Practice Test 30 - ACT Math

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

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1. Simplify: $\sqrt{20}$
2. What is $4\mathbf{v}$ if $\mathbf{v}=\langle 1, -7\rangle$?
3. An object is thrown upward from a height of 10 feet. Its height $h$ (in feet) $t$ seconds after it is thrown is modeled by the function $h(t) = -16t^2 + 64t + 10$. What is the height of the object, in feet, 3 seconds after it is thrown?
4. On a map, 1.5 inches represents 40 miles. If two cities are 6 inches apart on the map, what is the actual distance between them, in miles?
5. A student is rewriting a logarithmic equation in exponential form. Which equation is equivalent to $\log_{2}(32)=5$?
6. Order the following from least to greatest: $-\frac{1}{3}$, $0$, $0.25$, $\frac{1}{2}$.
7. Lines $l$ and $m$ are parallel, cut by transversal $t$. An interior angle measures $(4x + 10)°$ and its alternate interior angle measures $(2x + 50)°$. What is $x$?
8. In a chemistry formula, you need $\log_4(\tfrac{1}{16})$. What is $\log_4\!\left(\dfrac{1}{16}\right)$?
9. What is the median of the data set [34, 23, 28, 29, 22]?
10. How many sides does a polygon have if each interior angle in a regular polygon measures $120^\circ$?​
11. A contractor calculates materials with $4(x + 2) = 32$. Which value of $x$ satisfies $4(x + 2) = 32$?
12. If $A = \begin{bmatrix} -1 & 2 \\ 3 & -4 \end{bmatrix}$, what is $2A$?
13. What is $(-4 + 4i) + (2 - 6i)$?
14. In the standard $(x, y)$ coordinate plane, point $A$ has coordinates $(4, -3)$ and point $B$ has coordinates $(-2, 7)$. What are the coordinates of the midpoint of line segment $\overline{AB}$?
15. If lines $a$ and $b$ are parallel and angle $3$ is $85^\circ$, what is the measure of angle $4$, which is a corresponding angle?
16. A line graph shows the number of visitors to a website over four hours. Based on the graph, what is the number of visitors at 10 AM?
17. A transformation matrix $A$ is scaled to double its effect. If $A=\begin{bmatrix}-3 & 2\\ 5 & 0\end{bmatrix},$ what is $2A$?
18. Two angles form a linear pair. If one angle measures $135^\text{o}$, what is the measure of the other angle?
19. Factor: $x^2 + 6x + 9$
20. Which of the following expresses $60°$ in radians?

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