Algebra 2 Unit 1

Solve AV Equations

100

|x + 2| = 6

x = 4, -8

200

2|x - 5| = 0

x = 5

300

4|x + 5| + 1 = -2

No Solutions

400

3|x + 2| - 6 = -3

x = -1 or x = -3

500

7 - 2|x - 4| = 5

x = 5 or x = -3

Graph AV Equations

100

What is the Vertex of:

y = |x + 1| - 2

(-1, -2)

200

What is the Vertex of?

y = 3|x + 3| + 8

(-3, 8)

300

Does this graph open Up or Down?

y = 4|x - 7| 

Up

400

How many units does this graph translate Right or Left from the Parent Function y = |x|?

y = 5|x - 2| + 4

Right 2 Units

500

Is this equation Wider, Narrower or the same width as the Parent Function y = |x|?

y = -3/4 |x + 5| - 5

Wider

Create AV Equations

100

What is the Equation with this information?

Vertex: (2, 1)

Slope: 1

y = |x - 2| + 1

200

What is the Equation with this information?

Vertex: (5, 0)

Slope: -1/6

y = -1/6 |x - 5|

300

What is the Equation with this Information?

Vertex: (4, 5)

Point: (6, 7)

y = |x - 4| + 5

400

What is the Equation with this Information?

Vertex: (-4, -8)

Point: (1, 7)

y = 3|x + 4| - 8

500

What is the Equation with this Information?

Vertex: (-5, -4)

Point: (-9, -6)

y = -1/2 |x + 5| - 4

Solve AV Inequalities

100

|x + 3|< 5

x < 2 AND x > -8

200

|x - 2| - 5 < -2

-1 < x < 5

300

2|10b + 7| - 1 > 73

b > 3 or b < -22/5

400

7|n/3| - 9 < 12

-9 < n < 9

500

7 + |6v + 7| < 60

-10 < v < 23/3

Graph AV Inequalities

100

Does this Inequality have a Dotted Line or Solid Line?

y < |x + 4|

Dotted

200

Do you Shade this Inequality Above or Below?

y > |x - 4| + 2

Above

300

Does this Inequality open Up or Down?

y > -2/5 |x + 4| + 9

Down

400

Is the point (0,0) a Solution to this Graph?

y < -3|x| + 2

Yes!

500

Is the Point (-2, -4) a Solution to this graph?

y > |x + 2| - 4

No, not a solution