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Transcript
5.2.4 Strategies for Solving Systems Homework Name ____________________________________________________ Period __________ Work through each of the problems below to practice the concepts from today’s lesson and review concepts from previous lessons. Be sure to always show all work! 5-57. Determine the coordinates of each point of intersection without graphing. y = −x + 8 y=x−2 a. (5, 3) b. y = −3x y = −4x + 2 (2, -6) 5-58. Change each equation below into y = mx + b form. a. y − 4x = −3 y = 4x – 3 c. 3x + 2y = 12 b. 3y − 3x = 9 y=x+3 d. 2(x − 3) + 3y = 0 5-59. Mailboxes Plus sends packages overnight for $5 plus $0.25 per ounce. United Packages charges $2 plus $0.35 per ounce. Mr. Molinari noticed that his package would cost the same to mail using either service. How much does his package weigh? 30 oz 5-60. Solve for x. a. x = 8/3 b. x = 8/7 c. How are these problems the same and how are they different? Answers will vary 5-61. Solve each equation below. Be sure to show ALL steps and check your answer! a. 3x + 7 = −x – 1 x = −2 c. −2x − 6 = 2 − 4x − (x – 1) x=3 b. 1 − 2x + 5 = 4x – 3 x= =1 d. 3x − 4 + 1 = −2x − 5 + 5x No solution