Systems of Equations Easy

A system of equations that is dependent has...

• a consistent system

• infinite solutions

• two or more linear equations

• all of the above

Tags

CCSS.8.EE.C.8B

Substitution method for solving systems of equations includes...

• two or more linear equations

• solving for one variable, then substituting the number into the other equation

• answers 1 and 2

• solving for only x, then using the number as the only solution for x and y

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Graphing a system of equations is used when...

• one equation is already solved for one of the variables, or when it is easy to solve for one of the variables

• when you want a visual display of the equations, or when you want to eliminate a solution

• when the coefficients of one variable are the same or opposites, or when it is not convenient to use graphing or substitution

• none of these is used in graphing a system of equations

Tags

CCSS.8.EE.C.8B

Substitution method for solving a system of equations includes...

• When the coefficients of one variable are the same or opposites, or when it is not convenient to use graphing or substitution.

• When you want a visual display of the equations, or when you want to estimate a solution.

• When one equation is already solved for one of the variables, or when it is easy to solve for one of the variables.

• The substitution method involves none of these.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the first step in solving a system by Substitution?

• Make sure both equations are in standard form.

• Make sure at least one equation is solved for one variable.

• Make sure both equations are in slope-intercept form.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which option shows the CORRECT substitution for this system?

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Why does substitution help us solve a system of equations?

• It changes one variable to an expression using the other variable, so we can solve an equation that only has one variable at a time.

• It creates a problem with fewer steps.

• It puts both equations in slope-intercept form for easy graphing.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

TRUE or FALSE:

When both equations have the same variable isolated

(both y = or both x = ),

substituting the first into the second ends up looking like

you just set the two equal to each other.

• TRUE

• FALSE

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6