Systems of Equations - Elimination Part 1 Guided Notes

What is the first step in the elimination method for solving systems of equations?

• Add the equations directly

• Subtract one equation from the other

• Solve for one variable in both equations

• Align the equations to match variables

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

When adding equations together, what is the goal in terms of the variables?

• To create a new equation with two variables

• To double the value of each variable

• To solve for both variables simultaneously

• To eliminate one of the variables

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

How can you solve for y after finding the value of x in the elimination method?

• Substitute x into the original equation

• Add the value of x to each side of the equation

• Multiply the value of x by each coefficient

• There is no need to solve for y

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

After eliminating a variable and solving for the other, what is the next step?

• There are no further steps required

• Graph the solution on a coordinate plane

• Substitute the found value back into one of the original equations

• Repeat the elimination process

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In the context of elimination, what does changing the sign of every term in an equation accomplish?

• It eliminates all variables immediately

• It converts the subtraction of equations into addition

• It prepares the equation for subtraction

• It simplifies the equation

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the result of adding two equations and eliminating both variables?

• A single variable equation

• An equation in standard form

• A numerical equation without variables

• A two-variable equation

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Why might you choose to subtract one equation from another in the elimination method?

• To simplify the coefficients

• To align the variables

• To eliminate a variable

• To solve for a variable without elimination

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What indicates that a system of equations has no solution when using the elimination method?

• The variables do not align

• You are left with a false statement like 0 = -7

• You are left with a true statement like 0 = 0

• Both variables are eliminated resulting in x = y

Tags

CCSS.8.EE.C.8B

What does it mean if, after eliminating a variable, you are left with a true statement like 0 = 0?

• The system has infinite solutions

• The system has exactly one solution

• The equations are incorrectly aligned

• The system has no solution

Tags

CCSS.8.EE.C.8B

What does an infinite number of solutions indicate about the system of equations?

• The equations are identical

• The equations are perpendicular

• The equations have no common solution

• The equations represent parallel lines

Tags

CCSS.8.EE.C.8B