Practice Test 3 - 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.

If $a$ represents adult tickets and $s$ represents student tickets, which system of inequalities represents this situation?
The figure shows two cylindrical cans with the same volume. Can A has radius 3 cm and height 8 cm. Can B has radius 6 cm. What is the ratio of the height of Can B to the height of Can A?
Order these distances from smallest to largest: $3\times 10^{-4}$ m, $6\times 10^{-2}$ m, $2\times 10^{-3}$ m, $5\times 10^{-5}$ m.
A line goes through the points $(0,2)$ and $(3,8)$ . What is the equation of the line in the form $y=mx+b$ ?
A student is working with the expression $(3 + 5) \cdot 2 + 4 \cdot 2$ and rewrites it as $2(3 + 5) + 2 \cdot 4$ . The student then claims this equals $2(3 + 5 + 4)$ . Which statement about the student's work is correct?
A ball is thrown upward and its height $h(t) = -16t^2 + 32t + 6$ gives the height in feet after $t$ seconds. The ball hits the ground when $h(t) = 0$ . Which statement correctly identifies both variables and explains a domain restriction?
A car's fuel efficiency E (in miles per gallon) is related to its speed s (in mph) by the equation $E = 45 - \frac{s - 30}{6}$ . At what speed does the car achieve maximum efficiency of $45$ miles per gallon?
A student says, " $\pi$ is rational because $\pi=\frac{22}{7}$ ." Which statement is true?
Function A is given by $f(x)=6x-4$ . Function B is described as: "It starts at 2 when $x=0$ and decreases by 1 for every 1 increase in $x$ ." Which statement is true?
Three lines $p$ , $q$ , and $r$ are drawn such that $p \parallel q$ and $r$ intersects both $p$ and $q$ . All three lines undergo a reflection across line $\ell$ , then a $45°$ counterclockwise rotation about point $O$ , then a translation by vector $\vec{v}$ . After these transformations, which relationship must be true?
A parabola has the equation $y = -(x - 2)^2 + 9$ . If this parabola is reflected across the x-axis and then shifted 3 units to the left, what are the coordinates of the vertex of the new parabola?
Line $j$ is defined by the equation $2x - 5y = 15$ . Line $k$ is parallel to line $j$ and has a $y$ -intercept that is 4 units greater than the $y$ -intercept of line $j$ . What is the equation of line $k$ ?
Rationalize the denominator of $\frac{6}{\sqrt{12}}$ and express in simplest form.
Based on the box plots shown, which inference about the two basketball teams' scoring patterns is most supported by the data?
Circle A has radius 4 and circle B has radius 6. If circle A can be mapped onto circle B using a dilation, and then circle B is dilated by scale factor $\frac{1}{2}$ to create circle C, what is the radius of circle C?
Maya is comparing two car loans for $12,000. Loan A offers 6% annual interest for 3 years. Loan B offers 4% annual interest for 5 years. Using simple interest, what is the difference in total interest paid between these two loans?
Points $A(-2,4)$ and $B(3,-1)$ are plotted on a coordinate plane. What is the distance $AB$ ? (Round to the nearest tenth.)
A student measures two tiny lengths: $0.0045$ meters and $3.2\times10^{-3}$ meters. What is the sum, written in scientific notation?
Solve the equation: $x^2 = \dfrac{1}{16}$ . What are all real solutions for $x$ ?
A triangle has side lengths $5$ , $12$ , and $13$ . What can you conclude using the converse of the Pythagorean Theorem?

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