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. $\quad \displaystyle \frac{10^b}{n}$

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. $\quad 4$

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. $\quad 9$

Try this ACT math practice question that tests your ability to recognize a pattern in sequence questions.

In the sequence $s_1$, $s_2$, $s_3$, $\ldots$, the $n$th term of the sequence is given by $s_{n}=\dfrac{n}{n+1}$ for all positive integers $n$. For example, when $n=1$, $s_1 = \dfrac{1}{2}$. What is the product of the first $100$ terms of this sequence?

1. $\quad \displaystyle \frac{1}{100}$
2. $\quad \displaystyle \frac{1}{101}$
3. $\quad \displaystyle \frac{99}{100}$
4. $\quad \displaystyle \frac{100}{101}$
5. $\quad \displaystyle \frac{101}{100}$

Try this ACT math practice question on the internal angles of an octagon.

In a regular octagon, all $8$ interior angles are congruent. What is the measure of each interior angle of a regular octagon?

1. $\quad 22.5^{\circ}$
2. $\quad 45^{\circ}$
3. $\quad 120^{\circ}$
4. $\quad 135^{\circ}$
5. $\quad 150^{\circ}$