1st Quarter Review #7 7th Grade Math 1) Dogs outnumber cats in an area by a ratio of 9 to 8. There are 180 dogs in the area, how many cats are there? 2) Which expression is equivalent to 5 20 A. 5 20 B. 5 ________ C. 6) 2 4 1 1 5 15 ______ 3) A recipe for lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he need? Name: _________________ 4) Use the graph to find the constant of proportionality (k) (unit rate). Write the answer as km/hour. 5) The rectangle below has a length of 12 units and an area of 40 units2. Find the width of the rectangle. x 20 12 Width: ______________ 5 3 _______ 7) Stella writes 1 of a 7 1 of a minute. 15 How many minutes does it take her to write a full page? 8) Evaluate each expression. A. 8x 2 for x 10 9) Use proportions to find the missing sides (x) and (y) of the triangle. page in _______ B. x for x 20 3 _______ C. 10 5x for x 5 _______ x = _______ y = ________ 10) If the price of an IPhone increased from $199 to $360, what was the percent of increase? 11) Use the graph to complete 12) A car goes 425 miles the missing portions of the table. on 12.5 gallon of gas. Find the unit rate. 13) Simplify each expression. A. 14) Change into a decimal. x 13 ______ 136 17 15) Use proportions to find the missing value (x). 6 7 B. (3 4) (8 7) 5 4 ________ Rentals 1 ? 10 ? 20 Commission ? 20 ? 60 ? 16) Graph and connect the following points, then find the area of the shape. ( -5, 4), ( -5, 0), and (3, 0). Area = _____________ C. 13 16 _____ D. 5 (8 2) 4 4 ______ 17) Identify the constant of proportionality (k) (unit rate) using the table below. x y 2 3 4 5 24 36 48 60 k = ____________ 18) In the United 19) Simplify each States, average life expression. expectancy increased from about 47 years to 77 2 1 A. 9 6 _______ years during the 20th 3 8 century. Find the percent of increase. B. 5 1 4 _______ 9 3 C. 1 2 D. 4 4 5 _____ 7 20) Find the perimeter and area of the triangle below. 6 12 3 3 ______ a). Perimeter = __________ b). Area = ______________