Try this ACT math practice question on quadratic equations and the graphs of the corresponding parabola:

If the parabola $y=-x^2 + bx – 8$ has its vertex on the $x-$axis, then $b$ must be:

1. $\quad \textrm{a positive integer}$
2. $\quad \textrm{a positive or a negative rational number}$
3. $\quad \textrm{a positive rational number}$
4. $\quad \textrm{a positive or a negative irrational number}$
5. $\quad \textrm{a negative irrational number}$

 
Try this ACT math practice question on the concept of least common multiple:

What is the least common multiple of the first ten positive integers?

1. $\quad 630$
2. $\quad 1260$
3. $\quad 2520$
4. $\quad 5040$
5. $\quad 10800$

 
Here is a practice question on logarithms to get you ready for the April 2015 ACT. Best wishes.

What value of $x$ satisfies the equation below
$$ \log_{27} x + \log_{9} x = -\dfrac{5}{3} $$

1. $\quad \dfrac{1}{9}$
2. $\quad \dfrac{1}{3}$
3. $\quad \dfrac{2}{3}$
4. $\quad 3$
5. $\quad 9$

 
Here is a practice question on parabolas in the coordinate plane.

In the $(x, y)$ coordinate plane, a parabola with an equation of $y=a(x-h)^2 + k$ has a vertex at $(-2, 2)$. If $(2, -1)$ is a point that falls on the parabola, then which one of the following points also falls on the parabola?

1. $\quad (-10, -8)$
2. $\quad (-6, -1)$
3. $\quad (-3, -2)$
4. $\quad (0, -2)$
5. $\quad (0, -1)$