Algebra Class 10 - Quadratic Equations
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Questions and Answers

What is the solution for the equation $x^2 + 16x - 225 = 0$?

  • x = 9 or x = -25
  • x = 10 or x = -25 (correct)
  • x = 15 or x = -15
  • x = 12 or x = -18
  • How can the expression $5x^2 - 30x + 45 = 0$ be simplified?

  • By factoring it to $(x - 9)(x - 1) = 0$
  • By dividing through by 5 resulting in $x^2 - 6x + 9 = 0$ (correct)
  • By completing the square to find $x = 3$
  • By substituting $x = 3$ directly into the equation
  • What relationship does the equation $x^2 - 90x + 2025 = 0$ reveal about x?

  • x = 60 or x = 30
  • x = 75 or x = 15
  • x = 40 or x = 50 (correct)
  • x = 45
  • The equation $4x^2 + 8x - 32 = 0$ simplifies to what after dividing by 4?

    <p>$x^2 + 2x - 8 = 0$</p> Signup and view all the answers

    After solving for y in the equation $y^2 - 38y + 360 = 0$, what are the possible values?

    <p>y = 18 or y = 20</p> Signup and view all the answers

    What should come in place of the question mark in the equation 18 × 26 + 33² + 18² = ?× 25 + ³√531441?

    <p>72</p> Signup and view all the answers

    In the equation (2/17) of 14365 + (5/19) of 2812 - (7/16) of 1984 = ?, what is the value that should replace the question mark?

    <p>1656</p> Signup and view all the answers

    Solve for ? in the equation √8836 + (2/9) of ³√19683 = ? - 40% of 360.

    <p>202</p> Signup and view all the answers

    What value should replace ? in the equation 41.66% of 1008 + 26.66% of 1440 - 18.75% of 1248 = ?× 5?

    <p>126</p> Signup and view all the answers

    In the equation 10201 + 2486 - 1082 - 8022 + 761 = ?, what number should be placed for the question mark?

    <p>4344</p> Signup and view all the answers

    Which value should replace the question mark in the equation 18 × √169 + 16 × √1764 - √5184 × 8 = ?× 30?

    <p>17</p> Signup and view all the answers

    What should the value of ? be in the equation 10290 ÷ 6 ÷ 7 + 7812 ÷ 7 ÷ 9 = ?

    <p>369</p> Signup and view all the answers

    In the equation (3/16) of 1248 - (23 × 17) + 4⁵ = ?, what is the correct value for the question mark?

    <p>519</p> Signup and view all the answers

    What is the sum of the first and last terms in the sequence 140, 145, 156, 180, 226, 321?

    <p>465</p> Signup and view all the answers

    Identify the next number in the series 6, 12, 43, 204, 1218, 8520.

    <p>None of these</p> Signup and view all the answers

    Which number is incorrectly placed in the series 3, 19, 72, 432, 1728, 10368?

    <p>19</p> Signup and view all the answers

    What is the common difference between consecutive terms in the sequence 220, 214.5, 210, 206.5, 205, 202.5?

    <p>1.5</p> Signup and view all the answers

    What operation could be applied to the series 5, 23, 97, 389, 1562, 6255 to find the next number?

    <p>Multiplied by increasing integers</p> Signup and view all the answers

    In the sequence 490, 480, 460, 436, 406, 370, what trend is observed?

    <p>Decreasing by varying amounts</p> Signup and view all the answers

    What is the result of applying the operation to reduce the series 655, 646, 635, 625, 607, 590?

    <p>Subtraction of 9</p> Signup and view all the answers

    Identify the term that does not fit in the series 740, 861, 780, 829, 806, 813.

    <p>861</p> Signup and view all the answers

    Which series does not converge towards a progressively larger number based on the earlier sequences?

    <p>490, 480, 460, 436, 406</p> Signup and view all the answers

    What is the result of the expression $5(5/7) - 6(1/3) + 7(5/7) - 8(2/3) + 7(1/7)$?

    <p>5(4/7)</p> Signup and view all the answers

    What is the simplified result of the expression $96 ext{% of } 550 + (4/17) ext{ of } 816$?

    <p>480</p> Signup and view all the answers

    Evaluate the expression ${(49 imes 16)}^{1/2} imes 12 + {(64 imes 81)}^{1/2}$ for simplification.

    <p>408</p> Signup and view all the answers

    What is the simplified form of the equation $6.25 imes 48 + 5.55 imes 72 + 12.5 imes 96$?

    <p>5</p> Signup and view all the answers

    Which of the following options represents the correct evaluation of $(3/16) ext{ of } 1248 - (23 imes 17) + 4^{5}$?

    <p>867</p> Signup and view all the answers

    In the expression $5(5/7) + 7(5/7) - 8(2/3) + 7(1/7) - 6(1/3)$, calculate the result.

    <p>5(4/7)</p> Signup and view all the answers

    What is the result of evaluating $10201 + 2486 - 1082 - 8022 + 761$?

    <p>4344</p> Signup and view all the answers

    Study Notes

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    • The checklist covers topics like Simplification & Approximation, Arithmetic Word Problems, Quadratic Equations, Wrong Number Series, Missing Number Series, and Data Interpretation.
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    Description

    Test your knowledge on solving and simplifying quadratic equations with this quiz. Explore the relationships and simplifications needed to tackle various quadratic forms. Perfect for reinforcing your algebra skills in class 10.

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