Algebra 210.7 day 1Solve Quadratic Systems

Learning Target:I can solve linear & quadratic systems of equations. [A.REI.7]

We've learned how to solve a linear system of equations using 3 methods:1. Graphing2. Substitution3. Elimination (Linear Combinations)

Let's Review:

1. Solve by graphing.y = x + 2y = -2x - 1

2. Solve using substitution.y = x + 14x + 5y = 23

3. Solve using elimination.3x + 2y = 66x + 3y = 6

What if we want to solve a linear-quadratic system?

4. -3x2 + y2 = 9 y = 2x

5. x2 + y2 = 10y = -3x + 10

6. y2 - 2x - 10 = 0x + y = -1

7. y = -2x - 5y = x2 + 6x + 7

Exit Problem: Solve the system. x2 + y2 = 17 y = x + 3

Assignment: 10.7 day 1 Worksheet

1. (2, 4), (-2, -4)

2. (2, -1), (1, -4)

3. (4, -5), (-5, 4)

4. (3, 2), (0, -1)

5. (7, 15), (3, 3)

6. (4, -6), (-1, 9)

7. (6, 5), (-2, -3)

Answers to 10.7 D1