Systems - Elimination Method

What is the ideal form of equations for using the elimination method?

• Point-slope form

• Vertex form

• Standard form

• Slope-intercept form

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What does 'same but opposites' refer to in the context of the elimination method?

• Equations with the same slope but opposite y-intercepts

• Coefficients of either x or y that are equal in magnitude but have opposite signs

• Constants on the right side of the equation that are opposites

• Equations that are inverses of each other

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

How do you create 'same but opposites' when they are not initially present?

• By dividing one or both equations by a constant

• By adding equations together

• By multiplying one or both equations by a constant

• By subtracting one equation from the other

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the next step after creating 'same but opposites' and eliminating one variable?

• Check the solution in both original equations

• Rewrite the equations in slope-intercept form

• Graph the equations

• Solve for the remaining variable

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

How do you find the value of the second variable after eliminating the first one?

• By multiplying the remaining equation by the eliminated variable

• By setting the remaining variable equal to zero

• By graphing the remaining equation

• By substitution into one of the original equations

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

When multiplying an equation to create 'same but opposites', what must you remember to do?

• Only multiply the constants

• Multiply every term in the equation

• Multiply only one side of the equation

• Multiply only the variable terms

In the context of elimination, what is the best strategy when both variables have the same coefficient but are not opposites?

• Graph the equations to find the solution

• Multiply one equation by -1

• Switch to the substitution method

• Add the two equations as they are

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What does it mean if, after elimination, you get a true statement like 0=0?

• There is no solution

• The equations are undefined

• There is exactly one solution

• There are infinitely many solutions

Tags

CCSS.8.EE.C.8B

What does it indicate if, after elimination, you end up with a false statement like 0=10?

• The equations are dependent

• The system has no solution

• The system has infinitely many solutions

• The system has one unique solution

Tags

CCSS.8.EE.C.8B

What is the final step after finding the values of both variables in a system of equations?

• Plot the solution on a graph

• Substitute the values back into the original equations to check

• Multiply the variables to find the product

• Add the variables to find the sum

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6