Practice Test 37 - ACT Math

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

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1. To gather feedback on a new product, a company places an online survey link on its website. Which sampling method is most likely being used?
2. A straight road on a map is represented by the equation $y=\dfrac{3}{2}x-4$. What is the $y$-intercept of the line $y=\dfrac{3}{2}x-4$?
3. What angle has $\tan(\theta) = 1$?
4. What is the absolute value of $6 - 8i$?
5. If $x$ and $y$ are positive integers such that $3^x \cdot 3^y = 81$, what is the greatest possible value of $x - y$?
6. Lines $p$ and $q$ are parallel, and line $r$ is a transversal. If angle $1$ is $120^\circ$, what is the measure of the alternate interior angle $2$?
7. A line graph shows the number of pages read each day by a student. Use the graph data. Based on the graph, what is the number of pages read on Thursday?
8. What is the domain of the real-valued function $f(x) = \sqrt{x - 5}$?
9. A company's profit is modeled by the linear equation $y=-4x+20$, where $x$ is the number of weeks and $y$ is profit in thousands of dollars. What is the y-intercept of the line $y=-4x+20$?
10. In a right triangle, if the opposite side to angle $\theta$ is 6 and the hypotenuse is 10, what is $\sin(\theta)$?
11. Which equation represents a circle with center $(2,-3)$ and radius $5$?​​
12. A robot's movement vector is $\mathbf{v}=\langle 9,\,12\rangle$. What is the magnitude of $\mathbf{v}$? Give your answer in simplest form.
13. Which expression represents a real number?
14. Which graph represents the solution to $2x + 1 \geq 5$?
15. The following list shows the number of books read by 9 students over the summer: 2, 3, 3, 5, 7, 8, 8, 8, 10. If one student who read 10 books is removed from the data set, how will the median change?
16. A supermarket wants to know customer satisfaction. They ask shoppers leaving the store for feedback. Which sampling method is being used?
17. The first term of an arithmetic sequence is 5 and the third term is 13. What is the 20th term of this sequence?
18. If $f(x) = 8x - 3$, what is $f(4)$?
19. A club has 8 members. The club needs to choose 3 members to serve on a committee, and the roles are identical (so order does not matter). How many different committees are possible?
20. A club has 8 members and needs to choose 3 people to serve on a committee. Since the committee has no positions, order does not matter. How many ways can the 3 people be chosen?

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