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Free · Class 6–8 · 7 worksheets · answer keys · practise online · set 2

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 2
Name:Date:Score:    / 12

Write as an algebraic expression.

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

Find the value

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

Find the value of the expression.

  1. Value of 7m² when m = 8
  2. Value of 3n − 4 when n = 6
  3. Value of 4y − 1 when y = 7
  4. Value of 4m + 5 when m = 9
  5. Value of n² + 8n when n = 1
  6. Value of x² + 3x when x = 9
  7. Value of 6x − 7 when x = 3
  8. Value of 5(x + 13) when x = 5
  9. Value of 6(p + 4) when p = 1
  10. Value of 6x² when x = 3

Like terms

Class 7 · Worksheet 3 · set 2
Name:Date:Score:    / 10

Simplify by adding or subtracting like terms.

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

Coefficients and terms

Class 7 · Worksheet 4 · set 2
Name:Date:Score:    / 10

Answer.

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

Adding and subtracting expressions

Class 7–8 · Worksheet 5 · set 2
Name:Date:Score:    / 10

Remove the brackets and simplify.

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

Value with two letters

Class 7–8 · Worksheet 6 · set 2
Name:Date:Score:    / 8

Find the value.

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

Multiplying expressions

Class 8 · Worksheet 7 · set 2
Name:Date:Score:    / 10

Multiply out the brackets.

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

Are these worksheets free?

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