Algebraic Identities Part 1 Quiz

Algebraic Identities Part 1 Quiz explores the fascinating world of patterns in numbers through engaging algebra MCQ questions. A curious fact is that Fibonacci numbers, now famous in nature and art, were initially studied through simple algebraic patterns centuries ago. Early mathematicians noticed that sums and differences of squares and cubes appeared in flower petals, pinecones, and even the spiral shells of snails. These real-life connections helped them understand abstract algebraic formulas like A minus B whole square and A plus B plus C whole square long before calculators existed. Practicing these patterns today allows students to see how algebraic identities bridge the gap between pure numbers and the natural world in an enjoyable way.

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Algebraic Identities Part 1 Quiz

Algebraic Identities Part 1

If (a + b) = 7 and a³ + b³ = -98, find ab

What is the value of (a + b)² + (a - b)²

If √a + √b = 7 and √(ab) = 10 the find (a + b)

If (a - b) = 3 and a² - b² = 45 find a + b

Find the value of (√3 + 1/√3)²

If (a + b + c)² = 135 and a² + b² + c² = 77 find the value of ab + bc + ca.

If (a + b) = 4 and a² + b² = 10, find the value of (a⁴ + b⁴)

If (a + 1/a)² = 25 and find the value of (a³ + 1/a³) where a>0

If (a + b) = 6 and a² + b² = 20 find (a³ + b³)

if (a + b)(a² - ab + b²) = 35 and a + b = 5, find (ab)

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Sample Questions from This Quiz

  1. If (a + b) = 7 and a³ + b³ = -98, find ab
  2. What is the value of (a + b)² + (a – b)²
  3. If √a + √b = 7 and √(ab) = 10 the find (a + b)
  4. If (a – b) = 3 and a² – b² = 45 find a + b
  5. Find the value of (√3 + 1/√3)²

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

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