# Sample quiz on zeros of quadratics Main home here.

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?
$x^2+4x+4=0$
$x^2-4x+4=0$
$x^2+4x+1=0$
$x^2+2x+1=0$