Lesson 17 Solving Two Variable Linear Equations

Presentation

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Easy

•

CCSS

HSA.REI.D.12

Standards-aligned

Anastasia Avila

Used 11+ times

FREE Resource

4 Slides • 5 Questions

Lesson 17 Two Variable Linear Inequalities

TEKS 2A.3F and 3G

We will solve two variable linear inequalities.

I will summarize how to graphically solve and check solutions of two variable linear inequalities.

Poll

BELLRINGER- Solve the following Absolute Value Inequality:

$\left|2x-4\right|\le6$

Solution(s) is/are :

$-1\le x\le5$

$x\le-1\ or\ x\ge5$

$x\le5$

$x\ge-1$

Review:

Dropdown

The symbol > means the line will be

and the shading will be

the line.

Dropdown

The symbol

\le

means the line will be

and the shading will be

the line.

Slope tells us where to shade

Using the slope-intercept form of an equation (y=mx+b) we can determine where to shade based off the slope!

How to remember which slope is positive or negative on the graph:
Positive slope always starts in Quadrant I (+,+)
Negative slope always starts in Quadrant II (-,+)

Multiple Choice

Pick the graph below that displays a NEGATIVE linear slope.

Isolate the variable to one side of the inequality. Direction of the inequality determines where to shade!

Only x: shade left (</≤) or shade right (>/≥)
Only y: shade below (</≤) or shade above (>/≥)

Special Cases:

Dropdown

If you have, for example,

x>0

as your inequality, you would sketch the graph with a

line and shade

of the line.

Lesson 17 Two Variable Linear Inequalities

TEKS 2A.3F and 3G

We will solve two variable linear inequalities.

I will summarize how to graphically solve and check solutions of two variable linear inequalities.

Show answer

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