Practice Test 9 - 7th Grade Math

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

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1. A student flips a coin and then rolls a number cube labeled 1-6. Let event E be: The coin shows heads and the number rolled is even. Which set lists all outcomes in E?
2. A librarian wants to estimate the average number of pages in all the books in the school library (the population). She randomly selects 25 books and finds the sample mean is 214 pages. Which statement is the best inference about the population mean number of pages?
3. A cafeteria line has a 40% chance that the next student chooses pizza. About how many students would you expect to check before you have found 10 pizza choices? (Use estimation.)
4. A student calculates the new daily production as 480 + 25 = 505 widgets. What error in problem-solving does this reveal?
5. A snack costs $p$ dollars. The store adds 8% sales tax, so the total cost is $p+0.08p$. Which equivalent expression shows the total as one multiplication?
6. A video game download is 1.5 GB plus 0.5 GB for each extra level pack you add. You have less than 5 GB of free space. Set up, solve, and graph an inequality for the number of level packs $p$ you can add.
7. Two lines intersect, creating vertical angles. One vertical angle measures $(5x-10)^{\circ}$ and the opposite vertical angle measures $(3x+30)^{\circ}$. What is the value of $x$?
8. Maria is planning a rectangular garden. She has 48 feet of fencing to use as the perimeter. If she wants the length to be 6 feet more than twice the width, what will be the area of her garden?
9. A school compared the weights (in grams) of two brands of identical snack packs. Brand A: 48, 49, 50, 50, 51, 52, 53 Brand B: 49, 50, 50, 51, 52, 53, 54 Use the mean as the center and MAD as the variability. (You may reason from the data without computing every step exactly.) Which choice best describes the overlap?
10. A basketball player makes a free throw about 70% of the time. You want to simulate the compound event: the player makes at least 3 out of 4 free throws. Which device and mapping best match this situation?
11. Find the distance between the numbers -4 and 3 on a number line. (Use absolute value of the difference.)
12. A bus travels 45 miles in 1.5 hours at a constant rate. Let $d$ be distance (miles) and $t$ be time (hours). Which equation models the proportional relationship?
13. Lisa calculates $35 ÷ (-8)$ and gets $-4.375$ on her calculator. She wants to verify this is correct by converting the decimal back to a fraction. Which calculation would help her check her work?
14. A classroom raffle uses 12 identical tickets numbered $1$ to $12$. One ticket is chosen at random. What is $P(\text{ticket number is a multiple of }3)$? Give your answer in simplest form.
15. A student designs a simulation for the compound event: choose 3 library books and exactly 1 is a graphic novel. About 40% of the library books are graphic novels. Which mapping correctly represents the 40% chance each time a book is chosen (in the simulation)?
16. A student flips a coin and then rolls a standard number cube (1-6). Which list shows the complete sample space for this compound event?
17. Jenny saves money by putting $15 in her piggy bank every week. She started with $40. After how many weeks will she have saved enough to buy a bike that costs $175?
18. Tom determines that he needs to find the least common multiple of 12 and 8 to solve this problem. Which step best demonstrates his analysis of the given information?
19. Which set of conditions would allow a student to construct infinitely many different triangles (all with the same shape but different sizes)?
20. If $\frac{a}{b} = \frac{3}{7}$ and $\frac{b}{c} = \frac{4}{9}$, what is the value of $\frac{a}{c}$? Give your answer in simplest form.

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