Real World Linear System Graph Problems

There are 47 people attending a play at an outdoor theater. There are 11 groups of people sitting in groups of 3 or 5. Which system of equations best represents this story?

What is the solution to the system of linear equations from the graph?

• No solution

• Infinite Solutions

• (0,1)

• (1,0)

• 1

The two tables show Calvin and Elaina's earnings per hour. When do they both earn the same amount?

• After 10 hours of work they both earn $250.

• Elaina always earns more.

• Calvin always earns more.

• After 5 hours of work they both earn $125.

A solution to a system tells us when...

• x and y are the SAME for both equations

• x is GREATER than y on one equation

• y is GREATER than x on one equation

• x and y START on the graph

• The solution to the system is (10,5)

• The only solution to the system is (0,14)

• The system has no solution.

• The system has infinite solutions.

Identify the nature of solution from the graph given.

• Consistent and unique solution

• Inconsistent : No solution

Decide if the following statements are true or false about the graph.

Groups:

(a) True

,

(b) False

• The lines are perpendicular which means they will not ever cross.

• The slopes are equal, so the system has infinitely many solutions

• The line are parallel, so the system has no solution

• The lines will not intersect, so the system has no solution

• The lines will eventually touch, so the system has one solution

• The slope(m) of the lines are equal

What is the solution for the system of linear equations

• (0, 6)

• (3, 0)

• (4, 4)

• (4, 0)

Which statement describes Kayla's solutions?

• Her solutions are correct.

• She marked the y-intercepts instead of the x-intercepts.

• She marked the y-intercepts instead of the intersection point of the two lines.

• She marked only the y-intercepts instead of the x- and y-intercepts.

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)