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Systems of Linear Equations

Systems of Linear Equations. By Dylan Nicoletti Summit High School. Objectives. Questions. Credits. Objectives. Using appropriate computation methods 1.2.a Use multiple forms of linear equations 2.1.b

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Systems of Linear Equations

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  1. Systems of Linear Equations By Dylan Nicoletti Summit High School Objectives Questions Credits Adapted from the Traveling Book Seller, Drew Polly, 2006

  2. Objectives Using appropriate computation methods 1.2.a Use multiple forms of linear equations 2.1.b Represent linear functions using a table, graph equations, and convert from one form to another 2.1.c Solve equations for one variable in terms of another 2.4.c Solve systems of linear equations with two and three variables 2.5.c

  3. Directions Use a piece of paper to record all attempts at each problem. If you get the wrong answer, look for your mistake and rewrite the problem with your correction so you have a fully written correct response. Have fun and remember, you are practicing for a great performance on your upcoming assessment.

  4. Questions Solving by Graphing 1 2 3 4 5 Solving by Substitution 6 7 8 9 10 Solving by Elimination 11 12 13 14 15 Question Page

  5. CreditsAll teachers and students at non-profit schools can use, revise, or adapt this game at will at no cost on the condition that all prior designers are cited. Adapted from “The Traveling Georgia Artist” by Lloyd Rieber, The University of Georgia, May 20, 2003 Adapted from “The Traveling Book Seller” by Drew Polly, UNC-Charlotte Question Page

  6. That’s Correct! Question Page

  7. Sorry, that’s not correct! Question Page

  8. Graph the system of equations and select the ordered pair that represents the system’s solution. ( 2 , 8 ) ( -2 , 8 ) ( 2 , -8 ) ( -2 , -8 ) Home Page

  9. 2) Two linear equations that have the same slope but different y-intercepts will have the following solution. None One Infinitely Many Not Enough Information Home Page

  10. 3) By analysis or graphing, the following system has how many solutions? None One Infinitely Many Two Home Page

  11. 4) If you wanted to graph a system by graphing the equations in slope-intercept form, what would be your first step? Solve Each Equation for x Solve Each Equation for y Write Equations in Standard Find the X-Intercept of Each Line Home Page

  12. 5) Linear equations with different slopes _________ have one solution. • Never • Sometimes • Always • It depends on the coefficients Home Page

  13. 6) Solve the following system using substitution. ( 0 , 2 ) ( 2 , 2 ) ( -2 , 0 ) ( 2 , 0 ) Home Page

  14. 7) Solve the following system using substitution. • ( 2 , 0 ) • ( 0 , 2 ) • ( -2 , 0 ) • ( 0 , 0 ) Home Page

  15. 8) Find a and b so that ( 2 , 1 ) is a solution the system. a = 1 and b = -4 a = -1 and b = -4 a =-1 and b = 4 No solutions Home Page

  16. 9) In the following system, which equation and what variable would you solve for? Equation 1 for y Equation 1 for x Equation 2 for x Equation 2 for y Home Page

  17. 10) The total number of points you can earn on a math test is 200 points. Your grade is 85% and you answered 42 problems correctly. Each problem is worth either 3 points or 5 points. How many 5-point problems did you answer correctly? 22 29 30 Home Page

  18. 11) Solve the following system using elimination. ( 4 , -5 ) ( 4 , 5 ) ( 2 , -3 ) ( -3 , 2 ) Home Page

  19. 12) Solve the following system using elimination. • ( 8 , 2 ) • ( 8 , 4 ) • ( 8 , 6 ) • ( 8 , 8 ) Home Page

  20. 13) Tell whether the system has one solution, nosolution , or infinitely many solutions. • No Solutions • Infinitely Many • One • Sometimes it has none Home Page

  21. 14) A store sells recordable compact discs in packs of 5 for $5 and packs of 10 for $8. You but 45 discs for $37. How many of each type of pack did you buy? 1 pack of 5; 4 packs of 10 8 packs of 5; 1 pack of 10 3 packs of 5; 3 packs of 10 4 packs of 5; 1 pack of 10 Home Page

  22. 15) Your school band is performing a concert. Tickets for the concert cost $3 for students and $5 for adults. A total of 125 people attend the concert. Ticket sales total $475. How many students and adults are at the concert. 50 students; 75 adults 85 students; 40 adults 75 students; 50 adults Home Page

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