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Free · Class 6–8 · 7 worksheets · answer keys · practise online · set 17

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 17
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: 2 subtracted from 3 times x
  3. Write as an expression: n increased by 12
  4. Write as an expression: 6 less than 4 times p
  5. Write as an expression: y divided by 11
  6. Write as an expression: the product of 7 and y
  7. Write as an expression: the sum of m and y
  8. Write as an expression: the product of 12 and y
  9. Write as an expression: n increased by 5
  10. Write as an expression: p increased by 8
  11. Write as an expression: 9 added to twice b
  12. Write as an expression: b increased by 7

Find the value

Class 6–7 · Worksheet 2 · set 17
Name:Date:Score:    / 10

Find the value of the expression.

  1. Value of 7n − 8 when n = 7
  2. Value of x² + 3x when x = 1
  3. Value of 3p − 7 when p = 1
  4. Value of m² + m when m = 6
  5. Value of 3(n + 10) when n = 7
  6. Value of 6n − 3 when n = 6
  7. Value of 9y² when y = 9
  8. Value of p² + 12p when p = 6
  9. Value of 9n² when n = 8
  10. Value of 2n + 2 when n = 1

Like terms

Class 7 · Worksheet 3 · set 17
Name:Date:Score:    / 10

Simplify by adding or subtracting like terms.

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

Coefficients and terms

Class 7 · Worksheet 4 · set 17
Name:Date:Score:    / 10

Answer.

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

Adding and subtracting expressions

Class 7–8 · Worksheet 5 · set 17
Name:Date:Score:    / 10

Remove the brackets and simplify.

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

Value with two letters

Class 7–8 · Worksheet 6 · set 17
Name:Date:Score:    / 8

Find the value.

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

Multiplying expressions

Class 8 · Worksheet 7 · set 17
Name:Date:Score:    / 10

Multiply out the brackets.

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