Practice Test 3 - 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.

A savings account uses simple interest. A student deposits $400 at $5\%$ simple interest per year for 3 years. How much interest will they earn?
Which expression is NOT equivalent to $3x + 2x + 4x$ ?
A student is trying to explain why $\frac{3}{4} \times \frac{2}{5} = \frac{6}{20}$ . Which visual representation would BEST help communicate the reasoning behind multiplying fractions?
A student council wants to predict the winner of a school election between candidates Martinez and Chen. They conduct three random surveys of 40 students each. Survey 1 shows Martinez leading 24-16, Survey 2 shows Chen leading 23-17, and Survey 3 shows Martinez leading 22-18. What conclusion is most appropriate?
A rectangular pyramid is sliced by a vertical plane that passes through the apex and the midpoint of one side of the base. What 2D shape is the cross-section?
A recipe calls for a ratio of flour to sugar of $3:2$ . Jake wants to represent this relationship using three different methods: a table showing equivalent ratios, the equation $f = \frac{3}{2}s$ where $f$ is flour and $s$ is sugar, and a coordinate graph. If Jake uses $6$ cups of flour, which representation would most clearly show that he needs exactly $4$ cups of sugar?
A garden bed is shaped like a trapezoid with parallel sides measuring $18$ feet and $14$ feet. If the height is $8$ feet, how much greater is this area compared to a rectangular garden with dimensions $12$ feet by $10$ feet?
To estimate the proportion of all students in a grade (the population) who have a reusable water bottle, three random samples of 40 students are taken. Sample results: Sample 1: 24 out of 40, Sample 2: 26 out of 40, Sample 3: 22 out of 40. Which statement best describes the estimates and their variability?
A water tank fills at a constant rate. After 3 minutes, there are 45 gallons. After 7 minutes, there are 105 gallons. What is the unit rate in gallons per minute, and which representation correctly shows this relationship?
A circular garden has an area of $36\pi\text{ m}^2$ . What is the garden's radius?
A game involves rolling a number cube (1-6) and flipping a coin. According to the sample space table shown, what is the total number of outcomes where the number rolled is greater than 4 AND the coin shows Heads?
To find the total cost of buying 7 items, which approach best demonstrates systematic problem analysis?
Two different number cubes labeled 1-6 are rolled. Event $F$ is: "Both numbers are odd." How many outcomes are in $F$ ?
Use the table shown to answer the question. In a survey of 120 students about their favorite subjects, what is the probability that a randomly selected student who likes Math also likes Science?
A rectangular pyramid is sliced by a plane that is parallel to the base. Which statement best describes the cross-section?
A bag contains only red and blue marbles. A student draws one marble, replaces it, and repeats this 200 times. The student draws a red marble 92 times. Based on the data, what is the best estimate for $P(\text{red})$ ?
Two science classes measured the length (in cm) of the same kind of leaf. Class 1: 8, 9, 10, 10, 11, 12 Class 2: 9, 10, 10, 11, 12, 13 The mean length for Class 1 is $10$ cm and for Class 2 is $11$ cm. Both classes have a MAD of $1.5$ cm. About how many MADs apart are the means, and what does that suggest about overlap?
Examine the histogram below showing the distribution of student heights in centimeters. If a student's height places them in the interval containing exactly 25% of all students, what is the probability that a randomly selected student from this specific interval is taller than 155 cm?
Which expression is equivalent to $5\left(x-\frac{2}{5}\right)+3x$ after simplifying?
Sarah's bank account had a balance of $42.50. She wrote a check for $67.25. To find her new balance using subtraction as adding the additive inverse, which calculation should she perform?

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