1. Algebra I
Ch. 6 Warm-ups

2. Section 6-1 WU, Day 1
Graph the following inequalities. Sketch a coordinate plane on your WU sheet.
y > -3x + 6
y < x - 5

3. Section 6-1 WU, Day 2
Solve the following systems of equations. Remember: Sketch both lines on the same grid, then find the point of intersection
y = 3x – 2
y = -3x + 4
2) y = -5x + 8
y = x + 2

4. Section 6-2 WU, Day 1
Solve the following systems of equations by graphing. Be careful of no solutions and infinite solutions.
y = 7x – 5
-7x + y = 2
2) y = -2x + 6
4x + 2y = 12

5. Section 6-2 WU, Day 2
Solve the following systems using the substitution method. USE YOUR NOTES
y = 5x ) 2x + y = 3 (solve for y)
4x + y = x + 4y = 8

6. Section 6-3 WU 3x + y = -5 2) y = -3x + 4 6x + 2y = 10 -6x – 2y = -8
Solve the following systems using substitution. Watch out for special cases! (No solutions and infinite solutions). Solve for y in #1 first!
3x + y = ) y = -3x + 4
6x + 2y = x – 2y = -8

7. Section 6-4 WU, Day 1
Solve the following systems using the elimination method.
5x – 2y = ) 6x – 6y = 6
3x + 2y = x – 6y = 15

8. Section 6-4 WU, Day 2 x – y = -8 2) 2x + 5y = 11
Solve the systems using the elimination method. Note: You will have to multiply one or both equations by a number FIRST!
x – y = ) 2x + 5y = 11
7x + 5y = x + 3y = 1

9. Section 6-5 WU Solve using whatever method you want!
6x + y = ) 5x – y = 5
3x + 2y = x = 3y – 13

10. Section 6-6 WU, Day 1
State which method would be the best method to use to solve the system of equations given how the system is set up. Explain why!
5x + 8y = ) y + 4x = 3
-2x + 8y = y = -4x – 1

11. Section 6-6 WU, Day 2
Sketch a graph of the systems of linear inequalities. Remember to determine the line (solid or dashed), shade the appropriate side of the line, and darken the intersection area
y < -2x ) y > 3x - 1
y > -¾x y < -4x + 1