Grade 10 Academic Mathematics Final Exam Review: Algebra Big Ideas
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Questions and Answers

What is the correct method to solve a linear system graphically?

  • Using quadratics to find the solution
  • Using the substitution method
  • Using the elimination method
  • Plotting the graphs of the equations and finding the point of intersection (correct)
  • Which property of parabolas is represented by the equation y=a(x-h)^2+k?

  • Minimum value
  • Y-intercept
  • Axis of symmetry
  • Maximum value (correct)
  • What is the appropriate method to solve a quadratic equation if it cannot be easily factored?

  • Applying the properties of parabolas
  • Solving it by graphing
  • Using the quadratic formula (correct)
  • Using the difference of squares
  • Which trigonometric function is represented by the acronym SOH in the context of similar triangles?

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

    What is the first step when solving a problem using linear systems by substitution?

    <p>Solving for one variable in one of the equations</p> Signup and view all the answers

    In the context of quadratic expressions, what method would be most suitable for factoring a perfect square trinomial?

    <p>Using the square root property</p> Signup and view all the answers

    When graphing a quadratic equation, what do the intercepts represent?

    <p>X and Y coordinates at which the graph crosses the axes</p> Signup and view all the answers

    What is a fundamental property of exponential laws involving negative exponents?

    <p>$a^{-n} = 1/a^n$</p> Signup and view all the answers

    Which method is used to determine the equation of a line algebraically given specific information?

    <p>$ax+by+c=0$ form</p> Signup and view all the answers

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