Solving Systems by Elimination Practice Quiz

Consider this system of equations:

- 4x - 8y = 10

4x - 10y = 17

If you were going to solve the system using the Elimination method, which of these equations would indicate a correct first step?

• 8x - 18y = 27

• - 18y = 27

• 2y = 27

• 18y = 27

Solve the system of equations using the Elimination method:

- 4x - 8y = 10

4x - 10y = 17

• (8,1.5)

• (38,13.5)

• (0.5,-1.5)

• (1.75,-1)

Consider the following system of equations:

6x + 8y = 48

4x - y = 13

The next step to solve this system using the Elimination method is to create an equivalent system. Which of these systems is equivalent to the one above?

• 0.5x + y = 6

  4x - y = 13

• 6x + 8y = 48

  4x - 8y = 13

• 6x + 8y = 48

  - 32x + 8y = 104

• 6x + 8y = 48

  32x - 8y = 104

Solve the system of equations using the Elimination method:

6x + 8y = 48

4x - y = 13

• (2,4.5)

• (4,3)

• (5,7)

• (3.25,0)

Consider the system of equations below:

4x - 6y = 16

3x + 4y = -5

The next step to solve this system using the Elimination method is to create an equivalent system. Which of these systems is equivalent to the one above?

• 12x - 6y = 16

  -12x + 4y = -5

• 4x - 12y = 32

  3x + 12y = -15

• -12x - 18y = -48

  12x + 16y = -20

• 8x - 12y = 32

  9x + 12y = -15

Solve the system of equations using the Elimination method:

4x - 6y = 16

3x + 4y = -5

• (5.5,1)

• (-5,2.5)

• (1,-2)

• (4,0)

The local YMCA is hosting a fundraising picnic in Wolff Run Park. At the picnic, your family buys 4 sandwiches and 4 juice boxes for $20. Your friend's family buys 5 sandwiches and 6 juice boxes for $26.

Which of these systems of equations represents this situation?

• 8x = 20

  11y = 26

• 4x + 4y = 20

  5x + 6y = 26

• 4x + 6y = 20

  5x + 4y = 26

• 20x + 4y = 4

  26x + 5y = 6

The local YMCA is hosting a fundraising picnic in Wolff Run Park. At the picnic, your family buys 4 sandwiches and 4 juice boxes for $20. Your friend's family buys 5 sandwiches and 6 juice boxes for $26.

How much does a sandwich and a juice box cost?

• Sandwich = $2.50

  Juice box = $2.36

• Sandwich = $4.00

  Juice box = $1.00

• Sandwich = $2.00

  Juice box = $2.00

• Sandwich = $3.00

  Juice box = $2.00