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Free · Class 6–8 · 7 worksheets · answer keys · practise online · set 21

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 21
Name:Date:Score:    / 12

Write as an algebraic expression.

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

Find the value

Class 6–7 · Worksheet 2 · set 21
Name:Date:Score:    / 10

Find the value of the expression.

  1. Value of 8p − 10 when p = 9
  2. Value of n² + 11n when n = 3
  3. Value of 8y − 10 when y = 1
  4. Value of 5m + 14 when m = 8
  5. Value of 8x + 15 when x = 3
  6. Value of 4x² when x = 2
  7. Value of 8n² when n = 5
  8. Value of 5p² when p = 1
  9. Value of 9p² when p = 7
  10. Value of n² + 12n when n = 3

Like terms

Class 7 · Worksheet 3 · set 21
Name:Date:Score:    / 10

Simplify by adding or subtracting like terms.

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

Coefficients and terms

Class 7 · Worksheet 4 · set 21
Name:Date:Score:    / 10

Answer.

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

Adding and subtracting expressions

Class 7–8 · Worksheet 5 · set 21
Name:Date:Score:    / 10

Remove the brackets and simplify.

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

Value with two letters

Class 7–8 · Worksheet 6 · set 21
Name:Date:Score:    / 8

Find the value.

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

Multiplying expressions

Class 8 · Worksheet 7 · set 21
Name:Date:Score:    / 10

Multiply out the brackets.

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