Practice Test 9 - 8th Grade Math

15 of the 20 questions below are in this test; the other 5 can't be scored yet. Answer them in any order, then submit to see your score and every explanation.

In a simulation to find the probability of drawing a red card from a standard deck, Josh uses a random number generator that produces integers from 1 to 52. He assigns numbers 1-26 to represent red cards. After 80 trials, he gets 28 numbers in the range 1-26. What should Josh conclude about his experimental probability?
The graph shows quadratic function $r(x)$ with its vertex labeled. What is the range of this function?
Consider the true statement: "If a shape is a square, then it has four sides." What is the inverse of this statement, and is it true or false?
A cylindrical oil drum has a capacity of $V = \pi r^2 h$ cubic units. The drum is designed so that the surface area of the curved side equals the area of both circular ends combined. Find the relationship between radius and height.
Two lines are graphed on a coordinate plane. One line is $y=x+2$ and the other is $y=x-3$ . How many solutions does the system have?
A cone-shaped paper cup has a diameter of 8 cm and a height of 12 cm. If the cup is filled to exactly $\frac{3}{4}$ of its height with water, what fraction of the total cup volume is occupied by water?
Parallelogram $EFGH$ undergoes a dilation centered at vertex $E$ with scale factor $k$ to produce parallelogram $E'F'G'H'$ . According to the coordinate plane, the distance $EF$ is 5 units and the distance $E'F'$ is 2 units. Which comparison between the parallelograms is accurate?
The system of equations $\begin{cases} 2x + 3y = 12 \\ x - y = 1 \end{cases}$ can be solved using substitution. If you solve the second equation for $x$ and substitute into the first equation, what equation in terms of $y$ do you get?
A student claims: " $\sqrt{16}$ is irrational because it has a square root symbol." Which statement correctly classifies $\sqrt{16}$ ?
A science experiment measures the temperature of a cup of hot water as it cools. At first, the temperature drops quickly, and later it drops more slowly (it starts steep and then levels off). Which type of graph best matches this situation (time on x-axis, temperature on y-axis)?
The coordinate plane shows four different lines. Which line represents a proportional relationship?
Based on the coordinate plane, which verbal description correctly represents the linear function shown?
When solving $\frac{1}{2}(4x + 6) = 2x + n$ , Alex gets the result $3 = n$ . What can you conclude about the original equation?
To solve the system $\begin{cases} x + 2y = 8 \\ 3x - y = 5 \end{cases}$ using elimination, a student decides to eliminate $x$ . What should she multiply the first equation by?
A school fundraiser sells tickets for $8 each and has already raised $240. They need to raise at least $800 total. Using the number line, how many more tickets must they sell?
A student solves $\frac{3x - 1}{2} + \frac{x + 4}{3} = 5$ by first finding a common denominator. After rewriting with common denominators but before combining, what should the equation look like?
A phone plan charges $C(m) = 25 + 0.10m$ dollars for $m$ minutes of usage. The plan allows a maximum of 2000 minutes per month. In this context, which statement about the function is incorrect?
At Lincoln Middle School, 60% of students play sports and 40% are in the band. If playing sports and being in band are independent events, what is the probability a randomly selected student does both? If these events are actually dependent with P(band | sports) = 25%, what is the probability a student does both?
A ramp forms a right triangle with the ground. The ramp is 13 feet long (the hypotenuse), and it rises 5 feet vertically. How far is the bottom of the ramp from the point directly below the top (the horizontal distance)?
Segment $\overline{EF}$ has endpoints $E(2,1)$ and $F(2,6)$ . It is rotated $90^\circ$ counterclockwise about the origin to form $\overline{E'F'}$ . What is the length of $\overline{E'F'}$ ?

Practice tests