Try the following ACT math practice question that tests your understanding of arithmetic sequences.

The first four terms of an arithmetic sequence are $a, x, b, 2x$. The ratio of $a$ to $b$ is

1. $\quad \displaystyle \frac{1}{4}$
2. $\quad \displaystyle \frac{1}{3}$
3. $\quad \displaystyle \frac{1}{2}$
4. $\quad \displaystyle \frac{2}{3}$
5. $\quad 2$

Try the following ACT math practice question that tests your understanding of mixture questions.

How many liters of a $12$ percent alcohol solution must be added to $6$ liters of a $24$ percent alcohol solution to obtain a solution that is $15$ percent alcohol?

1. $\quad 9$
2. $\quad 15$
3. $\quad 18$
4. $\quad 20$
5. $\quad 24$

Try the following ACT math practice question that tests your understanding of reflection of points across the vertical axis and straight lines in the coordinate plane.

In the $xy$-coordinate plane, point $A$ is the reflection of the point with coordinates $(4, 2)$ across the straight line $y = x$. If point $B$ is the reflection of point $A$ across the $y$-axis, what are the coordinates of point $B$?

1. $\quad (2, -4)$
2. $\quad (-2,-4)$
3. $\quad (-2, 4)$
4. $\quad (-4, -2)$
5. $\quad (-4,2)$

Try the following ACT math practice question that tests your understanding of finding areas of unusually shaped quadrilaterals.

In the figure shown above, $ABCD$ is a $2 \times 2$ square, $E$ is the midpoint of $\overline{AD}$, and $F$ is on $\overline{BE}$. If $\overline{CF}$ is perpendicular to $\overline{BE}$, then the area of quadrilateral $CDEF$ is

1. $\quad 2$
2. $\quad 3-\dfrac{\sqrt{3}}{2}$
3. $\quad \dfrac{11}{5}$
4. $\quad \sqrt{5}$
5. $\quad \dfrac{9}{4}$

Try the following ACT math practice question that tests your understanding of computing percent changes in the context of geometric shapes.

If the length of a rectangle is increased by $20\%$ and the area is unchanged, then the width is decreased by:

1. $\quad 15 \frac{1}{3}\%$
2. $\quad 16 \frac{2}{3}\%$
3. $\quad 18\%$
4. $\quad 20\%$
5. $\quad 25\%$