Practice Test 29 - ACT Math

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

Start practice test

1. Which expression is equivalent to $(1 + 3i)(2 + 5i)$?
2. The table gives values of $f(x)$ and $g(x)$ for $x = 1$ to $5$. Given $f(g(a)) = 4$ where $a$ is a positive integer $\le 5$, what is $a$?
3. What is the solution to the equation $2x + 5 = 13$?
4. A cube has a volume of 64 cubic units. What is the surface area of the cube?
5. Which equation represents a circle with center $(2,-3)$ and radius $5$?​​​
6. What is $3^4$?
7. A regular polygon has 7 sides. What is the sum of the interior angles of this polygon?
8. Which equals $\cos(90^\circ)$?
9. To evaluate a new marketing strategy, a company compares sales data from regions where the strategy was implemented to those where it wasn't. Which study design would avoid bias?
10. What is the y-intercept of the line $y = 3x + 5$?
11. What percent of 120 is 30?
12. The cost of producing an item is given by the equation $C = 100 + 5x$, where $C$ is the cost in dollars and $x$ is the number of items produced. What is the cost for producing 20 items?
13. What is the sum of the interior angles of an 8-sided polygon (octagon)?​​
14. A bag of trail mix is made with nuts and dried fruit in a ratio of $3:2$. If the bag contains 25 ounces total, how many ounces of nuts are in the bag?
15. What is the measure of each interior angle in a regular octagon?
16. If $A = \begin{pmatrix} 2 & 3 \\ 1 & -1 \end{pmatrix}$, what is $4A$?
17. A town's population increased from $12{,}000$ to $15{,}000$ over one year. What was the percent increase, based on the original population?
18. Which represents a rational number? $\sqrt{11}$, $0.75$, $\pi$, $e$
19. Lines $m$ and $n$ are parallel (⇒). A transversal intersects them, creating an angle of $65^\circ$ at line $m$. The angle labeled $x$ is the same-side interior angle with the $65^\circ$ angle. m ⇒ ─────────────── 65° / / / t / / x n ⇒ ───────────────What is the measure of angle $x$?
20. What is $\mathbf{v}-\mathbf{w}$ if $\mathbf{v}=\langle 10, -2\rangle$ and $\mathbf{w}=\langle -3, 5\rangle$?

Practice tests