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TMUA — free MCQ practice

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Mathematics (29)

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AlgebraFunctionsMathematicsPolynomial Functions

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A student writes the conjugate of 3 plus 4i. She keeps the real part and changes the sign of the:Read the answer and worked solution →Multiplying 2 plus 5i by its own conjugate always produces a number that is:Read the answer and worked solution →The U-shaped curve produced by graphing a quadratic function is called a:Read the answer and worked solution →A quadratic function is described as a function whose degree is:Read the answer and worked solution →

Worked practice questions

A student writes the conjugate of 3 plus 4i. She keeps the real part and changes the sign of the:

  1. Imaginary part
  2. Integral part
  3. Interval part
  4. Inverted part
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Correct answer: A. Imaginary part

1. Conjugating leaves the real number untouched. 2. Only the term carrying i is flipped. 3. So the sign of the imaginary part changes, giving 3 minus 4i. _Source: OpenStax Precalculus 2e, Chapter 3, Polynomial and Rational Functions._

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Multiplying 2 plus 5i by its own conjugate always produces a number that is:

  1. Even
  2. Real
  3. Zero
  4. Odd
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Correct answer: B. Real

1. The cross terms in i cancel one another. 2. What survives has no imaginary part left. 3. The product is a real number. _Source: OpenStax Precalculus 2e, Chapter 3, Polynomial and Rational Functions._

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The U-shaped curve produced by graphing a quadratic function is called a:

  1. Parabola
  2. Pentagon
  3. Peninsula
  4. Perimeter
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Correct answer: A. Parabola

1. Every quadratic graph has the same overall shape. 2. It curves symmetrically about a single turning point. 3. That curve is a parabola. _Source: OpenStax Precalculus 2e, Chapter 3, Polynomial and Rational Functions._

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