Elimination_Method_Quiz.doc

Solving Systems by Elimination Quiz

1. What is the y-coordinate of the solution pair for the system below? The x-coordinate of the solution pair has been determined as shown using the elimination method.

a. y = 3

b. y = 2

c. y = 1

d. y = 0

2. Which equation will result when the two equations of the system below are added together?

a. 7x – 4y = 14

b. 7x + 4y = 14

c. 7x = 14

d. x – 4y = 2

3. Alexandria used the elimination method to begin solving the following system of equations. What will be her final solution?

a. x = 2, y = 2

b. x = 3/2, y = 2

c. x = -3/2, y = 2

d. x = -2/3, y = 7

4. A system of equations is shown below.

4x – 5y = -10

2x – 7y = 4

Which operations on the system of equations will isolate the y variable?

a. Multiply the second equation by 2 and add the result to the first equation.

b. Multiply the second equation by -2 and add the result to the first equation.

c. Multiply the first equation by 7 and the second equation by 5 and add the resulting equations.

d. Multiply the first equation by -7 and the second equation by -5 and add the resulting equations.

5. A system of equations is shown below.

3x + 2y = -4

x + 3y = 1

If the second equation is multiplied by a constant and the result is added to the first equation, which equation could result?

a. -7y = -7

b. -2x = 5

c. 5y = -3

d. 11x = -10

6. Use the elimination method to solve the system of equations.

2x + 3y = 19

8x – 3y = -14

a. (1/2, 6)

b. (6, ½)

c. (3.3, 4)

d. (0.5, -6)

7. Use the elimination method to determine which is a solution to the system of equations below.

x + 2y = 12

-x + 4y = 18

a. (6, 3)

b. (0, 3)

c. (1. 5)

d. (2, 5)

8. Use the elimination mehtod to solve the system below for x and y.

6x + y = 51

x – 2y = 2

a. (8, 3)

b. (3, 8)

c. (3, -8)

d. (-8, 3)