Practice Test 12 - 6th 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 class collected 18 cans for a food drive. Each student brought the same number of cans. If 6 students participated, let $x$ be the number of cans each student brought. Solve the equation $6x=18$ .
Use the distributive property to write $36+8$ by factoring out the greatest common factor. Which expression is correct and fully reduced (the numbers inside the parentheses share no common factor greater than 1)?
Evaluate the expression $3x+5$ when $x=4$ .
A scientist collected data on plant heights (in cm): 12, 15, 18, 14, 16, 13, 17, 15, 16, 14. She calculated the mean as 15 cm and the range as 6 cm. Her assistant claims that since the mean equals one of the data values (15), the variation must be very small. How should the scientist respond to evaluate this claim about measures of center and variation?
In a science lab, one thermometer reads $2^\circ\text{C}$ and another reads $-3^\circ\text{C}$ . Which inequality correctly compares the temperatures, and what does it mean on a number line?
A rectangular prism has dimensions $5\text{ in} \times 4\text{ in} \times 3\text{ in}$ . Which list correctly describes the faces you would see in a complete net of the prism?
A science class measured plant heights (in cm): 12, 14, 15, 15, 16, 18, 20, 21. A student wants to show the five-number summary on a number line using a box plot. Which option describes the correct box plot?
A store manager needs to restock two items on the same schedule. Item X needs restocking every 9 days and Item Y needs restocking every 12 days. Both items were restocked today. The manager wants to know the next three dates when both items will need restocking on the same day. How many days from now will the third such date occur?
A student says, "Because $|-8|>|-2|$ , the inequality $-8>-2$ must be true." Which statement correctly fixes the student's reasoning using the number line?
Six friends recorded how many stickers they collected in a week: 6, 7, 7, 8, 9, 30. The value 30 is an outlier. Which statement best describes what happens if you use the range instead of the IQR to describe variability?
Looking at the coordinate plane, if you were to create a table of values for these points, what would be the $y$ -value when $x = 0$ ?
A ribbon is $12.5$ cm long and another ribbon is $3.75$ cm long. What is the total length? Compute $12.5 + 3.75$ using the standard algorithm (write $12.50 + 3.75$ ).
A teacher says: "The mean of our homework times is 30 minutes, so the times do not vary much." Which statement best explains the mistake?
A recipe calls for flour to be divided equally into 8 portions. Each portion must weigh less than 0.75 pounds. Which situation corresponds to the inequality $\frac{f}{8} < 0.75$ ?
Look at the coordinate plane. What is the area of triangle PQR?
A classroom has $x$ students. 7 fewer than that number join an after-school club. Which expression represents the number who join?
Divide using the standard long division algorithm: $3065\div 7$ . Give the quotient and remainder.
A rectangular prism is filled by packing $\tfrac{1}{2}\text{ ft} \times \tfrac{1}{2}\text{ ft} \times \tfrac{1}{2}\text{ ft}$ unit cubes. The prism's dimensions are $2\text{ ft} \times 1\text{ ft} \times \tfrac{1}{2}\text{ ft}$ . How many of these $\tfrac{1}{2}$ -foot cubes fit exactly in the prism?
A movie theater charges a $12 ticket plus $2 per snack. Let $s$ be the number of snacks and let $c$ be the total cost in dollars. Which choice correctly identifies the independent and dependent variables?
Jake's bank account shows these transactions: starts with $25, withdraws $40, deposits $15, then withdraws $12. What is his final balance?

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