Practice Test 16 - ACT Math

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

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1. Which equation has a slope of 1 and y-intercept -3?
2. Two lines intersect at point $O$. The angle labeled $x$ is adjacent to an angle labeled $80^\circ$ and together they form a straight line. \ 80° / \ / -----O----- / x \What is the measure of angle $x$?
3. To understand exercise habits, researchers survey people at a gym. Which characteristic makes this sample biased?
4. A regular polygon has each interior angle measuring 108°. How many sides does it have?
5. If a number is randomly selected from 1 to 10, what is the probability of selecting a prime number?
6. Two lines intersect at point $O$, forming vertical angles. One of the angles is labeled $x$, and the vertical angle opposite it is labeled $65^\circ$. \ x / \ / --------O-------- / \ /65\What is the measure of angle $x$?
7. A jar contains 4 red marbles, 5 green marbles, and 6 blue marbles. If two marbles are drawn at random from the jar without replacement, what is the probability that both marbles drawn are green?
8. To determine the average height of students in a large university, the researchers randomly select 50 students from each year (freshman, sophomore, junior, senior). Which sampling method is being used?
9. Which equals $\cos(\pi/4)$?
10. Which best describes the shape of the distribution of the data [5, 10, 10, 15, 15, 20, 25]?
11. A standard 6-sided die is rolled. What is the probability of rolling a number greater than 4?
12. A rectangle has a length of 10 cm and a width of 4 cm. What is the area of the rectangle?
13. A movie theater sells tickets. The equation $2x + 11 = x + 19$ models the situation. Solve for $x$.
14. What is the solution to the equation $6x + 5 = 2x + 21$?
15. A sphere has diameter 12 units. What is the surface area of the sphere?
16. What is $\sin(\frac{\pi}{2})$?
17. A fair coin is flipped and a fair six-sided die is rolled. What is the probability of getting heads and rolling an even number? (Assume the events are independent.)
18. Which of the following is the equation of the vertical asymptote for the rational function $f(x) = \dfrac{x^2 - 9}{x^2 - 2x - 15}$?
19. If a pen costs $1.20 and you have $10, how many pens can you buy?
20. A regular hexagon (6-sided polygon) is shown with all sides equal. What is the measure of each interior angle of this regular polygon?​​

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