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Reflection of straight lines: ACT Math Practice Question

December 13, 2022 Leave a Comment

 

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

Let $y=mx+b$ be the image when the line $x-3y+11=0$ is reflected across the $x$-axis. The value of $m+b$ is

  1. $\quad -6$
  2. $\quad -5$
  3. $\quad -4$
  4. $\quad -3$
  5. $\quad -2$

Choice C

Video Explanation

 

Filed Under: ACT Practice Questions

Exponents and number of solutions: ACT Math Practice Question

November 9, 2022 Leave a Comment

 

Try the following ACT math practice question that tests your understanding of exponents and finding the number of solutions of an equation.

Let $n$ be the number of integer values of $x$ such that the below equation is true.
$$ 4^{3x-2} = 8^{2x-1} $$
Then $n$ is:

  1. $\quad 0$
  2. $\quad 1$
  3. $\quad 2$
  4. $\quad 3$
  5. $\quad \textrm{Infinite}$

Choice A

Video Explanation

 

Filed Under: ACT Practice Questions

Parallelograms: ACT Math Practice Question

October 9, 2022 5 Comments

 

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

 

Filed Under: ACT Practice Questions

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

 

Filed Under: ACT Practice Questions

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

Filed Under: ACT Practice Questions

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