Tues 10/8 Lesson Review Learning Objective: To remember everything in Ch 2! Hw: Extra Practice WS...
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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