Sample quiz on zeros of quadratics
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  1. Another term for a zero of a quadratic is $\cdots$?
    $y$-intercept
    $x$-intercept
    vertex
    maximum
  2. Which of the following terms does not have the same meaning as the zero of a quadratic?
    root
    minimum
    solution
    $x$-intercept
  3. Solve the quadratic equation $3x^2-7x-6=0$
    $x=-3,\frac{2}{3}$
    $x=-3,\frac{3}{2}$
    $x=3,-\frac{3}{2}$
    $x=3,-\frac{2}{3}$
  4. Solve the quadratic equation $5x^2-8x-4=0$
    $x=2,-\frac{2}{5}$
    $x=2,-\frac{5}{2}$
    $x=-2,-\frac{2}{5}$
    $x=-2,-\frac{5}{2}$
  5. Solve the quadratic equation $7x^2+12x-4=0$
    $x=-2,\frac{4}{7}$
    $x=-2,\frac{12}{7}$
    $x=-2,\frac{2}{7}$
    $x=-2,\frac{7}{2}$
  6. Calculate the discriminant of the quadratic equation $x^2+4x-4=0$
    $0$
    $8$
    $16$
    $32$
  7. Find the discriminant of the quadratic equation $x^2+7x+6=0$
    $25$
    $24$
    $73$
    $-10$
  8. Solve the quadratic equation $9x^2-9x-4=0$
    $x=-\frac{4}{3},-\frac{1}{3}$
    $x=-\frac{4}{3},\frac{1}{3}$
    $x=\frac{4}{3},-\frac{1}{3}$
    $x=\frac{4}{3},-\frac{1}{9}$
  9. Find the equation of a quadratic with roots $2$ and $-3$ and passing through the point $(1,8)$.
    $y=-2(x+2)(x-3)$
    $y=-2(x-2)(x-3)$
    $y=-2(x+2)(x+3)$
    $y=-2(x-2)(x+3)$
  10. Find the equation of a quadratic with zeros $4$ and $\frac{5}{2}$ and passing through the point $(3,-1)$
    $y=x^2-13x+20$
    $y=2x^2-13x-20$
    $y=2x^2-13x+20$
    $y=2x^2+13x+20$
  11. Solve the quadratic equation $5x^2-8x=0$
    $x=0,\frac{8}{5}$
    $x=0,\frac{5}{8}$
    $x=0,-\frac{8}{5}$
    $x=\frac{8}{5}$
  12. If the discriminant of the quadratic equation $x^2+bx+8=0$ is $32$, determine the values(s) of $b$.
    $b=0$
    $b=8$
    $b=-8$
    $b=\pm 8$
  13. How many roots/zeros does the quadratic equation $x^2+x+1=0$ have?
    $3$
    $2$
    $1$
    $0$
  14. Solve the quadratic equation $x^2-3x-4=6$
    $x=-1,4$
    $x=-2,5$
    $x=-4,1$
    $x=-5,2$
  15. Solve the quadratic equation $2x^2-x-1=5$
    $x=-\frac{1}{2},2$
    $x=-2,\frac{1}{2}$
    $x=-\frac{3}{2},2$
    $x=-1,\frac{3}{2}$
  16. Solve the quadratic equation $5x^2-20x=0$
    $x=0,4$
    $x=0,5$
    $x=0,-4$
    $x=0,20$
  17. Solve the quadratic equation $x^2+3x-4=x+4$
    $x=1,-4$
    $x=2,-4$
    $x=4,-1$
    $x=4,-2$
  18. Solve the quadratic equation $x^2-8x-4=0$
    $x=-4\pm 2\sqrt{5}$
    $x=-4\pm 2\sqrt{3}$
    $x=4\pm 2\sqrt{3}$
    $x=4\pm 2\sqrt{5}$
  19. Solve the quadratic equation $x^2-2x-4=0$
    $x=1\pm\sqrt{5}$
    $x=2\pm\sqrt{5}$
    $x=-1\pm\sqrt{5}$
    No real solution
  20. Based on the number of solutions, which of the following quadratic equations does not belong to the same class as the others?
    $x^2+4x+4=0$
    $x^2-4x+4=0$
    $x^2+4x+1=0$
    $x^2+2x+1=0$