Exam 3: When Lines Meet: Linear Systems

The ski club wishes to raise money for this year's ski competitions. The club decides to sell shorts and t-shirts with the ski team logo for $12 for a pair of shorts and $13 for a t-shirt. At the end of the fundraiser, 166 items had been sold and a total of $2078 had been raised for the club. How many of each item were sold?

The Wisconsin Agricultural Extension office publishes recommendations for farmers. A recent publication stated that dairy cows should be fed corn (C) according to their production (P) of milk, with the minimum amount of corn being given by the equation C_min = 0.36P + 5 and the maximum amount of corn being C_max = 0.39P + 7. Create a system of inequalities to describe the recommendation.

Solve the system by substitution.

The safe capacity (in pounds) of a portable propane tank is given by the formula: C_max = 19 - 0.012T. Where T is the current temperature. When the temperature is 41°, is it safe to fill the tank to a capacity of 19.29 pounds?

Schiel Construction and Excavating charges a destination fee of $200 plus $80 per hour for jobs that take less than 3 hours. For jobs that take 3 or more hours, but less than 8 hours, the destination fee is $175 and the hourly charge is $75. For jobs taking 8 hours or more, the charge is simply $70 per hour. What the charge be for a job that takes 18 hours?

A large freight truck leaves the terminal at 8:00 a.m. on a cross-country run. At 9:00 a.m., it is discovered that one package was left behind at the terminal. A small truck leaves the terminal at 9:00 a.m. to catch the large truck. If the large truck is moving at 60 miles per hour and the small truck travels at 70 miles per hour, how long (in hours) will it take the small truck to catch the large truck?

Create a compound inequality to describe the shaded region on the graph:

Determine whether is a solution to the following system.

Create an inequality to describe the shaded region.

On the grid provided, graph and shade in the areas described by the linear inequality:

Determine whether is a solution to the following system.

Create a graph for the piecewise function.

Solve the system.

Estimate the solution of the system pictured.

State whether the system of equations illustrated by each graph has "One solution", "No solution", or "Infinitely many solutions".

Select an inequality to describe the shaded region.

Use an inequality to describe the shaded region.

Determine which ordered pairs are solutions to the system of equation. 3x + 3y = 9 -2x - 4y = -8

Create a graph for the piecewise function.

From the graph shown, identify where y1 > y2. Give your answer in interval form.