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Free · Class 6–8 · 7 worksheets · answer keys · practise online · set 9

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 9
Name:Date:Score:    / 12

Write as an algebraic expression.

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

Find the value

Class 6–7 · Worksheet 2 · set 9
Name:Date:Score:    / 10

Find the value of the expression.

  1. Value of 5(n + 6) when n = 6
  2. Value of 5x² when x = 7
  3. Value of y² + 3y when y = 6
  4. Value of 9m − 7 when m = 6
  5. Value of n² + 5n when n = 8
  6. Value of 9x − 5 when x = 3
  7. Value of 8(p + 4) when p = 2
  8. Value of 4(y + 14) when y = 3
  9. Value of 7n − 6 when n = 6
  10. Value of 7n² when n = 6

Like terms

Class 7 · Worksheet 3 · set 9
Name:Date:Score:    / 10

Simplify by adding or subtracting like terms.

  1. 6x + 8y − 1x + 6y
  2. 7m − 8m
  3. 5m − 2m
  4. 3x − 8x
  5. 3y + 9y
  6. 3m + 8y − 7m + 4y
  7. 12m + 4y − 3m + 2y
  8. 4a − 2a
  9. 11x + 1y − 2x + 3y
  10. 4a − 5a

Coefficients and terms

Class 7 · Worksheet 4 · set 9
Name:Date:Score:    / 10

Answer.

  1. In 2m² + 2m − 13 — coefficient of m² = ?
  2. In −5y² − y − 4 — coefficient of y = ?
  3. In −8x² − 9x + 5 — coefficient of x = ?
  4. In −8m² + 3m + 13 — coefficient of m² = ?
  5. In −3y² − 4y − 15 — coefficient of y = ?
  6. In −8y² − 7y − 6 — coefficient of y = ?
  7. In 3x² − 6x + 5 — constant term = ?
  8. In −y² + 2y − 12 — constant term = ?
  9. In 3x² − 6x + 4 — constant term = ?
  10. In −6x² − 2x − 15 — coefficient of x² = ?

Adding and subtracting expressions

Class 7–8 · Worksheet 5 · set 9
Name:Date:Score:    / 10

Remove the brackets and simplify.

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

Value with two letters

Class 7–8 · Worksheet 6 · set 9
Name:Date:Score:    / 8

Find the value.

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

Multiplying expressions

Class 8 · Worksheet 7 · set 9
Name:Date:Score:    / 10

Multiply out the brackets.

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

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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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