At the place where two lines cross:

All of these answers are correct!

The lines share exactly one point.

The x and y values are the same for both lines.

equal quantities can be switched (thus the name "substitution)

Substitution Method: The left side of both equations are equal at the point where the lines cross. What does that mean is true about the right side of each equation? $$y=-x+6$$ $$y=2x+3$$

I don't know because I didn't study

What could the substitution method look like after the first step? $$y=-x+6$$ $$y=2x+3$$

Two lines will be displayed on a graph

What could the substitution method look like after the first step? $$y=-x+6$$ $$y=2x+3$$

Two lines will be displayed on a graph

Friendly Study Reminder: Intelligence is not "fixed" meaning that hard work and practice will help you to become...

...better at a mathematical skill.

...part of a growing community of learners.

Elimination Method Vocabulary: What is Additive Inverse?

Adding a number and it's opposite always equals zero

A useless property that has no application to solving math problems

Multiplying an fraction with it's reciprocal always equals 1

Where is the additive identity property in this problem? $$y=2x+3$$ $$y=-2x\ +4$$

When you add the 2x and -2x, the result is zero.

When you add the y values, the result is zero.

When you add the 3 and 4, the result is zero.

There is no additive identity in this problem.

Where is the additive identity property in this problem? $$y=2x+3$$ $$y=2x\ -3$$

When you add the 3 and -3, the result is zero.

When you add the 2x and 2x, the result is zero.

When you add the y values, the result is zero.

There is no additive identity in this problem.

Where is the additive identity property in this problem? $$3x\ +\ 4y\ =\ 7$$ $$x-4y=2$$

When you add the constants column, the result is zero.

When you add the x-column, the result is zero.

When you add the y-column, the result is zero.

There is no additive identity in this problem.

Where do we use Additive Inverse property in this problem? (Select all that apply) $$-x+6\ =\ 2x\ +3$$

Adding an x to -x equals zero on the left side.

Subtracting 3 from the positive 3 makes a zero on the right.

Adding an x to both sides moves the x terms to the right.

Adding 3 to both sides creates a zero.

This system of equation doesn't have an obvious case of Additive Inverse. What can we multiply the first equation by to create an Additive Inverse case? (Choose all that apply: There are 2 correct answers. I recommend you experiment on whiteboard or paper and pencil before answering!) $$2x\ +\ y\ =7$$ $$4x-2y=2$$

Multiply the first equation by -2.

Multiply the first equation by 2.

Multiply the first equation by 3.

Multiply the first equation by -4.

Completely solve the system of equations: $$2x\ +\ y\ =7$$ $$4x-2y=2$$

Multiply the first equation by -2.

Multiply the first equation by 2.

Multiply the first equation by 3.

Multiply the first equation by -4.

Solving Systems Of Equations Using 3 Methods

Authored by Seth Ellis

Mathematics

8th - 9th Grade

CCSS covered

Used 1+ times

Solving Systems Of Equations Using 3 Methods

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29 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Friendly study reminder: What you put into learning impacts...

...what you get out.

...your grades.

...the habits of others around you.

All of the options are true!

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

"Solving Systems of Equations" means:

Finding a point (or points) where lines cross.

Solving for x.

Solving for y.

Making equations balanced.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A "system of equations" will have no solution if the two lines are ...

...perpendicular (cross at 90 degree angles)

...on top of each other.

...parallel and not touching.

...dotted.

Tags

CCSS.8.EE.C.8A

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A "system of equations" will have all real numbers as a solution if the lines are...

...perpendicular (cross at 90 degree angles)

...on top of each other.

...parallel and not touching.

...dotted.

Tags

CCSS.8.EE.C.8A

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A "system of equations" will have exactly one solution if the lines are:

...perpendicular (cross at 90 degree angles)

...on top of each other.

...parallel and not touching.

...dotted.

Tags

CCSS.8.EE.C.8A

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

We learned 3 methods for solving systems of equations. They are:

Graphing, Substitution, and Elimination

Larry, Mo, and Curley

Graphing, Solving, and Additive Inverse

Transitive, Commutative, and Associative

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution to this system of equations?

$y=3x+3$

$y=-x-5$

(-2, -3)

(0,3)

Tags

CCSS.8.EE.C.8B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution to this system of equations?

$y=3x+3$

$y=-x-5$

(-2, -3)

(0,3)

Tags

CCSS.8.EE.C.8B

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Solving Systems Of Equations Using 3 Methods

Friendly study reminder: What you put into learning impacts...

"Solving Systems of Equations" means:

A "system of equations" will have no solution if the two lines are ...

A "system of equations" will have all real numbers as a solution if the lines are...

A "system of equations" will have exactly one solution if the lines are:

We learned 3 methods for solving systems of equations. They are:

What is the solution to this system of equations?

What is the solution to this system of equations?

If two lines have the same slope and different y-intercepts, then the solution for the system of equations is:

If two lines have the different slopes, then the solution to the system of equations is:

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