Practice Test 4 - 8th 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.

Segment $\overline{JK}$ has endpoints $J(3,2)$ and $K(7,5)$ . It is translated by $(-4, 1)$ to form $\overline{J'K'}$ . Which statement is true?
A student claims: "Because the scatter plot shows a positive association between the number of pages read and reading quiz score, reading more pages causes a higher score for every student." Which response is best? Data pairs (pages read, quiz score): $(5,60),(10,68),(15,75),(20,80),(25,86),(30,90),(35,92),(40,95)$
When simplifying $3(x + 4) - 2x$ , a student writes: " $3x + 12 - 2x = x + 12$ ". What aspect of mathematical precision could be improved?
What is $\frac{\sqrt{48}}{\sqrt{3}} + \frac{\sqrt{27}}{\sqrt{12}}$ in simplest form?
A neighborhood survey asked 100 families what type of home they live in (Apartment or House) and whether they have a pet (Yes/No). - Apartment: 15 have pets, 35 do not (50 total) - House: 40 have pets, 10 do not (50 total) Which conclusion is best supported by the data?
A student claims that the equation $y = 3x + 2$ has a slope of 3 and passes through the point (0, 3). Which statement most precisely identifies the error?
A quality control simulation tests 500 randomly generated items. The results show 23 defective items. The company then tests 300 more items and finds 11 defective. If they want to estimate the defect rate for the next batch of 1200 items using their combined experimental data, how many defective items should they expect?
Two companies surveyed employee satisfaction scores (1-10 scale). Company X: mean = 6.8, MAD = 1.4, range = 7. Company Y: mean = 7.2, MAD = 2.1, range = 8. An HR consultant needs to identify which company has more satisfied employees and which has more consensus. What should the consultant conclude?
A school has a cylindrical water tank with radius $2\text{ m}$ and height $5\text{ m}$ . About how much water can it hold?
Consider the decimal $0.\overline{3} = 0.333...$ and the decimal $0.3010010001...$ where the number of zeros between consecutive 1s increases by one each time. How do these decimals differ in terms of their classification?
Triangle $XYZ$ is similar to triangle $ABC$ . Angle $Y$ corresponds to angle $B$ , and angle $B$ measures $71^\circ$ . What is the measure of angle $Y$ ?
A student is comparing rational and irrational numbers. Which statement is always true?
The graph displays a linear inequality. If the $x$ -value increases by 4 units from any point in the shaded region, what is the maximum the $y$ -value can increase while remaining in the shaded region?
A box contains 5 red pencils, 4 blue pencils, and 6 yellow pencils. If 3 pencils are selected without replacement, what is the probability that at least 2 pencils are red?
A cylindrical swimming pool has a radius of $4$ meters. Water is being pumped into the pool at a rate of $8\pi$ cubic meters per hour. How long will it take to fill the pool to a depth of $1.5$ meters?
A polygon $JKLM$ has vertices $J(2,2)$ , $K(5,2)$ , $L(5,5)$ , and $M(2,5)$ . Another polygon $J'K'L'M'$ has vertices $J'(-2,-2)$ , $K'(-5,-2)$ , $L'(-5,-5)$ , and $M'(-2,-5)$ . Which transformation maps $JKLM$ to $J'K'L'M'$ ?
A trapezoid has an area of $63\frac{3}{4}$ square centimeters. The parallel sides have lengths of $\frac{x}{2}$ cm and $(x + 5)$ cm, and the height is $\frac{2x}{3}$ cm. What is the value of x?
A water tank is being drained at a constant rate. After 3 minutes, it contains 45 gallons. After 7 minutes, it contains 25 gallons. Which table correctly shows the amount of water at different times?
Sarah is solving the equation $3(x - 4) = 2x + 5$ . She expands the left side to get $3x - 12 = 2x + 5$ , then subtracts $2x$ from both sides to get $x - 12 = 5$ . What should Sarah do next to find the value of $x$ ?
Which equation best represents the relationship between the number of gallons $g$ in the pool and the time $t$ in hours?

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