4th Quarter Review #4 7th Grade Math 1) Howard picks apples at an orchard. He earns $4.35 for each hour he works and $2.20 for each bushel he picks. His goal is to earn at least $100 this week. Which inequality will help Howard determine the number of hours (h) and bushels (b) he needs to reach his goal? a). 4.35h 2.20b 100 b). 4.35h 2.20b 100 c). 4.35h 2.20b 100 d). 4.35h 2.20b 100 6) 1 4 9 8 2) Change 14 into a 3 decimal. 7) Simplify: 4(3x 6) 3(2 x 9) 3) Tim has a fish tank. He wants to know how much water it will take to 5 fill it to of its 6 capacity. Tim pours 20 quarts of water into the tank and realizes that it is 1 full. How many 6 gallons does he still need? 8) A rectangular piece of land will be divided diagonally into two congruent triangular sections. One section will be covered with grass, and the other section will be paved. The blueprint measurements for the piece of land are 5 inches wide by 12 inches long. 1 The scale is in = 10 ft. 4 How much area will be paved? Name: _________________ 4) On a drawing, Mr. 5) Find the surface area. Byrd’s living room has a scale of 3 : 2 (length to width). If the actual living room is 18ft. in length, find the width and perimeter of the living room. Width = __________ Perimeter = _________ S. A. = ________________ 9) Find the radius, area, and circumference of the circle. 10) Tim wants to put this picture on the school webpage in a space that is 6 inches tall. If he enlarges the picture proportionally so that it is 6 inches tall, how wide will it be? 1 2 in. 2 Radius: ___________ Area: ____________ Circumference: _______ 1 1 in. 4 11) If the volume of the fish tank is 240 units 3 , find the height of the tank. height = ______________ 16) Melissa divided 5 dozen flowers into 3 baskets to give as presents. The first basket had ( x 8) flowers, the second basket had ( 2 x) flowers, and the third basket had ( x 12) flowers. How many flowers were in the basket that had the most flowers? 12) Describe the relationship of ABD and 13) DBC 5a 4 2a 2 3a 2 7a a). b). c). d). Simplify: 14) Antonio can drive 15) Find the area of the unhis car 1,433.44 miles on shaded region if the length of a single tank of gas. If one side of the square is 4 cm. his car can hold 24.8 gallons of gas, what is his car’s average gas mileage? Vertical & Complementary Adjacent & Complementary Vertical & Supplementary Adjacent & Supplementary 17) Matt’s garden has an area of 120 m 2 . If the length of the garden is 15 m, what is the perimeter of the garden? x 15 Perimeter = _________ 18) Solve and graph. 2w 5 11 19) At Country 20) Which of the following has Landscape, Mr. the smallest area? McDonald can buy 12 three-pound-bags of mulch for $24. How a). Circle with diameter 9 ft. many bags can he buy for ____________________ $200? b). Triangle with base of 20 ft. and height 11 ft. ______________________ c). Square with side length of 10.5 ft. ______________________