Quiz about Linear Equations by Elimination

Question 1

You and your friend are buying throw blankets with your names embroidered on them. The cost of the throw blanket is x dollars and the cost of each embroidered letter is y dollars. Your name has 6 letters and the total cost is $29. Your friend's name has 3 letters and the total cost is $24.50. Which system can you use to solve this problem?

Accepted Answer

$$x+6y=29$$
$$x+3y=24.5$$

Answer

$$x+y=6$$
$$x+y=3$$

Answer

$$x+y=29$$
$$x+y=24.5$$

Answer

$$x+y=29$$
$$x+9y=24.5$$

Question 2

Solve this system of equation

-8x + y = 1

-6x + y = 3

Accepted Answer

(1, 9)

Answer

(4, 14)

Answer

(0, 1)

Answer

(2, 4)

Question 3

What is the best first step to solve this system by elimination?

Accepted Answer

Add the equations to eliminate x

Answer

Add the equations to eliminate y

Answer

Multiply the first equation by 2

Answer

Multiply the second equation by 3

Question 4

What is the best first step to solve this system by elimination?

Accepted Answer

Multiply the second equation by $$-3$$

Answer

Add the equations to eliminate y

Answer

Multiply the first equation by 2

Answer

Add the equations to eliminate x

Question 5

What is the best first step to solve this system by elimination?

Accepted Answer

Multiply the second equation by 2

Answer

Add the equations to eliminate y

Answer

Multiply the first equation by 2

Answer

Add the equations to eliminate x

Question 6

Solve the system by the elimination method.

Accepted Answer

$$\left(3,-1\right)$$

Answer

$$\left(7,21\right)$$

Answer

$$\left(1,4\right)$$

Answer

$$\left(-2,5\right)$$

Question 7

Solve the system by the elimination method.

Accepted Answer

$$\left(-2,9\right)$$

Answer

$$\left(3,-6\right)$$

Answer

$$\left(4,3\right)$$

Answer

$$\left(5,2\right)$$

Question 8

Solve the system by the elimination method.

Accepted Answer

$$\left(5,-4\right)$$

Answer

$$\left(6,-2\right)$$

Answer

$$\left(3,2\right)$$

Answer

$$\left(-4,2\right)$$

Question 9

The sum of two numbers is 22. The difference of two numbers is 6. Which system can be used to solve this problem?

Accepted Answer

$$x+y=22$$
$$x-y=6$$

Answer

$$x+y=22$$
$$x+y=6$$

Answer

$$x-y=22$$
$$x-y=6$$

Answer

$$2x-y=28$$
$$x+2y=28$$

Question 10

What is the first step in solving a system of linear equations using the elimination method?

Accepted Answer

Align the variables by making the coefficients the same

Answer

Divide the variables by the same number

Answer

Ignore one of the variables

Answer

Substitute the variables with random values

Question 11

When using the elimination method, what should be the goal when adding or subtracting the equations?

Accepted Answer

To eliminate one of the variables

Answer

To multiply the equations

Answer

To square the equations

Answer

To divide the equations

Question 12

What is the next step after adding or subtracting the equations in the elimination method?

Accepted Answer

Solve for the remaining variable

Answer

Graph the equations to find the solution

Answer

Divide the equations by a random number

Answer

Multiply the equations by a random number

Question 13

What is the final step in solving a system of linear equations using the elimination method?

Accepted Answer

Substitute the value found into one of the original equations to solve for the remaining variable

Answer

Multiply both equations by a random number

Answer

Divide both equations by a random number

Answer

Add the two equations together without eliminating any variables

Question 14

Which is the best method for solving this system of equations?

Accepted Answer

Elimination

Answer

Substitution

Answer

Graphing

Question 15

Which is the best method for solving this system of equations?

x-y=11

2x+y=19

Accepted Answer

Elimination

Answer

Substitution

Answer

Graphing

Linear Equations by Elimination

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