2nd Quarter Review #1 7th Grade Math 1) An item costs $15. The sales tax is 6%. Find the tax and the total cost of the item. 2) Which expression is equivalent to 8 3 A. 12 2 ______ B. 20 4 C. 20 4 3) Danielle has worked 5.3 hours so far this week. For the remainder of the week, she is scheduled to work 1 22 more hours. How many 2 total hours will Danielle work this week? Name: _________________ 4) Use the graph to find the constant of proportionality (k) (unit rate). x ____ 11 Tax = _________ Cost = ____________ 5) The rectangle below has a length of 11 units and an area of 35 units2. Find the width of the rectangle. _______ Width: ______________ K = __________ 6) 4 7 15 20 7) A cookie recipe uses 1 1 cups of flour for 2 3 every cup of sugar. If 8 Andrea is making a large batch of cookies with one cup of sugar, how many cups of flour will she need? 8) Evaluate each expression. A. 5x 20 for x 3 9) Cindy can run 2 of an hour. 3 Compute the unit rate for marathon distance per hour. marathon in _______ B. x for x 18 2 _______ C. 7 5x for x 4 _______ 3 of a 20 10) Use proportions to find the height of the tree. 11) The population at Dos Pueblos High increased from 1800 students ten years ago to 1926 students last year. What was the percent of increase? 12) Which is the best buy? 13) Simplify each expression. 2 liters for $3.80 _______ A. 1.5 liters for $2.70 ______ 3 liters for $4.75 _______ 14) Change into a decimal. 12 x ______ 5 10 8 5 B. 35% of what number is 14? _______ C. 15 20 15) A person 150 cm tall casts a shadow 100 cm long. A building casts a shadow of 240 cm. Use proportions to find the height of the building. _____ D. 2 (3) 8 4 ______ 16) Graph and connect the following points, then find the area of the shape. ( -3, 1), ( -3, -5), and (2, -5). 17) Identify the constant of proportionality (k) (unit rate) using the table below. Time 2 3 5 6 18) A $39 pair of jeans is on sale for 25% off. Find the discount and the final cost of the jeans. Distance 90 135 225 270 Discount = _________ Area = _____________ k = ____________ Cost = ____________ 19) Simplify each expression. 1 ______ 3 20) Find the perimeter and area of the triangle below. A. 4 B. 1 2 5 2 _______ 6 3 C. 1 9 7 13 3 2 ______ 4 D. 2 6 _____ 9 a). Perimeter = __________ b). Area = ______________