–8 · Worksheet 5 · set 49
Name:Date:Score:    / 10

Remove the brackets and simplify.

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

Value with two letters

Class 7–8 · Worksheet 6 · set 49
Name:Date:Score:    / 8

Find the value.

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

Multiplying expressions

Class 8 · Worksheet 7 · set 49
Name:Date:Score:    / 10

Multiply out the brackets.

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