Name: Math 7 Quarterly #2 Review Sheet

1) Tom is building a fence around his circular garden. The only measurement he knows is that a flagpole in the exact center is 7 "

# feet from the edge of the

fence. Determine the amount of fencing Tom needs, to the nearest tenth of a foot.

2) An artist plans a sketch of a statue, using a scale of 1 inch to 6 feet. If the height of the statue in the drawing is 5 "

&

inches, what will the actual height of the statue be?

3) Identify the significance of Point A located on the graph below.

4) A map uses a scale of 1 in = 3.5 miles. If Springfield and Capital City are 14 inches apart on a map, write and solve a proportion that can be used to find the actual distance between the two cities.

5) At Baskin Robins, Keith bought 8 identical milkshakes for $22.32. Write a proportional equation to model the relationship between y, the total cost, and x, the number of milkshakes someone purchases.

7) Bill signed up for a membership at LA Fitness where he pays $35 per month, after an initial deposit of $80. If he has a maximum of $400 to spend, create an inequality that can be used to determine the number of months, m, he can keep his membership for.

8) Dwight can run 6 laps in 5 minutes. Jim can run 9 laps in 6 minutes. What is the absolute difference in their rates, in laps per hour?

9) Complete two equations to model the relationship between j and k.

𝐣 = 𝒌 =

6) The lengths and widths of a large and small notebook are proportional. The small notebook has a width of 3.4 inches and a length of 5.9 inches. If the large notebook has a width of 6.12 inches, determine its length.

10) At the market, the price of a fish is determined by how many pounds it weighs. The price of a fish that weighs 3.75 pounds is $21.75

Write an equation that can be used to determine the price, p, in dollars, of any fish based on the number of pounds, f, the fish weighs.

Explain the process you used to determine the equation.

11) Joe ate &# of a 20 ounce bag of chips in &

+

of an hour. How many ounces would he eat in 1 hour?

12) Determine which tank represents a proportional relationship. Explain why

For the proportional tank only, find the exact number of gallons filled after 1.25 hours.

13) An architect designs a rectangular bedroom using a scale of 2 inches = 13 feet. If the drawing of the room is 5 inches by 8 inches, find the actual area of the room.

14) Edison goal is to save at least $600 to buy a new TV. He has saved $140 already, and plans to save $45 each week. Create an inequality to model this scenario for w number of weeks.

15) Jed is baking shortbread for a bake sale. The recipe calls for 1 "

# cups of flour and -

.

stick of butter. How many cups of flour will Jed need if he uses 1 stick of butter?

16) The scale used for this drawing is 1 unit = 3 yards. What is the actual area of the triangle?

17) Pam and Jake drive trucks for a produce company. One day, Pam drove 12.75 miles in 1 "

- hours. Jake drove 54 miles

in &# hour.

a) Find Pam’s average speed, in miles

per hour b) Find Jake’s average speed, in miles

per hour

18) A garage floor is 28 feet in width by 42 feet in length. A scale drawing of the floor has a width of 4 inches. What is the area, in square inches, of the floor in the scale drawing?