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You are here: Home / Archives for ACT Practice Questions

Parallelograms: ACT Math Practice Question

October 9, 2022 1 Comment

 

Try the following ACT math practice question that tests your understanding of parallelograms in the coordinate plane.

If points $(0,0)$, $(3,5)$, $(8,0)$, and $(5,m)$ are the vertices of a parallelogram, then $m=$

  1. $\quad 8$
  2. $\quad 5$
  3. $\quad 3$
  4. $\quad -3$
  5. $\quad -5$

Choice E

Video Explanation

 

Fractional Exponents: ACT Math Practice Question

August 4, 2022 Leave a Comment

 

Try the following ACT math practice question that tests your understanding of manipulating fractional exponential expressions.

If $x$ is a positive number, which of the following is equivalent to $x^{\frac{5}{2}}$ ?

  1. $x^2 \sqrt{x}$
  2. $x (\sqrt{x})^3$
  3. $\displaystyle \frac{x^3}{\sqrt{x}}$
  1. $\quad \textrm{I and II only}$
  2. $\quad \textrm{I and III only}$
  3. $\quad \textrm{II and III only}$
  4. $\quad \textrm{I, II, and III}$
  5. $\quad \textrm{None}$

Choice D

 

Exponents: ACT Math Practice Question

July 21, 2022 Leave a Comment

 

Try the following ACT math practice question that tests your understanding of manipulating exponential expressions.

If $2^x = n$, what does $4^{x+1}$ equal in terms of $n$?

  1. $\quad 8n$
  2. $\quad 2n^2$
  3. $\quad 4n^2$
  4. $\quad n^2+4$
  5. $\quad 2n^2+8$

Choice C

Video Explanation

Absolute value: ACT Math Practice Question

April 11, 2022 Leave a Comment

 

Try the following ACT math practice question that tests your understanding of manipulating algebraic expressions with absolute value.

Given $m$ and $n$ are real numbers such that $m > n$, which of the following expressions equals $|n-m|$ ?

  1. $\quad n-m$
  2. $\quad m-n$
  3. $\quad -n-m$
  4. $\quad m+n$
  5. $\quad \sqrt{m^2-n^2}$

Choice B

Video Explanation

Patterns in a sequence: ACT Math Practice Question

January 3, 2022 Leave a Comment

 

Try the following ACT math practice question that tests your understanding of finding terms of a sequence that have a repeating pattern.

$$ \textbf{FLOWERFLOW….} $$
In the pattern above, the first letter is $\textbf{F}$ and the letters $\textbf{F}$, $\textbf{L}$, $\textbf{O}$, $\textbf{W}$, $\textbf{E}$, and $\textbf{R}$ repeat continually in that order. What is the $95$th letter in the pattern?

  1. $\quad \textbf{F}$
  2. $\quad \textbf{L}$
  3. $\quad \textbf{W}$
  4. $\quad \textbf{E}$
  5. $\quad \textbf{R}$

Choice D

Video Explanation

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