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Basketball and Equations Worksheet Name _______________________________________ Date __________________ 1. Which problem situation matches the equation below? 12x = 96 A. Toby collected 96 plastic Texas High Tiger basketball cups last year. He gave 12% of them to friends. What is x, the number of cups Toby did not give away? B. Hayden ran laps around the basketball court for 96 minutes each day for 12 days last month. What is x, the total number of hours Hayden ran last month? C. Jay shot a total of 96 free throws this week. He shot 12 more free throws this week than he shot last week. What is x, the number of free throws Jay shot last week? D. Adrian gets paid $12 per hour to take tickets at the basketball game. What is x, the number of hours Adrian worked if he received $96.00 for working? Solve the equations below: 2. 2(3 + 2a) = 6 – a + 5 3. 3 + 4b = 3b – 1 4. In many occupations someone organizes the work so the employee does not have to solve any equations. All that is required is to substitute into the equation. Solve 3x + 2y + f = t for x, the number of three-point field goals. 5. Dave traveled a total of 20km by walking and running during the last basketball game. Three-Fourths of the distance he traveled was by running. How far did he run? Write an equation for this scenario and solve. 6. The coaches at Texas High School have a system for rating players. They plug statistics for the players into the equation below and solve. They compare the results and rank the player with the highest score first. Y = (P + 1.5R + 2A + 1.5S + 2B) – ( (1.5T + 2F + [M – O]) / G) P = points earned R = number of rebounds A = number of assists S = number of steals B = number of blocks T = number of turnovers F = number of fouls M = number of missed shots O = number of offensive rebounds G = number of games played Name Nathan Walker P 15 R 4 A 6 S 2 B 1 T 1 F 1 M 3 O 3 G 5 Ben Taylor 28 1 2 0 1 4 3 4 0 5 Michael Beason 22 2 1 0 3 2 2 5 1 5 James Hardy 8 6 7 4 2 0 0 1 5 5 Tyrone Patterson 10 3 3 1 0 3 1 0 3 5 Using the table and equation above, calculate the results for each player. Round to two decimal places if necessary. Nathan Walker _________ Ben Taylor _________ Michael Beason _________ James Hardy _________ Tyrone Patterson _________ Which player had the highest rank? Did the player with the highest rank score the most points?