Algebraic Identities Part 2 Quiz

Algebraic Identities Part 2 Quiz makes you see how simple expressions hold fascinating stories. In ancient China, mathematicians used counting rods to solve algebraic expressions on boards, arranging them in ways that reflected modern rules like a plus b whole square. What seems like routine formulas today once required clever visualization with everyday tools. Their method was so efficient that complex calculations became easier long before symbolic algebra was written down. This blend of geometry and number theory gave rise to the formulas we still apply. When you see a problem asking to find AB from A square plus B square, you are retracing steps that were once ground breaking discoveries on wooden boards centuries ago.

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Algebraic Identities Part 2 Quiz

Algebraic Identities Part 2

If (a + b)² = 49 and ab = 10 then find the value of (a² + b²)

If (a - b)² = 25 and ab = 6 then find the value of (a² + b²)

If (a + 1/a)² = 9 then find the value of (a² + 1/a²)

If (a - 1/a)² = 16 then find the value of (a² + 1/a²)

What is the value of (23 + 5)² - (23 - 5)²?

If (a + 1/a) = 6, find (a² + 1/a²)

If (a - 1/a) = 7, find (a² + 1/a²)

If (a + 1/a) = 3, find (a³ + 1/a³)

If (a + b) = 10 and ab = 21 then find the value of (a² + b²)

If (a² + b²) = 40 and (a + b) = 10 then what is the value of ab?

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Sample Questions from This Quiz

  1. If (a + b)² = 49 and ab = 10 then find the value of (a² + b²)
  2. If (a – b)² = 25 and ab = 6 then find the value of (a² + b²)
  3. If (a + 1/a)² = 9 then find the value of (a² + 1/a²)
  4. If (a – 1/a)² = 16 then find the value of (a² + 1/a²)
  5. What is the value of (23 + 5)² – (23 – 5)²?

Try the full quiz and see how many of these you can answer!

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