tues 10/8 lesson review learning objective: to remember everything in ch 2! hw: extra practice ws...

Homework Log

Tues

10/8

Lesson Review

Learning Objective: To remember everything in Ch 2!

Hw: Extra Practice WS #26 - 43

10/8/15 Chapter 2 Review

Algebra II

To remember everything learned in Chapter 2!!

Learning Objective

1. What are the domain and range of the relation? Is it a function?

{(-3, 5), (0, 1), (2, 0), (-3, 4)}

Domain: {-3, 0, 2}

Range: {0, 1, 4, 5}

NOT a function. When x = –3, there are two y – values

2. Is the graph a function?

Not a function. Fails the vertical line test.

3. Is the graph a function?

Is a function. Passes the vertical line test.

4. Find

(-2, 3)

5. Suppose y varies directly with x, and y = 20, when x = 12. What is x when y = 45.

20x = 12(45)20x = 54020 20

x =27

Solving Direct Variation

6. A line passes through (–15, 9) and (–8, –5). What is the equation of the line in point-slope form?* Find Slope

** Use the slope and EITHER point.

y – 9 = –2(x +15) or y + 5 = –2(x + 8)

Given two points

7. Write #6 in slope – intercept formy – 9 = –2(x +15) y + 5 = –2(x + 8)y – 9 = –2x – 30 y + 5 = –2x – 16

y = –2x – 21

Given two points

8. Write #6 in standard formy = –2x – 21 2x + y = –21

NO FRACTIONS!!

Given two points

9. Write an equation of a line parallel to #6 and goes through (0, 7) in slope-intercept form.

Slope = –2

Have y-intercept!! (0, 7)

y = -2x + 7

Given two points

10. Write an equation of a line perpendicular to #6 and goes through (-6, 4) in standard form. Slope = –2 Perp slope =

Given two points

2y = x + 14

x – 2y = - 14-x + 2y = 14(2) ( )(2)

11. Write an equation of a line that goes through (3, 4) & (3, 7)

x = 3

12. Write an equation of a line that goes through (3, 4) & (7, 4)

y = 4

Given two points

12. Graph 3x – 4y = 12x-intercept (y = 0) 3x - 4(0) = 123x = 12 x = 4(4, 0)

y-intercept (x = 0)3(0) - 4y = 12-4y = 12y = -3(0, -3)

Graphing using intercepts

Vertex: (3, 1)Axis of Sym: x = 3 x y

13.

V( 3 1)

1 2

4 5

3 2

2 3

V (-16, 5)

Axis of Symmetry: x = -16

Up 5 Left 16Reflect over x-axis

14. Without graphing, identify the vertex, axis of symmetry, and transformation from the parent function

15. y 2 dotted lineShade below

Check (0, 0)0 > 2 FALSE!Shade side withOUT

(0, 0)

Graph Linear Inequality

16. x 3 solid line

Check (0, 0)0 3 TRUE!Shade side with

(0, 0)

Graph Linear Inequality

17. y -2x - 3dotted line!

Check (0, 0)0 -2(0) – 30 0 – 3 0 - 3 TRUE!Shade side with

(0, 0)

Graph Linear Inequality