January 9 Ms. Wu says … follow the instructions below!

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# January 9 Ms. Wu says … follow the instructions below! - PowerPoint PPT Presentation

January 9 Ms. Wu says … follow the instructions below!. (-4, 12) (10, 6) 34. a. 2 = m + b; 12 = -4m + b b. m = -2, b = 4 c. y = -2x + 4 35. L = 4.5 ft; w = 2.5 ft. Find your new seat . Get out HW 3.2 (don’t have to tear out). Get started on the warm up quietly .

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### January 9Ms. Wu says … follow the instructions below!

• (-4, 12)
• (10, 6)
• 34. a. 2 = m + b; 12 = -4m + b
• b. m = -2, b = 4
• c. y = -2x + 4
• 35. L = 4.5 ft; w = 2.5 ft.

Get out HW 3.2 (don’t have to tear out).

Get started on the warm up quietly.

_______________________________________________

(-3, 29)

(5, 7)

(-2, 2)

(4, 5)

(-15, -62)

(5, 3)

23. The two equations should be subtracted rather than added; 6x – 8; x = 4/3

New stuff for 2nd semester:
• Warm ups
• Will not be turned in; grade in class; 10% final grade; points deducted for talking/not doing it/being off-task
• Quicky quizzes
• Every class period; worth 5 – 10 pts; drop 2 lowest scores; if absent, counts as dropped score
• Late homework
• Name on door for a week; if not crossed off, mandatory tutorials (call home)
• Homework quizzes
• Worth 10 pts.; can use homework; cannot drop or make up; if absent, grade homework as quiz
The Elimination Method, pt. 2

Ex1: 3x – 4y = 14

2x + 2y = 21

The Elimination Method, pt. 2

Ex 2: 5x – 6y = 12

3x – 5y = 24

The Elimination Method

Process:

• Pick the variable you want to eliminate.
• Multiply one, or both, equations by a value to make sure the coefficients of the chosen variable are the same (for subtraction) or opposite (for addition).
• Subtract/Add and Solve the resulting equation.
• Go back to one of the original equations and solve for the other variable.
Group Activity
• Study the following Linear Inequalities and determine at least 5 different points (x, y) that make each inequality true.
• Plot the points on the board. You cannot plot the same point as another group!
• What do you notice about the points that make each linear inequality true?
• x ≤ 4 B) y > -2
• C) y < ½ x – 2 D) 2x – y ≥ 4
Steps to Graphing
• Graph the boundary line
• Determine if the boundary is inclusive (solid line) or exclusive (dotted/dashed line)
• Test a point and shade the appropriate half plane.
Graphing Linear Inequalities

The graphs consist of

1) Boundary Line (graph of corresponding equation)

---- for exclusive

___for inclusive

2) Half-Plane (shaded to indicate included points)

Half-Plane: The points on a plane that fall on one side of a boundary line.

Sample Problems
• Determine if (4, 5) is a point that satisfies 4x + 2y < 12
• Write inequalities that describes the graphs below.
SIGMA #3
• 10 pt class work grade
• 30 minutes, calculators allowed
Quicky Quiz
• 5 minutes
• Worth 5 points
• No notes allowed
HW 3.3
• Pgs 454 – 455: 5, 7, 11, 13, 21, 23, 27, 31, 33, 37