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Algebra II UNIT 2 QUIZ/REVIEW Systems of Equations Name __________________ Per ___ Solve each system by graphing. 1 y x 2 (1.) 2 y x 5 y 4 x 4 (2.) 4 x y 4 Solution Solution _______ _______ Solve each system algebraically. SHOW YOUR WORK! y 2 x 9 (3.) 3x 4 y 8 6 x 3 y 3 (4.) x y 7 Solution ________________________ Solution ________________________ 2 y 5 x (5.) 2 x 2 y 18 x 2 y 8 (6.) 4 x 8 y 56 Solution ________________________ Solution ________________________ Solve each system by the method of your choice. 2 x 5 y 2 (7.) 3x 2 y 4 x + y + 2z = 41 (8.) 2x + 8y - 2z = 60 - 2x - 8y + z = -66 Solution __________ Solution __________ Algebra II UNIT 2 QUIZ/REVIEW Systems of Equations Name __________________ Per ___ Define variables, write a system of equations and state the solution as a complete sentence. (9.) A dealer carries two models of DVD players. One sells for $300 and the other sells for $225. The dealer sells 22 DVD players for a total revenue of $5700. How many of each type did he sell? Equation 1 __________________________ Equation 2 __________________________ Solution in a complete sentence: (10.) The perimeter of a rectangle is 108 cm. The width is one-half of the length. Find the dimensions of the rectangle. Equation 1 __________________________ Equation 2 __________________________ Solution in a complete sentence: (11.) Brad is a farmer. He feeds his hogs 12 pounds of feed per day and has 170 pounds of feed in his barn. Cliff is also a farmer. He feeds his hogs 15 pounds of feed per day and has 200 pounds of feed in his barn. In how many days will Brad and Cliff have the same amount of feed left? Equation 1 __________________________ Equation 2 __________________________ Solution in a complete sentence: (12.) Three students from Klein High decided to go grab something to eat at Burgers-R-Us after school on Friday. Jane ordered one order of French fries and a cheeseburger. Jane had to pay $3.75 before tax. John was really hungry so he ordered 3 cheeseburgers, 2 orders of French fries and 3 Diet Cokes. (There are no free refills.) John paid $12.25. Sam was on a low carb diet so he only had a Diet Coke and a cheeseburger (he removed the bun). Sam paid $3.25. What were the prices of each of the menu items? Equation 1 __________________________ Equation 2 __________________________ Equation 3 __________________________ Solution in a complete sentence: (13.) Magnets cost $10 plus $1.25 each to produce. You sell them for $1.75. How many magnets would you have to sell prior to making a profit?