Here is a link to the playlist of video explanations to all of the math questions in the 2023 April ACT (Form F11) Test.

## Reflection of points in the coordinate plane: ACT Math Practice Question

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 $B$?

- $\quad (2, -4)$
- $\quad (-2,-4)$
- $\quad (-2, 4)$
- $\quad (-4, -2)$
- $\quad (-4,2)$

**Video Explanation**

## Finding area of a quadrilateral: ACT Math Practice Question

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

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

**Video Explanation**

## Percent change and area: ACT Math Practice Question

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:

- $\quad 15 \frac{1}{3}\%$
- $\quad 16 \frac{2}{3}\%$
- $\quad 18\%$
- $\quad 20\%$
- $\quad 25\%$

**Video Explanation**

## Logarithms: ACT Math Practice Question

Try the following ACT math practice question that tests your understanding of logarithmic operations.

If $3 = k\cdot 2^r$ and $15 = k\cdot 4^r$, then $r =$

- $\quad -\log_{2}5$
- $\quad \log_{5}2$
- $\quad \log_{10}5$
- $\quad \log_{2}5$
- $\quad \dfrac{5}{2}$

**Video Explanation**

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