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2021 April ACT Form D05: Video Explanations

May 14, 2021 1 Comment

 
Here is a link to the playlist of video explanations to all of the math questions in the 2021 April ACT (Form D05) Test.

Parallel lines and angles of intersections: ACT Math Practice Question

April 21, 2021 Leave a Comment

 

Try this ACT math practice question on finding the relationship between the angles formed by a line intersecting a pair of parallel lines.

In the figure below, $l \parallel m$ and $m \perp n$. What is $y$ in terms of $x$ ?

  1. $\quad x-45$
  2. $\quad x-90$
  3. $\quad 45-x$
  4. $\quad 90-x$
  5. $\quad 180-x$

Choice B


Video explanation

Simplifying fractional exponents and roots: ACT Math Practice Question

April 2, 2021 Leave a Comment

 

Try this ACT math practice question that tests your ability to simplify expressions that contain roots and fractional exponents.

For $x \gt 0$, which of the following expressions is equivalent to $(\sqrt[4]{x^3})(\sqrt{x})^3$?

  1. $\quad x$
  2. $\quad x^2$
  3. $\quad x(\sqrt[4]{x})$
  4. $\quad x^2(\sqrt[4]{x})$
  5. $\quad x^3(\sqrt[4]{x})$

Choice D


Video explanation

2020 December ACT Form D03: Video Explanations

February 3, 2021 2 Comments

 
Here is a link to the playlist of video explanations to all of the math questions in the 2020 December ACT (Form D03) Test.

Right triangles and trigonometric expressions: ACT Math Practice Question

January 6, 2021 Leave a Comment

 

Try the following ACT math practice question that tests your understanding of evaluating trigonometric expressions in the context of right triangles.

In the right triangle $ABC$ shown below, what is the value of $1 – \cos^2{A} – \cos^2{B}$ ?

  1. $\quad -1$
  2. $\quad \displaystyle -\frac{1}{2}$
  3. $\quad \displaystyle \hskip 0.8em 0$
  4. $\quad \displaystyle \hskip 0.8em 1$
  5. $\quad \displaystyle \hskip 0.6em \frac{1}{2}$

Choice C


Video explanation

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