Practice Test 2 - 8th Grade Math

18 of the 20 questions below are in this test; the other 2 can't be scored yet. Answer them in any order, then submit to see your score and every explanation.

A student records the temperature outside from 6 a.m. to 6 p.m. The temperature changes like this: - From 6 a.m. to 12 p.m., it increases at a constant rate from $40^\circ$ F to $70^\circ$ F. - From 12 p.m. to 3 p.m., it stays constant at $70^\circ$ F. - From 3 p.m. to 6 p.m., it decreases at a constant rate to $55^\circ$ F. Which graph best represents temperature (y) versus time (x)?
A linear function has a y-intercept of 3 and passes through the point (4, 11). Which table of values represents this function?
A right triangle has sides in the ratio 5:12:13. If the shortest side is 15 units long, what is the area of the triangle?
A school district surveys parents about homework policies by calling phone numbers from student enrollment records. They reach 300 parents, but 180 parents were not reachable by phone. How should the district interpret their survey results?
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 graph on the coordinate plane contains the points $(-2,1)$ , $(-1,0)$ , $(0,-1)$ , $(1,0)$ , $(2,1)$ . Does this graph represent a function (using the vertical line test)?
Referring to the graph, for which $x$ -values is the linear function greater than or equal to $-4$ ?
A student arranges three identical copies of triangle DEF so that vertices D, E, and F from the three triangles meet at a single point, forming what appears to be a straight line. If angle D measures $35°$ , angle E measures $80°$ , and angle F measures $65°$ , which geometric principle best explains why the three angles form a straight line?
A student graphs the lines $y=2x+1$ and $y=-x+7$ on the same coordinate plane. What is the solution to the system (the intersection point of the two lines)?
Look at the coordinate plane. Point A is located at $(\sqrt{18}, \sqrt{32})$ . In which quadrant is point A located, and which lattice point is it closest to?
A class measured how many pages they read ( $x$ ) and how many minutes it took ( $y$ ). The scatter plot shows a clear positive linear trend. A student drew the line $y=2x+5$ on the scatter plot. Most points are within about 3 minutes vertically of the line. How would you describe the fit of this line?
A student simplifies the equation $4(x-3)+6=2x-2$ . How many solutions does the equation have?
Based on the data table comparing customer wait times at two restaurant locations, which conclusion about service efficiency is most reasonable?
The diagram shows a cylinder with radius r and height h. If both the radius and height are tripled, by what factor does the volume increase?
A city council wants to determine residents' opinions on a new park proposal. They mail surveys to every household but only receive responses from 15% of households. What can be concluded about generalizing these results to all city residents?
Solve for $x$ . Clear fractions if it helps: $\frac{5}{6}x - \frac{1}{3}(x-9) = 12$
In a board game, players roll two dice. The first die determines which colored path to follow, and the second die determines movement along that path. If the game is modified so that rolling a 6 on the first die means the second die is rerolled until a non-6 appears, how does this change the independence of the dice rolls?
The diagram shows a right triangle with legs measuring 8 inches and 15 inches. If you create a similar triangle with the shorter leg measuring 12 inches, what will be the hypotenuse of the new triangle?
Which statement best describes the flaw in the student's argument?
A cylindrical pipe has an outer radius of $5$ cm and an inner radius of $3$ cm. If the pipe is $12$ cm long, what is the volume of the material used to make the pipe?

Practice tests