Quiz about Steps Elimination Method

Question 1

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

Accepted Answer

Multiply one or both equations by a constant.

Answer

Add the two equations together.

Answer

Subtract one equation from the other.

Answer

Divide one equation by the other.

Question 2

In the elimination method, what operation is used to eliminate one variable?

Accepted Answer

subtraction or addition

Answer

exponentiation

Answer

division

Answer

multiplication

Question 3

What is the next step after eliminating one variable in the elimination method?

Accepted Answer

solve for the remaining variable

Answer

substitute the value of the eliminated variable into the other equation

Answer

multiply the equation by a constant

Answer

add the equation to another equation

Question 4

When adding or subtracting equations in the elimination method, what should be done to ensure the system remains balanced?

Accepted Answer

Make sure the coefficients of one variable are the same or opposite in both equations.

Answer

Ignore the coefficients and add or subtract the variables directly.

Answer

Multiply both equations by the same number to make the coefficients equal.

Answer

Combine the variables in one equation and eliminate the other variable in the other equation.

Question 5

what number should you multiply the top equation to eliminate variable x by adding:

Accepted Answer

2

Answer

5

Answer

-1

Answer

-2

Question 6

Using elimination method, what would the correct next step be? Not interested in the answer.

Accepted Answer

3x = 3

Answer

3x = -3

Answer

x - 6y = -24

Answer

x = -3

Question 7

What would be the first step in finding the solution with elimination?

Accepted Answer

cross out the 3y and -3y

Answer

cross out the 4x and x

Answer

change all the signs of the second equation

Answer

add 1 and -11

Question 8

Using elimination method, what would the correct next step be? Not interested in the answer.

Accepted Answer

12y = 24

Answer

12x -2y = -16

Answer

-2y = 24

Answer

(-1,2)

Question 9

Which operation would allow elimination by either addition or subtraction? (check all that apply---take your time!)

Accepted Answer

Double the bottom row

Accepted Answer

Divide the top row by 2

Accepted Answer

Multiply the bottom row by 4

Accepted Answer

Multiply the top row by 2 and the bottom row by 4

Answer

Multiply the top row by 4

Question 10

To use the elimination method, both equations need to be in...

Accepted Answer

standard form

Answer

slope intercept form

Question 11

What is the result when adding the equations for elimination method?
5x - 4y = 11
5x + 4y = -14

Accepted Answer

10x = -3

Answer

5x = -3

Answer

10y = -3

Answer

10x = -25

Question 12

Solve the following system of equations using the elimination method:

Accepted Answer

(-2, 1)

Answer

no solutions

Answer

(-2, 0)

Answer

(-1, -3)

Question 13

what is the variable that willl be "eliminated"?

5x - 4y = 11

5x + 4y = -14

Accepted Answer

y variables

Answer

x variable

Answer

both variables

Question 14

In the elimination method, what is the final step after eliminating all variables?

Accepted Answer

Solve the resulting system of equations

Answer

Graph the equations to find the solution

Answer

Multiply the equations by a common multiple

Answer

Substitute the values back into the original equations

Question 15

When using the elimination method, what happens if the coefficients of one variable are already the same in both equations?

Accepted Answer

The elimination method is not necessary for that variable.

Answer

The variable is automatically eliminated.

Answer

The equations are already solved.

Answer

The elimination method cannot be used in this case.

Question 16

In the elimination method, what should be done if the coefficients of one variable are not the same in both equations?

Accepted Answer

Multiply one or both equations by a constant to make the coefficients equal.

Answer

Divide one or both equations by a constant to make the coefficients equal.

Answer

Subtract one equation from the other to eliminate the variable with different coefficients.

Answer

Ignore the variable with different coefficients and solve for the other variable.

Question 17

What is the final step in the elimination method after eliminating all variables?

Accepted Answer

Solve the resulting system of equations

Answer

Graph the equations to find the solution

Answer

Multiply the equations by a common multiple

Answer

Substitute the values back into the original equations

Question 18

When using the elimination method, what is the goal for each equation in the system?

Accepted Answer

To eliminate one variable

Answer

To rearrange the equation

Answer

To substitute one variable

Answer

To solve for all variables

Question 19

What is the purpose of the elimination method in solving systems of equations?

Accepted Answer

To eliminate one variable and solve for the remaining variable.

Answer

To substitute one variable and solve for the remaining variable.

Answer

To add or subtract the equations to eliminate both variables.

Answer

To multiply or divide the equations to eliminate both variables.

Question 20

What is the advantage of using the elimination method over other methods for solving systems of equations?

Accepted Answer

Direct elimination of one variable

Answer

Substitution of variables

Answer

Graphing the equations

Answer

Using matrices

Steps Elimination Method

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