Systems of Equations Quiz: Solutions and Number of Solutions

Question 1

Which point is a solution to the system?
$$
\begin{cases}
 y = 2x \
 y = x + 3
\end{cases}
$$

Accepted Answer

$(3,6)$

Answer

$(1,5)$

Answer

$(6,3)$

Answer

$(0,3)$

Question 2

Which statement best describes what a “solution” of a system of equations means?

Accepted Answer

An ordered pair $(x,y)$ that makes both equations true

Answer

A value of $x$ that makes at least one equation true

Answer

The $y$-intercept of the steeper line

Answer

A point where the lines have the same slope

Question 3

Two friends compare phone plans. Plan A costs 10 dollars plus 2 dollars per gigabyte: $C=10+2g$. Plan B costs 4 dollars plus 3 dollars per gigabyte: $C=4+3g$. What does the solution to this system mean?

Accepted Answer

The gigabytes where both plans cost the same amount

Answer

The cheapest plan for every number of gigabytes

Answer

The monthly fee for Plan A

Answer

The total cost when $g=0$ for both plans

Systems of Equations Quiz: Solutions and Number of Solutions

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