Practice Test 8 - 6th Grade Math

19 of the 20 questions below are in this test; the other one can't be scored yet. Answer them in any order, then submit to see your score and every explanation.

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1. Which value of $x$ makes the equation $x+\tfrac{2}{5}=1$ true?
2. A game score change is $-12$ points (lost points) and another change is $7$ points (gained points). Which statement is true about the magnitude and the order of the numbers $-12$ and $7$?
3. A science class has $\tfrac{3}{4}$ cup of saltwater. Each test tube needs $\tfrac{2}{3}$ cup. How many test tubes can be filled? Compute $\left(\tfrac{3}{4}\right)\div\left(\tfrac{2}{3}\right)$ and verify by multiplication.
4. Angle A measures $(2y - 15)°$ and angle B measures $(y + 25)°$. If these angles are vertical angles, what is the measure of angle A?
5. A science club has $\tfrac{1}{2}$ liter of solution and pours it equally into 3 identical containers. How much solution goes in each container? Compute $\left(\tfrac{1}{2}\right)\div 3$.​
6. A student says, "Solving $x+4=11$ means finding the value(s) of $x$ that make the equation true." From the set $\{5,6,7,8\}$, which value(s) make $x+4=11$ true? (Test by substitution.)
7. A student says, "The opposite of $0$ does not exist." Which statement is correct?
8. A science fair poster must be at least 36 inches wide. Let $w$ be the width (in inches). Which number line matches the solutions for $w$?
9. A diver is at $-22\text{ m}$ (below sea level) and a cliff top is at $35\text{ m}$ (above sea level). Which statement correctly compares the elevations?
10. A school fundraiser collected 48 ounces of trail mix. How many pounds is that? Use $1\text{ lb}=16\text{ oz}$ and show unit cancellation.
11. In a video game, you earned 25% of the total points for completing a quest. If 25% equals 20 points, what is the total number of points possible?
12. On a quiz, Maya got 12 questions correct out of 20 total. Which ratio represents correct to total in simplest form?
13. A runner jogs 9 miles in 1.5 hours at a constant speed. At this same speed, how many miles will the runner jog in 4 hours?
14. A basketball player recorded points scored in 9 games: 8, 9, 10, 10, 11, 11, 12, 13, 25. Calculate the mean (sum/count) and the range, and describe the overall pattern and any striking deviation.
15. A store marks up items by $1\frac{1}{4}$ times their wholesale cost. What percentage markup does this represent, and what decimal should you multiply the wholesale cost by to find the retail price?
16. A school fundraiser collected $58 after a donation of $12 was added. Let $x$ be the amount collected before the donation. Write a one-step equation and solve for $x$.
17. A rectangular garden has a length of $7\frac{3}{4}$ feet and a width of $5\frac{1}{4}$ feet. If fencing costs $3.50 per foot, what is the total cost to fence the entire perimeter of the garden?
18. The equation $\frac{2}{3}n + \frac{1}{6} = \frac{5}{6}$ can be solved by first subtracting $\frac{1}{6}$ from both sides. What equation results from this step?
19. The dot plot shows the number of hours per week that students participate in extracurricular activities. The guidance counselor wants to advise parents about typical student involvement levels. Based on this data, what summary would be most accurate and helpful?
20. A student marks four locations on a coordinate plane: $J(1,7)$, $K(1,-1)$, $L(-8,7)$, and $M(-8,-1)$. What is the vertical distance from $J$ to $K$?

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