Practice Test 12 - 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.

Start practice test

1. A student says the point $(4,3)$ is the solution to this system because it is on one of the lines: $\begin{cases} y=\tfrac{1}{2}x+1 \\ y=-x+7 \end{cases}$ Is $(4,3)$ a solution to the system (does it satisfy both equations)?
2. The boxplot depicted below represents the weights of dogs at a veterinary clinic. If the veterinarian wants to identify dogs that are unusually heavy compared to the rest, which criterion should be applied based on the boxplot shown?
3. If $c$ represents cupcakes and $k$ represents cookies, which inequality is NOT part of the constraint system?
4. A gym sells day passes and monthly passes. A day pass costs $6 and a monthly pass costs $30. On one day, the gym sold 40 total passes and collected $720. Let $d$ be the number of day passes and $m$ be the number of monthly passes. Which system represents the situation and what are $d$ and $m$?
5. The figure shows a rectangular garden with a diagonal path. If the garden is 12 feet wide and the diagonal path is 20 feet long, what is the length of the garden?
6. The quadratic function $h(t) = -16t^2 + 64t + 80$ models the height of a projectile in feet after $t$ seconds. At what time does the projectile reach its maximum height, and when does it hit the ground?
7. The figure shows intersecting lines where line $a$ is perpendicular to line $b$, and line $c$ makes a $65°$ angle with line $a$. What is the acute angle between lines $b$ and $c$?
8. The relation is given by the ordered pairs: $\{(2,3),(2,5),(4,7)\}$ Which statement correctly explains whether this relation is a function?
9. A scatter plot shows the relationship between the number of laps swum ($x$) and total time in minutes ($y$). A student drew a line of best fit. To judge how well the line fits, which distances should you mainly look at?
10. In the diagram, quadrilateral $PQRS$ is shown with $\overline{PQ} \parallel \overline{SR}$ and $\overline{PS} \parallel \overline{QR}$. The quadrilateral is reflected across line $k$, and then the image is rotated $45°$ about point $T$. What is true about the sides of the final image quadrilateral?
11. A student drew a line of best fit for a scatter plot of (x = number of texts sent, y = phone battery percent used). One point is far away from the rest (an outlier). Which choice best describes how the line should be drawn?
12. A proportional relationship is graphed as a line through the origin. If similar triangles formed using this line show that when the horizontal leg increases by 5 units, the vertical leg increases by 8 units, which equation represents this relationship?
13. A rectangular garden has a length that is $\frac{3}{4}$ times its width. If the perimeter of the garden is $42\frac{1}{2}$ feet, what is the width of the garden?
14. The graph shows the relationship between time and the height of water in a tank. Which characteristic of this graph indicates that the relationship is non-proportional?
15. Using deductive reasoning, what conclusion can be validly drawn about Figure $W$?
16. A school fundraiser collected about $5\times10^3$ cans of food. The city food bank collected about $2\times10^6$ cans in the same month. About how many times more cans did the food bank collect than the school fundraiser?
17. A student wants to approximate $\sqrt{2}$ to the nearest hundredth using successive bounds. They know $1.41^2 = 1.9881$ and $1.42^2 = 2.0164$. Which statement is correct?
18. A student writes this relation as ordered pairs: $\{(2,5),(2,7),(4,9),(6,11)\}$ Is this relation a function? If not, why?
19. Point P(8, 12) is dilated with center at point Q(2, 4) and scale factor $k$ to create point P'(5, 7). What is the value of $k$?
20. Simplify $\frac{\sqrt{72a^3}}{\sqrt{8a}}$ where $a > 0$.

Practice tests