Linear Inequalities

Gold Day –3/26/2015Blue Day – 3/27/2015

Agenda & News

Agenda Start discussing Linear inequalities –

Last topic before test

News 5th 6 weeks ends 4/10/15 Unit 4 Review will be 3/31 & 4/1 Unit 4 test will be 4/2 & 4/6 Unless I am still EOC testing, and then it

would be 4/2 & 4/6, and 4/7 &4/8

Bell Ringer

Solve the following linear function word problems.

1. Diane knows a phone call to a friend costs 25 cents for the first 3 minutes and 10 cents for each additional minute. Write a linear equation to show this function.

2. Use your equation from question 1 to find the cost of a 30-minute call.

3. Nick is given $50 to spend on a vacation . He decides to spend $5 a day. Write a linear equation to show this function.

4. Use your equation in question 2 to find out when Nick will have $15 left.

Forms of linear equations

There are 3 different forms of linear equations Slope-intercept form -

___________________ Standard form - ___________________ Point-slope form - ___________________

y=mx+b

Ax+By=C

y – y1=m(x – x1)

Remember when we solved 1 & 2-step Inequalities

2 Times you flip the inequality

1. Move variable to the left2. Multiply or divide by a negative

numberReminder

Reminder

Remember when we solved 1 & 2-step Inequalities

1. a + 4 16.

2. 15 x – 3

3. 9v -108

4. 5

207p

Reminder – Graphing Linear equations

Graph the following equation. y = x – 2

First, graph the y-interceptb=-2Second, graph the slopem=

How to graph linear inequalities

Solve for y.

Graph using slope and y-intercept.

Solid or dashed line?

Shade!!

Don’t forget to flip/flop the sign if you divide by a neg. #

, ,

<, >

Greater than >,

Less than <,

Now let’s Graph Linear Inequalities

Solve and Graph the following equation.

-5x + 4y < – 8

First, graph the y-interceptb=-2Second, graph the slopem=

Open dots and dotted line

+5x +5x

4y < 5x – 8 4 4 4

=-2

y < x – 2

Worksheet #1

Worksheet #2

Worksheet #9