Practice Test 10 - 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 computer stores two video files. One file is $9.1\times10^8$ bytes and the other is $3.4\times10^7$ bytes. How many more bytes is the larger file than the smaller file? Write your answer in scientific notation.
A line passes through the three points $(0,1)$ , $(2,5)$ , and $(4,9)$ . Which choice correctly shows that the slope is constant and gives the equation of the line?
Looking at the diagram shown, rhombus $WXYZ$ undergoes a dilation with center $O$ at the origin to produce rhombus $W'X'Y'Z'$ . If the distance from the origin to vertex $W$ is 10 units and the distance from the origin to vertex $W'$ is 4 units, compare the rhombuses.
Refer to the coordinate plane. Triangle $PQR$ and triangle $STU$ are similar, where both triangles have one vertex on the origin and demonstrate that the slope is constant along line $\ell$ . If the slope of line $\ell$ is $\frac{3}{4}$ , what is the equation of line $\ell$ ?
Carlos wants to borrow $8,000 for a motorcycle. He can choose between 5% annual simple interest for 4 years or 7% annual simple interest for 2 years. If he wants to minimize his total payment, which loan should he choose and how much will he save?
Sarah claims that $4(2x - 3) + 8x = 16x - 12$ is always true. To justify her claim, she needs to show that the left side is equivalent to the right side. Which sequence of properties would correctly justify this equivalence?
A square has a diagonal of length $8\sqrt{2}$ units. What is the area of this square?
Function A is given by $f(x)=x+9$ . Function B is described as: "It starts at 3 when $x=0$ and increases by 4 for every 1 increase in $x$ ." Which function will have the greater output for large values of $x$ (for example, $x=100$ )?
Two students are comparing a graph and an algebraic solution for the system: $\begin{cases} y=-2x+9 \\ y=x \end{cases}$ They claim the lines intersect at $(3,3)$ . Which check correctly verifies that $(3,3)$ is the intersection (solution) of the system?
Which is greater?
In the figure shown, line segments AB and CD are parallel, and line EF is a transversal that intersects them. If the measure of angle 1 is $(2x + 15)°$ and the measure of angle 5 is $(3x - 25)°$ , where angles 1 and 5 are alternate interior angles, what is the measure of the supplement of angle 1?
A bakery's flour usage follows the equation $f = 3.5h$ , where $f$ is pounds of flour and $h$ is hours worked. A second bakery's usage is shown in the graph. During a 6-hour shift, how much more flour does the bakery with higher usage consume?
The equation $y = -2x + 50$ represents the amount of water $y$ (in gallons) remaining in a tank after $x$ minutes of draining, where the tank starts with 50 gallons. What is the most restrictive domain for this real-world situation?
Which statement is true about $\sqrt{20}$ ?
A researcher studying teen social media usage recruits participants through Instagram ads asking teens to volunteer for the study. What type of sampling issue does this create, and how might it affect conclusions?
Polygon $A$ is obtained from polygon $B$ by a dilation with scale factor $1$ . Which statement is true?
A student says the points $(2,5)$ , $(4,9)$ , and $(6,13)$ lie on one straight line. Which calculation correctly checks that the slope is the same between the first two points and the last two points?
Examine the coordinate plane. Point $P$ can be any location in the shaded region. Which statement about the coordinates of point $P$ is always true?
Rectangle $R$ has side lengths $2$ cm by $4$ cm. Rectangle $S$ has side lengths $3$ cm by $5$ cm. Are rectangles $R$ and $S$ similar?
On a coordinate plane, the relation consists of the points $(-2,1)$ , $(-1,1)$ , $(0,1)$ , $(1,1)$ , and $(2,1)$ . Does this graph represent a function (use the vertical line test)?

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