Try this ACT math practice question on factors of a quadratic expression:

If the quadratic expression $2x^2 + 3x + m$ is divisible by $x+5$, what is the value of $m$ ?

1. $\quad -35$
2. $\quad -21$
3. $\quad -5$
4. $\quad 5$
5. $\quad 21$

Choice A

Given $i=\sqrt{-1}$, $\dfrac{i-2}{i}$ is equal to

1. $\quad -1 – 2i$
2. $\quad -1+2i$
3. $\quad -2-i$
4. $\quad 1-2i$
5. $\quad 1+2i$

Choice E

Try this ACT math practice question on trigonometric identities:

For all $\theta$, the expression $\csc^{2} \theta \tan^{2} \theta – 1 $ is equivalent to:

1. $\quad \cot^{2} \theta$
2. $\quad \tan^{2} \theta$
3. $\quad \csc^{2} \theta$
4. $\quad \sec^{2} \theta$
5. $\quad \cos^{2} \theta$

Choice B

Try this ACT math practice question on exponents and scientific notation:

Given $a$ and $b$ are positive integers, what is $\dfrac{60 \times 10^a}{3 \times 10^b}$ expressed
in scientific notation?

1. $\quad 2 \times 10^{a-b-1}$
2. $\quad 2 \times 10^{a-b+1}$
3. $\quad 2 \times 10^{(\frac{a}{b}-1)}$
4. $\quad 20 \times 10^{a-b-1}$
5. $\quad 20 \times 10^{a-b+1}$