Practice Test 40 - ACT Math

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

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1. If two angles of a triangle measure 45° and 85°, what is the measure of the third angle?
2. What is the simplified form of $3x + 5x - 2x$?
3. If $7x = -56$, what is $x$?
4. Simplify: $\sqrt{45}$
5. A shirt costs $40 before tax. With an $8\%$ sales tax, what is the total cost?
6. When combining two AC measurements, you add their complex values and express the result in standard form. What is $(7 - 3i) + (-2 + 11i)$?
7. A spinner is divided into 8 equal sections numbered 1 to 8. What is the probability of landing on an even number?
8. The number of text messages a student sent each day for 10 days is 2, 3, 3, 4, 4, 4, 5, 6, 6, 7. What is the median of this data set?
9. If $120\%$ of a number is 360, what is $40\%$ of that number?
10. A library tracked the number of books checked out in four months. Use the table. What is the change in books checked out from February to March?
11. A person who is 6 feet tall casts a 4-foot shadow on the ground. At the same time, a nearby tree casts a 20-foot shadow. Assuming the ground is flat and both the person and tree are perpendicular to the ground, what is the height, in feet, of the tree?
12. What is the median of the data set [12, 5, 8, 7, 14]?
13. A function is defined by $f(x)=4-2x$. What is the value of $f(\!-3)$? Show the substitution: $f(x)=4-2x$, so $f(-3)=4-2(-3)$.
14. A shirt is priced at $40 and is sold for $28. What is the discount percentage?
15. A velocity vector is $\mathbf{v}=\langle -8, 6\rangle$. What is the magnitude of $\mathbf{v}$? Give your answer in simplest form.
16. What is the range of $x$ if $|2x - 6| \leq 4$?
17. A student must choose 1 drink and 1 snack. There are 4 drink options and 5 snack options. If any drink can be paired with any snack, what is the number of possible pairs?
18. A student measured the height of a plant over four weeks. Use the table. According to the table, what is the plant's height at Week 3?
19. Which polynomial is equivalent to $(x + 1)^2$?
20. Which equals $\cos\left(\frac{\pi}{3}\right)$?​​

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