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Free · Class 6–8 · 7 worksheets · answer keys · practise online · set 46

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 46
Name:Date:Score:    / 12

Write as an algebraic expression.

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

Find the value

Class 6–7 · Worksheet 2 · set 46
Name:Date:Score:    / 10

Find the value of the expression.

  1. Value of y² + 15y when y = 5
  2. Value of 3p − 8 when p = 7
  3. Value of 3y² when y = 4
  4. Value of 2n² when n = 1
  5. Value of 8x² when x = 8
  6. Value of 6y² when y = 6
  7. Value of n² + 5n when n = 7
  8. Value of y² + y when y = 5
  9. Value of 7x + 12 when x = 8
  10. Value of 6y − 13 when y = 5

Like terms

Class 7 · Worksheet 3 · set 46
Name:Date:Score:    / 10

Simplify by adding or subtracting like terms.

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

Coefficients and terms

Class 7 · Worksheet 4 · set 46
Name:Date:Score:    / 10

Answer.

  1. In −7m² − 7m + 9 — coefficient of m² = ?
  2. In 8x² − 4x + 1 — coefficient of x² = ?
  3. In 5m² − 2m − 6 — coefficient of m = ?
  4. In 5x² − 8x − 15 — coefficient of x = ?
  5. In 9m² − m + 4 — coefficient of m² = ?
  6. In −m² − 7m + 9 — constant term = ?
  7. In 2y² + y + 2 — constant term = ?
  8. In −7y² + 7y − 6 — coefficient of y² = ?
  9. In −y² − 2y − 4 — coefficient of y² = ?
  10. In −2x² − 9x + 11 — coefficient of x² = ?

Adding and subtracting expressions

Class 7–8 · Worksheet 5 · set 46
Name:Date:Score:    / 10

Remove the brackets and simplify.

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

Value with two letters

Class 7–8 · Worksheet 6 · set 46
Name:Date:Score:    / 8

Find the value.

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

Multiplying expressions

Class 8 · Worksheet 7 · set 46
Name:Date:Score:    / 10

Multiply out the brackets.

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

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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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