Here is a link to the playlist of video explanations to all of the math questions in the 2019 December ACT (Form C03) Test.

## Arithmetic progression: ACT Math Practice Question

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Try this ACT math practice question on how to find the terms of an arithmetic progression.

In an arithmetic progression the difference between consecutive terms is a constant. For example, the sequence $3, 7, 11, 15, \ldots$ is an arithmetic progression where the consecutive terms are $4$ apart. If the first term of an arithmetic progression is $4$ and the last term is $54$, and the sum is $609$, then what is the third term?

- $\quad 8$
- $\quad 8.5$
- $\quad 9$
- $\quad 9.5$
- $\quad 10$

## Absolute value inequality: ACT Math Practice Question

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Try this ACT math practice question on absolute value inequalities.

What are all values of $x$ for which $|x-1| \lt 2$ ?

- $\quad 0 \lt x \lt 3$
- $\quad -1 \lt x \lt 3$
- $\quad -2 \lt x \lt 3$
- $\quad -3 \lt x \lt 3$
- $\quad x \lt -1 \quad \textrm{or} \quad x \gt 3$

## Reflection of a straight line: ACT Math Practice Question

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Try this ACT math practice question on what happens to the y-intercept of a line when it is reflected.

In the standard $xy-$coordinate plane, the line $3x – y = 6$ is reflected across the $x-$axis. What is the $y-$intercept of the resulting line?

- $\quad -6$
- $\quad -2$
- $\quad 2$
- $\quad 3$
- $\quad 6$

## Area of a scalene triangle: ACT Math Practice Question

##### Try this ACT math practice question on finding the area of a triangle.

In the figure above, the length of side $AB$ of triangle $ABC$ is $3$, and $\angle A = \angle C= 30^{\circ}$. What is the area of the triangle $ABC$?

- $\quad \dfrac{9\sqrt{3}}{8}$
- $\quad \dfrac{9}{4}$
- $\quad \dfrac{9\sqrt{3}}{4}$
- $\quad \dfrac{9}{2}$
- $\quad \dfrac{27\sqrt{3}}{8}$

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