Level 2: Systems of Equations Set

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SOE.1

What is a System of Equations

• A collection of linear equations, where the number of equations matches the number of variables, allowing for an algebraic solution.

• A set of two or more variables that usually contains multiple equations

• An equation that usually contains multiple variables

• A set of three or more equations that usually contains multiple variables

• A set of two or more equations that usually contains the same variables

Answer explanation

Commit to memory

Tags

CCSS.HSA.REI.C.8

SOE.2

When you are given a situation involving "n" variables, you need a system of "n" equations to arrive at fixed values for those variables.

"n" represents the number of constants

• True

• False

Answer explanation

When you are given a situation involving "n" variables, you need a system of "n" equations to arrive at fixed values for those variables.

"n" represents the number of variables (not constants)

2 variables = _ equations

3 variables = _ equations

etc.

SOE.3

The following is a system of equations:

y=x+3

y=z-2

• True

• False

Answer explanation

The following is NOT a system of equations:

y=x+3

y=z-2

-A systems of equations with two equations should have two variables

-The system above has two equations but three variables. Therefore, it's not a system of equations

Tags

CCSS.HSA.REI.C.8

Answer explanation

Tags

CCSS.7.EE.B.4A

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SOE.4

The solution of a system of equations will always be a...

• number

• coordinate

• x-value

• y-value

• variable

Answer explanation

When rewritten in slope-intercept form, a system of equations can be graphed and its solution identified.

The solution to a system of equations is written in the form of a coordinate.

Tags

CCSS.8.EE.C.8B

SOE.5

Solving a system of equations means finding...

• the appropriate x-value

• the appropriate y-value

• the slope

• the y-intercept

• a way to get out of doing the work in the first place

Answer explanation

When rewritten in slope-intercept form, a system of equations can be graphed and its solution identified.

The solution to a system of equations is written in the form of a coordinate.

Tags

CCSS.8.EE.C.8B

SOE.6

How many solutions does the following system have?

• One

• None

• Infinitely many

Answer explanation

When each equation is solved for "y", they're the same, and one line lays atop the other. Because of this, there are infinitely many solutions.

Tags

CCSS.8.EE.C.8B

SOE.7

How many solutions does the following system have?

• One

• None

• Infinitely many

Answer explanation

Tags

CCSS.8.EE.C.8A