Practice Test 48 - ACT Math

20 questions. Answer them in any order, then submit to see your score and every explanation.

Start practice test

1. What are the solutions to the quadratic equation $x^2 - 5x + 6 = 0$?
2. What is the result of $\log_{3}(27)$?
3. Solve the system of equations: $\begin{cases} 5x + y = 2\\ 3x - y = 14 \end{cases}$ What is the solution $(x, y)$?
4. In right triangle PQR, angle P is the right angle. If side PQ = 5 and side PR = 12, what is the length of side QR?
5. What is $(-2)^4$?
6. What is the approximate value of $\sqrt{11}$?
7. What is $\log(10^4)$?
8. Solve for $x$: $5 - 2x = 17$.
9. What is the sum of the interior angles of a 12-sided polygon (a dodecagon)?
10. What is the range of $x$ if $|x - 3| \leq 4$?
11. A company's profit is modeled by the linear equation $y=5x-20$, where $x$ is the number of items sold and $y$ is profit in dollars. What is the y-intercept of this line?
12. Which expression equals $a^{-3}$?
13. How many sides does a polygon have if the sum of its interior angles is 1260°?
14. How many sides does a polygon have if the sum of its interior angles is $900^\circ$?
15. A scientist notes that $10^3 = 1000$. What is the value of $\log(1000)$ (base 10)?
16. A circle has diameter $14$. What is the circumference of the circle?
17. A club collects dues. The total collected from $x$ members is modeled by $2(x + 7) = 30$. If $2(x + 7) = 30$, what is $x$?​​
18. A student recorded the number of minutes it took to complete a puzzle for 7 friends: 6, 7, 7, 8, 9, 9, 20. Which best describes the shape of the distribution of times?
19. A bag contains exactly 5 red marbles, 6 blue marbles, and 4 green marbles. If one marble is randomly selected from the bag, what is the probability that the marble is blue?
20. Given the functions $f(x) = x^2 - 1$ and $g(x) = 2x + 3$, what is the value of $f(g(-2))$?

Practice tests