Transcription of Unit # 2 – Solving Systems of Linear and Quadratic Equations
1 Math 2 Unit Solving Systems of Linear and Quadratic Equations Name: _____. Types of Solutions Produced By a Linear and Quadratic System y x 2 2x 3 y x 2 2 5 y x 2 2x 4. Example 1: Example 2: Example 3: . y 2x 3 y 5 y x 1. 8 8 6. 5. 6 6. 4. 4 4 3. 2. 2 2. 1. -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -4 -3 -2 -1 1 2 3 4. -1. -2 -2. -2. -4 -4 -3. -4. -6 -6. -5. -8 -8 -6. Number of Solution(s): _____ Number of Solution(s): _____ Number of Solution(s): _____. What are the solutions? What are the solutions? What are the solutions? Solving Linear and Quadratic System by graphing Examples y x 2 2 6 y x 2 2x 3 y x 2 2x 7. Example 4a: Example 5a: Example 6a: . y 4x 2 y 5 y 2 x 2.
2 8 8 10. 6 6 8. 6. 4 4. 4. 2 2 2. -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 -10 -8 -6 -4 -2 2 4 6 8 10. -2 -2 -2. -4. -4 -4. -6. -6 -6 -8. -8 -8 -10. Solution(s): _____ Solution(s): _____ Solution(s): _____. Solving Linear and Quadratic System By Substitution (Rework Examples Above) Examples y x 2 2 6 y x 2 2x 3 Example 6b: y x 2 x 7. 2. Example 4b: Example 5b: . y 4x 2 y 5 y 2 x 2. Math 2 Linear and Quadratic Systems of Equations WS Name: _____. I. Solve each Linear and Quadratic system by graphing . State the solution(s) on the line. Must be ACCURATE! y x 2 2x 3 y x 2 6x 6 y x 2 2 5 y x 2 4x 2. 1.) 2.) 3.) 4.) . y 2x 1 y 3. 3. y x 1 y x 1.
3 4. Solution(s): _____ Solution(s): _____ Solution(s): _____ Solution(s): _____. II. Solve each Linear and Quadratic system BY SUBSTITUTION. State the solution(s) on the line. Must SHOW WORK! y x 2 5x 2 y x 2 3x 2 y 2 x 2 4 x 1. 5.) Solution(s): _____ 6.) Solution(s): _____ 7.) Solution(s): _____. y 3x 2 y x 6 y 2x 4. x y 5 x 2 y 8 0 5 x y 2 x 2 6. 8.) Solution(s): _____ 9.) Solution(s): _____ 10.) Solution(s): _____. y 1 3x 2 x x y 2 0 y 4x 7 x 2. 2.
