Practice Test 47 - ACT Math

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

Start practice test

1. A set of 7 integers is $\{4, 6, 6, 7, 8, 9, 10\}$. If the value 20 is added to the data set, how does the mean change?​
2. A health department randomly selects hospitals from different regions and surveys all doctors in those hospitals about patient care. Which sampling method is being used?
3. A linear function models the height of water in a tank: $f(x)=3x-7$, where $x$ is minutes and $f(x)$ is inches. What is $f(0)$ for the function $f(x)=3x-7$?
4. A recipe requires 2 cups of flour for every 3 cups of sugar. How much flour is needed for 9 cups of sugar?
5. A gym wants to assess member satisfaction with new equipment. They ask every fifth person who enters the facility. Which sampling method is being used?
6. Simplify: $\dfrac{\sqrt{48}}{\sqrt{3}}$
7. If a package of cookies contains 24 cookies and you eat 6, how many cookies are left?
8. A cell phone plan has a monthly fee of $40 and charges $0.05 per text message. Which equation models the total monthly cost $C$ for $t$ text messages?
9. A weather station recorded the high temperature for four days. Use the table. According to the table, what is the high temperature on Saturday?
10. If $\sqrt{2x + 5} = 3$, what is the value of $x$?
11. A bus route recorded the number of passengers at four stops. Use the table. According to the table, what is the number of passengers at Stop B?
12. In a 45-45-90 triangle, if one leg measures 7 units, what is the length of the hypotenuse?
13. What is $\cos(90^\circ)$?
14. What is the area of a circle with radius 11?
15. Lines $m$ and $n$ are parallel ($\Rightarrow$). A transversal $t$ intersects them. The angle labeled $x$ is a corresponding angle to the angle labeled $40^\circ$. m ⇒ ─────────────── / $40^\circ$ / / t / / $x$ n ⇒ ───────────────If lines $m$ and $n$ are parallel, what is the measure of angle $x$?
16. Which expression is equivalent to $\log(10x)$?
17. Which expression represents a real number? $\sqrt{-1}$, $\ln(-1)$, $4^{0.5}$, $\frac{1}{0}$
18. A square pyramid has a square base with side length 6 units and a height of 9 units. What is the volume of the pyramid?
19. For the piecewise function $f(x) = \begin{cases} 3x^2 & \text{if } x < -1 \\ x - 5 & \text{if } -1 \leq x < 2 \\ 2x + 3 & \text{if } x \geq 2 \end{cases}$, what is f(2)?
20. What is 40% of 300?

Practice tests