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Free · Class 8–10 · 5 worksheets · answer keys · practise online · set 96

Algebra formulas sheet — identities, with practice questions

Free algebra formulas sheet: (a + b)², (a − b)², (a + b)(a − b), (a + b)³ and more, with printable practice — expand, factorise and use identities to calculate, with answers.

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Expand the square (Class 8–9)(a + b)(a − b) (Class 8–9)Calculate with identities (Class 8–9)Factorise using identities (Class 9)Expand the cube (Class 9)

Expand the square

Class 8–9 · Worksheet 1 · set 96
Name:Date:Score:    / 10

Expand using (a + b)² or (a − b)².

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

(a + b)(a − b)

Class 8–9 · Worksheet 2 · set 96
Name:Date:Score:    / 10

Multiply using (a + b)(a − b) = a² − b².

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

Calculate with identities

Class 8–9 · Worksheet 3 · set 96
Name:Date:Score:    / 10

Use an identity — no long multiplication.

  1. Use an identity to find 57 × 58
  2. Use an identity to find 1009²
  3. Use an identity to find 995²
  4. Use an identity to find 42²
  5. Use an identity to find 998²
  6. Use an identity to find 56 × 57
  7. Use an identity to find 103 × 104
  8. Use an identity to find 1006 × 994
  9. Use an identity to find 101²
  10. Use an identity to find 57²

Factorise using identities

Class 9 · Worksheet 4 · set 96
Name:Date:Score:    / 10

Factorise.

  1. 4x² − 4x + 1
  2. 4y² − 25
  3. 9x² − 48x + 64
  4. 25a² + 10a + 1
  5. 16a² − 25
  6. 9a² + 24a + 16
  7. y² + 6y + 9
  8. 9a² + 12a + 4
  9. 25y² − 4
  10. x² − 9

Expand the cube

Class 9 · Worksheet 5 · set 96
Name:Date:Score:    / 8

Expand using (a + b)³.

  1. (x + 3)³
  2. (x + 1)³
  3. (x − 4)³
  4. (x − 3)³
  5. (x + 2)³
  6. (x − 1)³
  7. (x + 4)³
  8. (x − 2)³

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Questions

What are the basic algebraic identities?

(a + b)² = a² + 2ab + b², (a − b)² = a² − 2ab + b² and (a + b)(a − b) = a² − b² — learn these three first; the others build on them.

Are these worksheets free?

Yes — print them or save as PDF free. Every worksheet has an answer key.

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Can my child do this worksheet online, like a quiz?

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