Unit 5B Review

Absolute Value Equations

100

Solve and graph on a number line:

|x|=6

{6,-6}

200

Solve and graph on a number line:

|x-3|=4

{7,-1}

300

Solve and graph on a number line:

|2x+5|=7

{1,-6}

400

Solve and graph on a number line:

-2|x+2|=-8

{2,-6}

500

Solve and graph on a number line:

3|3x-4|+6=21

{3,-1/3}

Absolute Value Inequalities

100

Solve and graph on a number line:

|x| ≤ 2

x≤ 2

x≥ -2

200

Solve and graph on a number line:

|x-2|>2

x>4

x<0

300

Solve and graph on a number line:

|4x-1|<3

x<1

x>-1/2

400

Solve and graph on a number line:

 |x-4|+3≥ 13

x≥ 14

x≤ -6

500

Solve and graph on a number line:

-2|3x+4|-5>-29

x>8/3

x<-16/3

Graphing Inequalities on a Coordinate Plane

100

y>x+3

y-intercept at (0,3)

Slope=1

Dashed line, shaded above

200

-y≥ 3x+4

Final equation: y≤ -3x-4

y-intercept: (0,-4)

Slope:-3

solid line, shaded below

300

-2x+y>1

y-intercept: (0,1)

Slope: 2

Dashed line, shaded above

400

4x+y≤ 7

final equation: y≤ -4x+7

y-intercept: (0,7) 

Slope: -4

Solid line, shaded below

500

6x-3y<18

final equation: y>2x-6

y-intercept: (0,-6)

Slope: 2

dashed line, shaded above

Random

100

What happens when we divide or multiply by a negative numbers?

We flip the inequality sign.

200

When will an absolute value inequality result in all real numbers?

When we have an absolute value greater than a negative number. 

300

What does inequality mean?

It means that the values are not equal but can be compared. 

400

Provide a real life example of an inequality with the written inequality.

Answers may vary

500

When were inequalities first invented?

1774