Grade 8 Mathematics: Geometry, Exponents, Cartesian Plane, and Quadratic Formula
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Questions and Answers

In the Cartesian coordinate system, which quadrant(s) will contain points with positive x and positive y coordinates?

  • Quadrant II
  • Quadrant I (correct)
  • Quadrant I and IV
  • Quadrant II and III

    • What is the equation of a parabola that opens upwards?

  • $y = x^2 + 1$ (correct)
  • $y = x^2 - 1$
  • $y = -x^2 + 1$
  • $y = -x^2 - 1$

    • If the base of a right triangle is doubled and the height is halved, how does this change affect the area of the triangle?

  • The area is doubled
  • The area remains the same (correct)
  • The area is halved
  • The area is quadrupled

    • In the Cartesian coordinate system, what is the equation of the circle with center at (2, -3) and a radius of 5?

    <p>$(x-2)^2 + (y+3)^2 = 25$</p> Signup and view all the answers

    Simplify the expression $4^{(1/2) + 3}$

    <p>$4^{11/2}$</p> Signup and view all the answers

    If a parabola has the equation $y = x^2 + 4x - 5$, what are the x-coordinates of its x-intercepts?

    <p>$-5$ and $1$</p> Signup and view all the answers

    In the Cartesian coordinate system, what is the equation of the line that is perpendicular to the line with equation $y = 2x - 4$ and passes through the point (3, 5)?

    <p>$y = -2x + 11$</p> Signup and view all the answers

    If a circle in the Cartesian plane has the equation $x^2 + y^2 - 6x + 8y - 12 = 0$, what are the coordinates of the center of the circle?

    <p>(3, -4)</p> Signup and view all the answers

    What is the value of $3^{(2x+1)} = 81$?

    <p>3</p> Signup and view all the answers

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