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Rectangles and area: ACT Math Practice Question

October 2, 2021 Leave a Comment

 

Try this ACT math practice question that tests your understanding of rectangles and area concepts.

In rectangle $ABCD$, point $E$ is the midpoint of side $BC$. If the area of quadrilateral $ABED$ is $\dfrac{2}{3}$, what is the area of rectangle $ABCD$ ?

  1. $\quad \dfrac{1}{2}$
  2. $\quad \dfrac{3}{4}$
  3. $\quad \dfrac{8}{9}$
  4. $\quad 1$
  5. $\quad \dfrac{8}{3}$

Choice C

Video Explanation

Logarithms: ACT Math Practice Question

August 30, 2021 Leave a Comment

 

Try this ACT math practice question that tests your understanding of logarithms.

If $\log_{10} m = b \; – \; \log_{10} n$, then $m=$

  1. $\quad \displaystyle \frac{b}{n}$
  2. $\quad bn$
  3. $\quad 10^{b}n$
  4. $\quad b \; – \; 10^{n}$
  5. $\quad \displaystyle \frac{10^b}{n}$

Choice E

Video Explanation

2021-2022 Preparing for the ACT Test Form 2176CPRE

August 24, 2021 1 Comment

 
ACT has released a new version of the 2021-2022 Preparing for the ACT Test Form 2176CPRE. This is a new test and is identical to the 2021 April ACT Form Z04. The test can be downloaded from this link: Preparing for the ACT 2021-2022 and my video explanations are at this link: Video Playlist 2021-2022 Preparing for the ACT test.

Factors of an algebraic expression: ACT Math Practice Question

August 10, 2021 Leave a Comment

 

Try this ACT math practice question that tests your understanding of factors of an algebraic expression.

What is the value of $a$ if $x+3$ is a factor of $6x^3+17x^2-ax-3$?

  1. $\quad -4$
  2. $\quad -2$
  3. $\quad 0$
  4. $\quad 2$
  5. $\quad 4$

Choice E

Video Explanation

Units digit of a large number: ACT Math Practice Question

August 4, 2021 Leave a Comment

 

Try this ACT math practice question that tests your ability to recognize a pattern in units digits of large powers of an integer.

The units digit(the digit in the one’s place of a number) of $7^{77}$ is $7$. What is the units digit of $7^{80}$?

  1. $\quad 0$
  2. $\quad 1$
  3. $\quad 3$
  4. $\quad 7$
  5. $\quad 9$

Choice B

Video explanation

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