1 Henry spends the day at a ski resort. The total trip riding up the main chair lift and skiing down his favorite trail takes 40 to 50 minutes, depending on whether Henry takes a rest along the trail. He gets on the first chair lift at 8:00 am, he takes a one-hour lunch break from noon to one, and he is back at the base at 4:00 pm. What is the most reasonable number of round trips Henry made during this time period?

A 6 round trips
B 7 round trips
C 9 round trips
D 11 round trips
2 Which of the following situations can be represented by the equation p — (p x 0.30) — (p x 0.10) = 300?
A Selena is buying a desk for her office. After receiving a 30% clearance discount and paying a 10% tax, she pays $300 for the desk. How much did the desk originally cost?
B Wendy is buying a futon for her guest room. She does not want to miss a 30% off sale so she will pay an extra 10% of the original price to place the futon on layaway. If Wendy pays a total of $300, what was the original price of the futon?
C Richie is buying a model airplane. The original cost is p dollars, but it is on clearance for 30% off. Richie also receives an additional 10% off the original price for being a store employee. What was the plane’s original price if Richie paid $300, excluding tax?
D Alex receives a 30% commission on whatever clothing he sells in addition to his regular wage. After deducting 10% of his earnings for income tax, Alex’s paycheck was $300. What is the value of p, the clothing that Alex sold?
3 Which of the following category of shapes consists of only regular quadrilaterals?
A rectangles
B triangles
C parallelograms
D squares
4 Marshall is making a tent to put on a project board for social studies. The dimensions of his tent are shown. Not to be outdone, Kendal decides to make a tent similar to Marshall’s tent but much larger. Which of the following could be Kendal’s tent?

5 Adam has 2 fish tanks. Each tank is in the shape of a rectangular prism. One fish tank is 7.2 inches wide and 8 inches tall. The fish tank holds approximately 620 cubic inches of water when completely full. The other fish tank is 6.4 inches wide and 9 inches tall. The tank holds approximately 580 cubic inches of water when completely full. Which measurement is the most reasonable estimate of the area of the floor of the larger fish tank?
A 11 squared inches
B 56 squared inches
C 77 squared inches
D 88 squared inches
6 Mr. and Mrs. Kashir are buying new clothes for their 6-month old baby boy and their 18-month old baby girl. The store deeps records of the children’s ages and sends the parent’s notices of special sales. What age, in years, should the sales clerk enter for the Kashir’s baby girl?
A 0.5 years
B 1.5 years
C 1.8 years
D 2 years
7 A senior citizen living center is holding a book drive to provide residents with new reading material. One of the center administrators asks the local community for book donations. The pictograph shows the number of books and the genre of each book received form the community. Which inference is best supported by the pictograph?
A Senior citizens enjoy reading science fiction books more than any other type of book.
B People in the community read more science fiction and mystery books than biographies or humor books.
C Senior Citizens do not read many biographies.
D People in the community prefer to read nonfiction over fiction.

8 Look at the 2 rectangles below.
Which method could be used to prove that the rectangles are similar?
A Divide 3 by 2 and 4 by 1.5 to see whether the quotients are the same
B Divide 1.5 by 4 and 2 by 3 to see whether the quotients are the same
C Divide 4 by 1.5 and 2 by 3 to see whether the quotients are the same
D Divide 3 by 1.5 and 4 by 2 to see whether the quotients are the same
9 The measure of each of the smaller angles of a parallelogram is 30◦. What is the measure of each
of the larger angles?
A 30◦
B 60◦
C 150◦
D 165◦
10 Emily has e dollars. Marge has 2 times the number of dollars Emily has, plus 5 more dollars. Which expression describes the number of dollars Marge has?
A e
2 − 5
B e
2 + 5
C 2e − 5
D 2e + 5

I already did this stuff in school.

It is your turn to try.
I suspect someone will check your results.

1. To find the most reasonable number of round trips Henry made, we need to consider the total time he spent skiing. We know that Henry starts at 8:00 am and finishes at 4:00 pm, so he has a total of 8 hours on the slopes. During this time, he takes a one-hour lunch break from 12:00 pm to 1:00 pm. Therefore, he has 7 hours of skiing time.

The total trip riding up the main chair lift and skiing down his favorite trail takes 40 to 50 minutes. Let's assume Henry takes the longest time of 50 minutes for each round trip. This means he can do a maximum of 60 minutes of skiing in 50 minutes (including any rest he takes).

To find the number of round trips he can make, divide the total skiing time by the time it takes for each round trip:
7 hours * 60 minutes/hour = 420 minutes of skiing
420 minutes / 50 minutes per round trip = 8.4 round trips

Since we can't have a fraction of a round trip, the most reasonable number of round trips Henry made during this time period is 8 round trips. Therefore, none of the given answer choices (A, B, C, D) are correct.

2. To determine which situation can be represented by the equation p - (p x 0.30) - (p x 0.10) = 300, we can analyze the equation itself. Let's break it down:

p - (p x 0.30) - (p x 0.10) = 300

This equation represents a situation where there is an initial value (p), followed by a 30% discount, and then a 10% tax or additional cost. The result of these calculations should equal $300.

Looking at the given answer choices, option A best matches the given equation:
A) Selena is buying a desk for her office. After receiving a 30% clearance discount and paying a 10% tax, she pays $300 for the desk. How much did the desk originally cost?

Therefore, the correct answer is A.

3. Regular quadrilaterals are quadrilaterals that have all sides and angles congruent. Among the given shapes, the only one that consists of only regular quadrilaterals is the square. Therefore, the correct answer is D.

4. Without the specific dimensions of Marshall's tent, we cannot determine which of the following could be Kendal's tent. The options are not provided, so we cannot make a comparison or determine the feasibility. Therefore, the answer is not determinable based on the given information.

5. To estimate the area of the floor of the larger fish tank, we can use the concept of ratio and proportion.

The ratio of the dimensions of the first fish tank is 7.2 inches wide by 8 inches tall. The volume of the tank is 620 cubic inches.
The ratio of the dimensions of the second fish tank is 6.4 inches wide by 9 inches tall. The volume of the tank is 580 cubic inches.

To estimate the area of the floor of the larger fish tank, we need to compare the ratios of the dimensions:
7.2/8 = 0.9
6.4/9 ≈ 0.71

Since the second fish tank has a smaller ratio, its floor area should be smaller than the first fish tank. Therefore, the most reasonable estimate for the area of the floor of the larger fish tank is less than the first fish tank's area. Among the given options, the closest estimate is B) 56 squared inches.

6. The question asks for the age, in years, that the sales clerk should enter for the Kashir's baby girl. We are given the ages of the children in months.

A 6-month-old baby boy is equal to 6/12 = 0.5 years
An 18-month-old baby girl is equal to 18/12 = 1.5 years

Therefore, the age the sales clerk should enter for the Kashir's baby girl is B) 1.5 years.

7. Based on the pictograph, we can determine which genre of books received the most donations.

Looking at the pictograph, we can see that the bar representing the "science fiction" genre is the tallest. This means that more science fiction books were donated compared to the other genres.

Therefore, the best-supported inference is B) People in the community read more science fiction and mystery books than biographies or humor books.

8. To prove that two rectangles are similar, we need to compare their corresponding side lengths. In this case, the rectangles have side lengths labeled 3, 2, 4, and 1.5.

To determine if the rectangles are similar, we can divide corresponding side lengths and check if the quotients are the same. Let's try each option:

A) Divide 3 by 2 and 4 by 1.5 to see whether the quotients are the same: 3/2 = 1.5 and 4/1.5 ≈ 2.67, not the same.

B) Divide 1.5 by 4 and 2 by 3 to see whether the quotients are the same: 1.5/4 ≈ 0.375 and 2/3 ≈ 0.6667, not the same.

C) Divide 4 by 1.5 and 2 by 3 to see whether the quotients are the same: 4/1.5 ≈ 2.67 and 2/3 ≈ 0.6667, not the same.

D) Divide 3 by 1.5 and 4 by 2 to see whether the quotients are the same: 3/1.5 = 2 and 4/2 = 2, the quotients are the same.

Based on these calculations, option D) Divide 3 by 1.5 and 4 by 2 to see whether the quotients are the same is the correct method to prove that the rectangles are similar.

9. The measure of each of the smaller angles of a parallelogram is given as 30°. In a parallelogram, opposite angles are congruent. Therefore, the measure of each of the larger angles is also 30°. The correct answer is A) 30°.

10. Let's define variables to represent the number of dollars Emily has (e) and the number of dollars Marge has. We are given that Marge has 2 times the number of dollars Emily has, plus 5 more dollars.

Marge's number of dollars = 2e + 5

Therefore, the expression that describes the number of dollars Marge has is D) 2e + 5.