Solving Systems Using Elimination

Description

Algebra (Systems of Linear Equations) Quiz on Solving Systems Using Elimination, created by Christine Davis - IU8 on 29/07/2017.
Christine Davis - IU8
Quiz by Christine Davis - IU8, updated more than 1 year ago
Christine Davis - IU8
Created by Christine Davis - IU8 about 7 years ago
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Resource summary

Question 1

Question
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.
Answer
  • 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

Question 2

Question
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?
Answer
  • 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

Question 3

Question
Use elimination to solve the system x - 2y = 4 and 6x + 2y = 10
Answer
  • (-1, 2)
  • (1, -2)
  • (2, -1)
  • (-2, 1)

Question 4

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

Question 5

Question
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?
Answer
  • -2
  • 2
  • 9
  • -9

Question 6

Question
Solve the system 2x + 3y = 5 and 3x - 2y = 1
Answer
  • (3, 4)
  • (1, 1)
  • (-2, 3)
  • (4, -1)
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