Algebra I Ch. 6 Warm-ups.

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Presentation transcript:

Algebra I Ch. 6 Warm-ups

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

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

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

Section 6-2 WU, Day 2 Solve the following systems using the substitution method. USE YOUR NOTES y = 5x + 1 2) 2x + y = 3 (solve for y) 4x + y = 10 4x + 4y = 8

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 = -5 2) y = -3x + 4 6x + 2y = 10 -6x – 2y = -8

Section 6-4 WU, Day 1 Solve the following systems using the elimination method. 5x – 2y = 24 2) 6x – 6y = 6 3x + 2y = 24 3x – 6y = 15

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 = -8 2) 2x + 5y = 11 7x + 5y = 16 4x + 3y = 1

Section 6-5 WU Solve using whatever method you want! 6x + y = -39 2) 5x – y = 5 3x + 2y = -15 x = 3y – 13

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 =1 2) y + 4x = 3 -2x + 8y = -6 y = -4x – 1

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 +7 2) y > 3x - 1 y > -¾x + 5 y < -4x + 1