Exam 4: Systems of Linear Equations

You bought snacks on two different days. The first day you bought 2 candy bars and 3 cups of coffee for a total of $6.50. The second day you bought 5 candy bars and 3 cups of coffee for a total of $9.50. Let b be the price of one candy bar and let f be the price of one cup of coffee. Which is the system of equations described by the problem?

Graph the solution set for the system of inequalities.

The graph below shows the solution set to an inequality. Is the point in the solution set?

Use the graph to determine the solution to the system of equations.

Test to determine whether the given point is in the solution set of the system of inequalities.

The graph of a logarithmic function is shown below. Find the base .

Find the logarithm of .

You are working two part-time jobs. The mall job pays $9 per hour and the construction job pays $12 per hour. The total hours you have available to work in a week is 23. You want to earn $252 total from the two jobs. If m is the hours you work at the mall and c is the hours you work construction determine the system of equations described in the problem and solve the system interpreting your solution.

The graph below shows the solution set to an inequality. Is the point in the solution set?

The method of solving a system of equations by substitution only works if one of the coefficients of a variable is one.

Graph the solution set for the system of inequalities.

Which one of the following is the correct combination of the logarithm in simplified form?

Using the definition of the logarithmic function solve .

Use the graph to determine the solution to the system of equations.

The half-life of Radon-222 is 3.8 days. A 32-gram sample of Radon-222 is monitored for one day. How long will it take for the sample to be 24% of the initial amount? (rounded to the nearest hundredths)?

The initial size of a population is 2700 and it has an instantaneous decay rate of 30% per year. Which one of the following exponential functions model this population where is measured in years?

Solve the system using the elimination method.

Every system of equations has exactly one solution.

Test to determine whether the given point is in the solution set of the system of inequalities.