Exam 4: Systems of Linear Equations

Your business baking cupcakes has the following revenue and cost equations. where R represents the revenue in dollars C represents the cost in dollars and k cupcakes are baked and sold. Fill in the tables to find the break-even point.

Graph the solution set of the linear inequality.

Write the linear inequality for the given graph.

Graphically determine the solution to the system of equations. Clearly label and scale all graphs. Identify the system as consistent or inconsistent.

Solve the system using the elimination method.

You are choosing between two jobs. The first job pays $450 per week. The second job pays $250 per week plus 8% of your sales. The system of equations that describes the salary S based on sales of x dollars is Is a solution to the system?

Two angles are supplementary. One angle has a measure of 88°. Find the measure of the other angle.

A solution to a system of linear equations is one (or more) __________ that is a solution to every linear equation in the system.

If then . Assume that is a one-to-one function.

You calculate that your grade goes up 1 point for every hour you study mathematics in a week and 0.5 point for every hour you study English in a week. You want to raise your grade total by at least 10 points. Let m be the number of hours you study mathematics each week and let e be the number of hours you study English each week. Write the inequality described here and graph its solution set.

Solve the system of equations using the substitution method.

The college Symphony Orchestra is performing and has 550 tickets to sell. Some tickets are for students going for $5 each and the rest are for general admission at $20 each. The Orchestra would like to collect at least $6000 in ticket sales. Let s be the number of student tickets sold and let g be the number of general admission tickets sold. Write the system of linear inequalities that describes this situation and graphically solve the system of inequalities.

Solve the system of equations using the substitution method.

If we know the amount of light that is absorbed in a solution we can calculate the concentration of the substance dissolved in water using a spectrophotometer. For a certain substance the concentration (in moles/liter) is given by the formula where is the intensity of the incident light and is the intensity of light that emerges. What is the concentration of the substance if the intensity is 45% of ?

Two angles are supplementary. One angle has a measure of 107°. Find the measure of the other angle.

Which one of the following exponential equations is equivalent to .

Graphically determine the solution to the system of equations. Clearly label and scale all graphs. Identify the system as consistent or inconsistent.

For any the logarithm function is always decreasing.

Your business baking cupcakes has the following revenue and cost equations. where R represents the revenue in dollars C represents the cost in dollars and k cupcakes are baked and sold. Approximate the break-even point by graphing the system.