Substitution

Description

Algebra (Systems of Linear Equations) Quiz on Substitution, 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
The system of equations y = -3x + 5 and y = -3x - 7 has
Answer
  • Exactly one solution
  • No solution
  • Infinitely many solutions
  • Exactly two solutions

Question 2

Question
To solve the system of equations 5x + 3y = 9 and 4x + y = 8, which expression could be substituted for y into the first equation?
Answer
  • 12x - 3y
  • 4x - 8
  • -3/5x + 3
  • 8 - 4x

Question 3

Question
Solve the system of equations 5x + 2y = 1 and y = 1 - 3x
Answer
  • (1, -2)
  • (1, 2)
  • (0, 1/2)
  • (-2, 1)

Question 4

Question
To furnish a cafeteria, a school can spend $5200 on tables and chairs. Tables cost $200 and chairs cost $40. Each table will have 8 chairs around it. How many tables and chairs will the school purchase?
Answer
  • 20 tables and 160 chairs
  • 10 tables and 80 chairs
  • 5 tables and 40 chairs
  • 30 tables and 240 chairs

Question 5

Question
Solve the system of equations x + 3y = 12 and 5x + y = 4
Answer
  • (4, 0)
  • (0, 4)
  • (0, -4)
  • (-4, 0)

Question 6

Question
The system of equations y = 2x - 3 and y = 4x - 3 has
Answer
  • Exactly two solutions
  • No solution
  • Infinitely many solutions
  • Exactly one solution
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