Practice Test 8 - 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 writes: "If $a = 2.7$ and $b = 2.8$ , then $c = 2.75$ is the only rational number between $a$ and $b$ because it's exactly halfway." Which statement best corrects this misconception?
A rectangle has perimeter 40 cm. Its length is 3 cm more than its width. Let $\ell$ be the length and $w$ be the width. What are the dimensions of the rectangle?
The equations $y = 2x - 3$ and $4x - 2y = 6$ form a system. What can you conclude about this system without solving it?
The diagram shows quadrilateral $PQRS$ and quadrilateral $P'Q'R'S'$ after a dilation. Point $M$ is the center of dilation. If $PQ = 10$ units, $P'Q' = 15$ units, and the area of quadrilateral $PQRS$ is 48 square units, which relationship is true?
A simulation involves rolling a six-sided die 300 times. The results show: 1 appeared 45 times, 2 appeared 52 times, 3 appeared 48 times, 4 appeared 51 times, 5 appeared 49 times, and 6 appeared 55 times. Based on this simulation, what is the experimental probability of rolling an odd number?
On a coordinate plane, $\angle ABC$ measures $90^\circ$ . The angle is rotated $180^\circ$ about point $B$ to form $\angle A'B'C'$ . What is $m\angle A'B'C'$ ?
A school counselor surveyed 50 students about whether they have a curfew and whether they have regular chores at home. Results: - Curfew: Yes (30 students): 20 with chores, 10 without chores - Curfew: No (20 students): 5 with chores, 15 without chores What is the row relative frequency of students who have chores among students who have a curfew?
Which formula correctly gives the volume of a cone with radius $r$ and height $h$ ?
Consider the expression $4 + 3(2x - 1) + 2(x + 5)$ . After applying the distributive property, which property justifies combining $6x + 2x$ to get $8x$ ?
Triangle $ABC$ has vertices $A(4,-1)$ , $B(6,-1)$ , and $C(5,2)$ . It is reflected over the $y$ -axis to form triangle $A'B'C'$ . What are the coordinates of $C'$ ?
In the expression $2 + 3 \cdot 4 + 5$ , a student wants to add parentheses to change the value without changing the order of the numbers. The student writes $(2 + 3) \cdot (4 + 5)$ . What error did the student make?
A scientist measures the mass of a virus as $3.2 \times 10^{-18}$ grams and the mass of a bacterium as $9.5 \times 10^{-13}$ grams. How many times greater is the mass of the bacterium than the mass of the virus?
Triangle PQR undergoes a reflection across the y-axis followed by a rotation of 270° clockwise about the origin. If angle QPR in the original triangle measures 38°, what is the measure of the corresponding angle in the final image triangle after both transformations?
What is the value of $\sqrt{20a^2b} \cdot \sqrt{5ab^2}$ in simplest form, where $a, b > 0$ ?
Two libraries compared the number of books checked out daily over a month. Library M: median = 45 books, IQR = 12 books, range = 28 books. Library N: median = 52 books, IQR = 8 books, range = 35 books. Which analysis is most appropriate for comparing these libraries?
Triangle $ABC$ has vertices $A(1,2)$ , $B(3,2)$ , and $C(2,4)$ . The triangle is translated by the vector $(4,3)$ to form triangle $A'B'C'$ . What is the coordinate rule for this translation?
Simplify $\sqrt{72} - \sqrt{18} + \sqrt{8}$ .
Based on the graph of the quadratic function shown, which equation could represent this function?
A soccer player runs 9 m east and then 12 m north, making a right angle. How far is the player from the starting point?
A student claims that the equation $y = 3x + 0$ represents a non-proportional relationship because it contains the constant term $+0$ . Which statement best evaluates this claim?

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