Practice Test 7 - 7th 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.

When simplifying $\frac{1}{4}(8x - 12) - \frac{1}{3}(6x - 9)$ , what is the result after applying the distributive property but before combining like terms?
A cylinder is sliced by a vertical plane that passes through the center axis of the cylinder. What 2D shape is the cross-section?
Examine the histogram below. If a student is randomly selected from this class, what is the probability that their height is less than 60 inches?
Two students are comparing $\left|\frac{-3}{4}\right|$ and $\left|-\frac{3}{4}\right|$ . Student A says they're equal because "absolute value makes everything positive." Student B says they're different because "the negative signs are in different places." Who is correct and why?
A box contains 15 chocolates: 5 dark, 6 milk, and 4 white chocolate pieces. Sarah eats 2 dark chocolates and 1 milk chocolate. Then she randomly selects 2 more chocolates from the remaining pieces. What is the probability that both selected chocolates are white? Express your answer as a decimal rounded to the nearest thousandth.
Refer to the number line. Point $A$ represents $-\frac{7}{8}$ and point $B$ represents $\frac{1}{4}$ . If we calculate $-\frac{7}{8} + \left(-\frac{3}{8}\right)$ using the distance interpretation, where does the sum land relative to the marked points?
A middle school wants to determine students' opinions about the cafeteria food. The nutrition director surveys students as they exit the lunch line, asking "How would you rate today's delicious meal?" Most students give positive ratings. What makes this survey method problematic?
The diagram shows two similar rectangles PQRS and WXYZ. Based on the given measurements in the figure, which statement about the rectangles is correct?
A recipe uses 3 cups of flour for each batch of muffins. The number of cups of flour $y$ is proportional to the number of batches $x$ . What is the constant of proportionality $k$ in $y=kx$ (cups per batch)?
The graph shows the relationship between cups of flour and number of cookies made. Based on this graph, which verbal description correctly represents the same relationship?
Which expression is equivalent to $5\left(x-\frac{2}{5}\right)+3x$ after simplifying?
A runner's elevation changes are recorded as integers. Evaluate: $-6-9$ (rewrite subtraction as addition if helpful).
The area of a trapezoid is $84$ square inches. One parallel side is $9$ inches and the height is $7$ inches. What is the length of the other parallel side?
A class is collecting cans. Last week they collected $p$ cans, but this week they collected 20% fewer. The amount this week is $p - 0.20p$ . Which equivalent expression makes it easiest to find the new amount?
Two fair six-sided dice are rolled. There are 36 outcomes in the compound sample space. What is the probability that the sum is 7?
Given the inequality $5w - 8 ≤ 27$ , which word problem correctly matches this mathematical statement?
A store manager analyzed monthly sales data and found that the data follows this pattern: 20% of months had sales between $10,000-$15,000, 35% had sales between $15,001-$20,000, 30% had sales between $20,001-$25,000, and 15% had sales above $25,000. If the manager displays this information in both a histogram and a circle graph, what will be the central angle difference between the largest and smallest sections in the circle graph?
A fundraiser collects $520$ in donations. The website charges a $3\%$ processing fee, then the organizer pays a flat $5$ transfer fee. How much money is left after both fees (rounded to the nearest cent)?
Use the table showing the dimensions of three different rectangular rooms. Room C measures 14 feet by 8 feet. If each room needs flooring that costs 4 dollars per square foot, and Room C also needs crown molding that costs 8 dollars per linear foot around its perimeter, what is the total cost for all materials needed for Room C?
Refer to the diagram showing rectangles KLMN and PQRS. If these rectangles are similar and the area of rectangle KLMN is 96 square cm, what must be true about the dimensions of rectangle PQRS?

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