SYSTEMS+OF+EQUATIONS

UNIT OUTLINE
· Solve 2x2 systems of equations using graphing, elimination and substitution and give a geometric interpretation of the solution. · Determine the solution of a 2 x 2 system graphically using the graphing calculator. · Solve 3x3 systems using elimination and substitution and give a geometric interpretation of the solution. · Model real world problems using systems of equations in 2 variables or 3 variables.
 * Students will be able to:**

LINKS
Elimination & Substitution Method [|Good site for practice and review] [|This is another good site that covers most of the Chapter and includes a quiz.] Others [|Self Check Quizes] [|Online Crossword] [|Great tips and examples of worded questions]

COUPLE OF EXTRA SPEED PROBLEMS
Traveling for three hours into a steady headwind, a plane makes a trip of 1650 miles. the pilot determines that flying with the same wind for two hours, he could make a trip of 1300 miles. What is the speed of the plane and the speed of the wind?

ANSWER: (someone can post their answer to this in the discussion forum)

A freight train and an express train leave towns 390 km apart, traveling toward one another. The freight train travels 30 km/hr slower than the express train. They pass one another 3 hours later. What are their speeds?

ANSWER: Freight Train: 50km/hr, Express 80km/hr

SOLUTION S
 Systems Test Solutions Review Sheet Answers 1. (0, 1), 2. (3, 3), 3. (-5, -1), 4. (2, 4), 5. (5, 2), 6. (-6, 2), 7. (7.5, 3.33), 8. (1/3, 1/2), 9. Carol's speed = 51 km/hr Ellie's speed = 68 km/hr, 10. (1, -2, 3), 11. (2, -2, 0.5), 12. A = 31, B = 28, C = 27, 13 Inconsistent & Independent 14. Consistent & Dependent __**Chapter 4 Assessment**__ 1. (3, -1), 2. (6, 2), 3. (3, 2), 4. (-1, 3), 5. (6, 0), 6. (-3, -5), 7. 87m by 216m, 8. (2, 3, -1), 9. A: 1200, B:1700, C: 1350 10. Inconsistent, independent
 * __Chapter 4 Wrap Up__**