Christine Davis - IU8
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Algebra (Systems of Linear Equations) Quiz on Solving Systems Using Elimination, created by Christine Davis - IU8 on 29/07/2017.

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Christine Davis - IU8
Created by Christine Davis - IU8 about 7 years ago
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Solving Systems Using Elimination

Question 1 of 6

2

Choose the system of equations that represents the following situation: You buy 5 pairs of socks for $19. The wool socks cost $5 per pair and the cotton socks cost $3 per pair.

Select one of the following:

  • x + y = 7 and x + 3y = 19

  • x + y = 7 and x + 5y = 19

  • x + y = 5 and 3x + 5y = 19

  • x - y = 5 and x + y = 19

Explanation

Question 2 of 6

2

You exercised on a treadmill for 1.5 hours. You jogged at 4 miles per hour then sprinted at 6 miles per hour. The treadmill monitor shows that you ran for a total of 7 miles. How long did you run at each speed?

Select one of the following:

  • Sprint for 0.5 hours, jog for 1 hour

  • Sprint for 1 hour, jog for 0.5 hours

  • Sprint for 0.75 hours, jog for 0.75 hours

  • Sprint for 0.25 hours, jog for 1.25 hours

Explanation

Question 3 of 6

2

Use elimination to solve the system x - 2y = 4 and 6x + 2y = 10

Select one of the following:

  • (-1, 2)

  • (1, -2)

  • (2, -1)

  • (-2, 1)

Explanation

Question 4 of 6

1

Which system of equations has solution (2, 1)?

Select one of the following:

  • 2x + y = 5 and x - y = 1

  • x + y = 0 and 3x + 2y = 1

  • 2x - 3y = - 7 and 3x + y = - 5

  • x + 2y = 1 and 5x - 4y = -23

Explanation

Question 5 of 6

2

Consider the system 4x - 3y = 6 and 6x + y = 10. The first equation is multiplied by 3. By what number would you multiply the second equation in order to eliminate the x variable by adding?

Select one of the following:

  • -2

  • 2

  • 9

  • -9

Explanation

Question 6 of 6

1

Solve the system 2x + 3y = 5 and 3x - 2y = 1

Select one of the following:

  • (3, 4)

  • (1, 1)

  • (-2, 3)

  • (4, -1)

Explanation