Modeling Linear Inequalities

Solving Inequalities

100

Solve

x - 2 > 5

X > 7

200

Solve

(x/3) ≤ -1

x ≤ -3

300

Solve

-x > 4

x < -4

400

Solve

-16 ≤ x -7

x ≥−9

500

Solve

-5 (x - 19)  ≤ -6 +2x

X  ≥ 101/7

Identify Y-int

100

Y = -4

Y-int: -4

200

y = 4x + 6

Y-int: 6

300

2x - 3y = 12

Hint: set x to 0

Y-int: (0,4)

400

3x + 4y = 8

Hint: set x to 0

Y-int: 2

500

14x + 49y = 89

y-int: 40

Identify Slope

100

Y = 8x + 24

Slope: 8

200

Y - 2 = 1/2 (x - 8)

Slope = 1/2

300

Y -10 = 3 (x + 1)

Slope: 3

400

Define Slope

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

500

Y= (5x)/6

Slope = 5/6

Solving Equations

100

Solve for X

x + 1 = 6

x = 5

200

2x + 7 = 4x + 9

x = -1

300

3x - 1 = -2x

x = 1/5

400

3x + 4x (1/14) = 2

X = 14/23

500

Solve for x

11 (2x + 3) = -3x + 9 (1 + 3x)

X = 12

Miscellaneous

100

What sport did Mr. Berg help coach?

Wrestling 

200

What school does Megan go to?

The University of Utah

300

Write an equation in slope intercept form given

Slope: 3

Y-int: 6

Y = 3x + 6

400

Give a correct example of horizontal and vertical forms for the equation of a line.

Y = a (horizontal)

X = a (vertical)

500

How many days until Christmas?

27 or 28 days