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Free · Class 6–8 · 7 worksheets · answer keys · practise online · set 14

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 14
Name:Date:Score:    / 12

Write as an algebraic expression.

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

Find the value

Class 6–7 · Worksheet 2 · set 14
Name:Date:Score:    / 10

Find the value of the expression.

  1. Value of p² + 7p when p = 7
  2. Value of 9m² when m = 6
  3. Value of 8p² when p = 5
  4. Value of 4x + 14 when x = 6
  5. Value of 2(p + 13) when p = 3
  6. Value of 2x − 2 when x = 3
  7. Value of m² + 9m when m = 4
  8. Value of 6x − 5 when x = 6
  9. Value of 5x + 11 when x = 1
  10. Value of 4(n + 1) when n = 6

Like terms

Class 7 · Worksheet 3 · set 14
Name:Date:Score:    / 10

Simplify by adding or subtracting like terms.

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

Coefficients and terms

Class 7 · Worksheet 4 · set 14
Name:Date:Score:    / 10

Answer.

  1. In −5y² + 3y + 13 — constant term = ?
  2. In −4x² − 7x − 5 — coefficient of x = ?
  3. In 6y² + 9y + 7 — coefficient of y² = ?
  4. In 8x² − 8x + 14 — coefficient of x² = ?
  5. In y² − y + 6 — coefficient of y = ?
  6. In −y² − y + 2 — coefficient of y² = ?
  7. In −5m² + 7m + 15 — constant term = ?
  8. In −3m² − 8m − 10 — constant term = ?
  9. In 7m² + 2m − 15 — coefficient of m = ?
  10. In 8y² + 2y − 10 — coefficient of y² = ?

Adding and subtracting expressions

Class 7–8 · Worksheet 5 · set 14
Name:Date:Score:    / 10

Remove the brackets and simplify.

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

Value with two letters

Class 7–8 · Worksheet 6 · set 14
Name:Date:Score:    / 8

Find the value.

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

Multiplying expressions

Class 8 · Worksheet 7 · set 14
Name:Date:Score:    / 10

Multiply out the brackets.

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

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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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