1. 6-2 REVIEW MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: SOLVING SYSTEMS OF LINEAR EQUATIONS BY SUBSTITUTION

2. WARM UP Write a system of linear equations with exactly one solution. Use substitution to solve your system.

3. QUICK REVIEW!!! Explain how you can determine if 2 lines are parallel. Provide an example of 2 parallel lines. Explain how you can determine if 2 lines are perpendicular. Provide an example of 2 perpendicular lines.

4. SOLVING SYSTEMS WITH ONE SOLUTION Substitution allows you to create a one-variable equation. Solve the system using substitution. y = x + 2 y = - x + 4

5. SOLVING SYSTEMS WITH ONE SOLUTION Solve the system using substitution. y = 2x 7x – y = 15

6. EXAMPLE Miss B’s chalkboard is a rectangle that is 4 times longer than it is wide (l = 4w). The perimeter of the chalkboard is 30 ft (2l + 2w = 30). Find the dimensions of Miss B’s chalkboard.

7. Without using substitution, decide whether each system has no solution or infinitely many solutions. (Hint: Write each equation in slope-intercept form and compare). a.y = 4xb. 5x – y = 1 2x – 0.5y = 0 5x – y = 7

8. CLASSWORK/ HOMEWORK 6-2 worksheet