2. Introduction to Linear Systems

Systems Of Linear Equations In Context — Quiz

Test your understanding of systems of linear equations in context with 5 practice questions.

Practice Questions

Question 1

A theater sells adult tickets $a$ and student tickets $s$. Two adult tickets and one student ticket cost $23$, and one adult ticket and two student tickets cost $22$. Which system models the situation?

Question 2

If the solution to a system is $(4,2)$ and $x$ represents notebooks while $y$ represents pens, what does the solution mean?

Question 3

If two linear equations in a system describe the same line, how many solutions does the system have?

Question 4

In a real-world situation, a system of linear equations has no solution. What does this mean?

Question 5

A parking garage charges $6$ to enter plus $2$ per hour. Another garage charges $10$ to enter plus $1$ per hour. Which system models the total cost $C$ after $h$ hours?