The practice problem below tests your understanding of absolute value inequalities and how it relates to the geometric interpretation on the number line.

The solution set of $|x-a| \leq 3$ is the set of all real numbers $x$ such that:

1. $\quad a-3 \leq x \leq a+3$
2. $\quad x \leq a-3 \quad \textrm{or} \quad x \geq a+3$
3. $\quad x \geq a-3 $
4. $\quad x \leq a+3$
5. $\quad -a-3 \leq x \leq -a+3$

Try this ACT math practice question that tests your general problem solving skill.

99 people are sitting in 23 vans. Each van can seat at most 6 people. What is the greatest possible number of vans with exactly one person sitting in it?

1. $\quad 6$
2. $\quad 7$
3. $\quad 8$
4. $\quad 9$
5. $\quad 10$

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. $\quad 9$