36y - 36 = 6(_?_) n 1 3 5

Transcription

1 1 Which expression makes the equation true for all values of x? A 30y - 30 B 6y - 36 C 6y - 6 D 3y y - 36 = 6(_?_) 2 Simplify the following expression: n + 6n + 2 n n A triangle has side lengths of (9.7x + 5.1y) centimeters, (3.4x z) centimeters, and (8.2z 9.7y) centimeters. Write an expression that represents the perimeter, in centimeters, of the triangle. 13.1x 4.6y z 4 Which expression is equivalent to t 4.2t + 7.2? A 10.8(2 + t) B 1.2(6 + 2t) C 2.4(9 + t) D 4.8(3 + 2t) 5 The measure of one side of a square is (q + 5) inches long. Which pair of expressions both represent the perimeter of this square? A 4(q + 5) and (q + 5) + (q + 5) + (q + 5) + (q + 5) B 4q + 5 and (q + 5) + (q + 5) + (q + 5) + (q + 5) C 2(q + 5) and (q + 5)(q + 5) D 2q + 5 and (q + 5)(q + 5)

2 6 Sabila drew a rectangle that was x inches wide. The expression 2(4x) + 2(x) represents the perimeter of the rectangle that Sabila drew. Which statement relates the perimeter to the width of the rectangle? A The perimeter is 2 inches more than the width B The perimeter is 2 times the width C The perimeter is 10 inches more than the width D The perimeter is 10 times the width 7 Deron earns $11.25 per hour working at a IHOP. On Wednesday he spent 2 hours cleaning, 1 hours doing paperwork, and 3 hours serving customers. What were Deron s earnings? $ Nicole wants to hang 3 picture frames in her room. The widths of the frames are 8 inches, 1 feet, and 1 foot, 3 inches. If she hangs them next to each other with 2 inches between them, what is the total width of the wall space she will need? inches or 3 feet, inches 9 Mr. Diefenbach bought s number of shirts for the new members of his band. The cost for s number of shirts, including $5.99 shipping, was $ Each shirt cost $9.75. There was no sales tax on this purchase. Which equation can be used to find s? A 5.99(s ) = B 9.75s = C 5.99s = D 9.75 (s ) = 63.59

3 10 Ms. Savage needs a total of 412 colored pencils for her art class. She currently has 139 colored pencils. If each set of colored pencils has 15 pencils, what is the minimum number of sets of pencils she should buy? 19 sets of pencils 11 The perimeter of a certain hexagon is 8.5 centimeters. The side lengths of the hexagon, in centimeters, are shown below. What is the value of h? 0.7 2h 1.5h 1.5h h 1.2 h = 1.1 cm 12 When Madeline installed a fence along the 300-meter perimeter of her rectangular back yard, she left an opening for a gate. In the diagram below, she used g to represent the length, in meters, of the gate. 45 m g 90 m What is the value of g? g = 15 m 13 Camila paid a painter d dollars per hour for a 3-hour job plus $60 for supplies. The total charge was $160. Which equation can be used to determine how much the painter charged per hour? A 3d = B 3d = C (60 3)d = 160 D (60 + 3)d = 160

4 14 Malena bought 7 bracelets that each cost the same amount and 1 pair of earrings that costs $15. The items she bought cost a total of $260 before tax was added. What was the cost of each bracelet? $35 15 Susan needs at least 66 signatures from students in I.S. 230 before she can run for student government. She has 11 signatures already. She and four of her friends plan to get the remaining signatures during lunch. If each person gets the same number of signatures, write an inequality to find the minimum number of signatures each person should get so Susan can run for student government. 5x Miah wants to jog more than 210 kilometers this month. She has already jogged 70 miles. Write an inequality could be used to determine the mean number of kilometers, k, she would need to jog each day for two more weeks to achieve her goal. 14k + 70 > Jafreen participated in a walkathon in which each mile walked raised $5 for charity. Her goal was to raise more than $150 on Saturday and Sunday. She raised $25 on Saturday. Create a graph that shows all the distances, in miles, that Jafreen could have walked on Sunday to reach her goal. 18 A boat will be used to transport several 20-pound boxes across the East River from Brooklyn to Manhattan. The greatest amount of weight that can be loaded onto the boat is 650 pounds. A 75- pound box has already been loaded onto the boat. Write and solve an inequality to find the greatest number of 20-pound boxes that can also be loaded onto the boat. 28 boxes

5 19 Victor has agreed to play fewer video games and spend more time studying. He has agreed to play less than 10 hours of video games each week. On Monday through Thursday, he plays video games for a total of 5 hours. For the remaining 3 days, he plays video games for the same amount of time each day. Find the maximum amount of time he plays video games for each of the 3 days hours 20 On a Disney cruise ship, there are two options for an Internet connection. The first option is a fee of $5 plus an additional $0.25 per minute. The second option costs $50 for an unlimited number of minutes. Write an inequality that can be used to determine for how many minutes, m, the first option is cheaper than the second option m < The Perez family is building a circular pool in their backyard, and they want to build a fence around it. If the radius of the pool is 10 yards, what is the total length of the fence, rounded to the nearest tenth of a yard? 62.8 yards 22 Andrew is building a model of the solar system. He uses the sun as the center of the model. He uses a string to represent the circular motion of Earth revolving around the sun. He places the Earth at a distance of 7.5 inches from the sun. How much string does he use? Round your answer to the nearest hundredth in 2 23 Gursevek got a job at Dunkin Donuts and is making donuts with holes. The diameter across the whole donut is 6 inches. The width of the ring of the donut is 1.5 inches. What is the area of the hole? Round your answer to the nearest tenth. 7.1 in 2