Linear System Equations Review

Linear System Equations Review

by Ms. Ba

​You will need headphones and a notebook

But first joy!

Have a headphone ready...

What is ​Numerology?

Horoscope defines numerology as, "an ancient study that draws meaning from different numbers, number combinations, letters, and symbols in your life. This art can help us tap into the underlying patterns of the universe and reveal new truths about who we are."

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You are going to find your number and its meaning on the next slide

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Linear System Equation Review

These past few days we learned many methods to find the solution of two equations in slope intercept form. Today we are going to stamp our learning by practicing.

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Open Ended

Check for understanding: What is the definition of a system of equation?

Open Ended

Check for understanding: What is the definition of a solution?

Multiple Select

What were the methods we learned to find the solution of systems of equation?

• Elimination method (cancel variable)

• Graphical Methods (graphs)

• Tabular methods (table)

• Substitution methods (algebraic)

What methods did we learn so far?

​If you choose: tabular, graphical, and substitution methods, you are correct.

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Today we are going to practice finding the solution of both system of equation using each method.

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​Note: We will be looking at more challenging methods move forward, but before we go to step 2, we have to master step 1.

Let's Practice!!!​

Draw

Fill in the table and identify the solution (by circling)

Draw

Fill in the table and identify the solution (by circling)

Draw

Fill in the table and identify the solution (by circling)

​You have just tried the first method: Tabular!

​To find the solution using a tabular method:

• ​You have to create a x-y table

• ​Substitute x value into the equation to solve for y

• ​The solution is the coordinate point that is on both table.

Multiple Choice

Given a graph: how can we identify the solution?

• They intersect, lines touch at one point

• They are parallel, lines don't touch

Draw

Solve the system of equations below by graphing

Draw

Solve the system of equations below by graphing

Draw

Solve the system of equations below by graphing

​You have just tried the second method: Graphing!

​To find the solution using a graphical method:

• ​You have to graph the equation by finding the y-intercept and slope for each equation

• Then locate the point where both line meet, that will be your solution.

Now for a quick 5 mins break!​

Multiple Choice

Solve for x

• x = -5

• x = -1

• x = -2

• x = 2

​Finding the Solution: Substitution Method

Draw

What is the solution of this system?

Draw

What is the solution of this system?

Draw

What is the solution of this system?

​You have just tried the third method: Substitution!

​To find the solution using a algebraic method:

• ​You have to first identify that both equations are in slope-intercept form

• Set the equations equal to each other to solve for x

• Substitute value of x into equation to solve for y.​

​Challenge Question

​Suppose you one of the equation is in slope-intercept form, how would you find the solution?

Draw

Challenge: Find the solution

​Answer and Steps for the challenge question