Juan Carlos Lozano EDU 346 Powerpoint (Alg_8.1)

8 th grade Algebra Class Linear equations with one, or more variables Demonstrate in class, non-linear powerpoint will be used as a resource to assist learners outside of class Absent students benefit Reflection from students the next day

Common Core Math Standards CCSS.Math.Content.8.EE.C.7 Solve linear equations in one variable. CCSS.Math.Content.8.EE.C.8 Analyze and solve pairs of simultaneous linear equations. (Intro to) CCSS.Math.Content.8.EE.C.8b Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.

Home Variable introduction Linear equations with one variable Linear equations with one variable Linear equations real life examples Linear equations real life examples How to solve linear equations with one variable How to solve linear equations with one variable Practice with one variable linear equations Practice with one variable linear equations Linear equations with two variables Linear equations with two variables How to solve linear equations with two variables How to solve linear equations with two variables Practice with two variable linear equations Practice with two variable linear equations

Variables is a lot like a box, and it exists to contain a value. Sometimes the value is already inside the box, and you have to figure out what that value is. Other times, the box is empty, and you get to pick the value to put inside. Remember when you were in elementary school, and you were learning your addition? The teacher would hand you worksheets that said things like: (?) + 2 = 5 ; fill in the ?. The ? Plays as a variable, and can be expressed in almost any form, usually letters, especially x, y, and z. HomeTOCLinear equations with one variable How to solve linear equations with one variable

X+4=5 Y-2=3 9-z=6 7+p=10 8=m+4 10=15-b Home TOC Linear Equations Real Life Examples Linear Equations Real Life Examples How to solve linear equations with one variable How to solve linear equations with one variable

You are in busy New York City, and looking for a cab to take you home. The cab driver charges $10 and $2 for each mile driven. You live five miles away. How much will it cost you to get home? Banks Interest rates and investments Currency exchange rates Price changes (grocery stores) HomeTOCHow to solve one variable linear equations Click me for a better explanation

Step 1: Locate the variable Step 2: Determine what needs to be done to isolate the variable from the number on the other side of the “=“ Step 3: Compute the arithmetic needed to isolate variable Step 4: Make sure variable stands alone, and equals something I’m getting closer, show me! Whoa! What’s a variable? Got it! Let’s move on to two variable linear equationsGot it! Let’s move on to two variable linear equations! HomeTOCLinear equations with two variables

Using the example, x+2=7 Step 1: locate the variable X is the variable, we will be solving for x Step 2: determine what needs to be done in order to isolate the variable We need to get rid of the (+2) Step 3: Do the arithmetic needed to isolate variable, remember, what you do to one side of the equation, you MUST do to the other! X+2=7 -2=-2 X=5 Step 4: Make sure variable stands alone and equals something Check! Practice solving for linear equations with one variable HomeTOCLinear equations with two variables

Now that you are comfortable with one variable linear equations, we will deal with two variable linear equations. Very similar but this time, the equation will have two variables Don’t panic, one variable will have a value! Home TOC How to Solve linear equations with two variables Practice solving linear equations with two variables

Step 1: plug in given value of one variable Step 2: locate variable that needs to be solved for Step 3: determine what arithmetic needs to be done to solve for variable Step 4: compute the arithmetic and find variable Home TOC Practice examples of two variable linear equations

X+7-y=10; y=2 Check Answer Y-4+z=5; z=3 Check Answer b+c-4=12; b=6HOMEHOME Check Answer

X=5 Back TOC

Y=12 Back TOC

C=10 Back TOC

X-6=4 Check Answer X+4=5 Check Answer Y-2=3 Check Answer 9-z=6 Check Answer 7+p=10TOCTOC Check Answer

X=10 Back TOC

X=1 Back TOC

Y=5 Back TOC

Z=3 Back TOC

P=3 Back TOC