Exam 4: Systems of Linear Equations

You are working two part-time jobs. The babysitting job pays $7 per hour and the teaching job pays $16 per hour. The total hours you work in a week is 35. You earn $299 total from the two jobs. If b is the hours you work babysitting and t is the hours you work teaching determine the system of equations described in the problem and solve the system interpreting your solution.

As a first step in solving the system by the method of elimination you multiply the first equation by 2. Your result is . Is this correct?

A car dealer advertises a 35% discount on all cars available in the current inventory. In addition the car dealer offers a $1800 rebate on the purchase of a new care. The dealer decides to apply the rebate first and then award the 35% discount afterwards. Let represent the sticker price of the new car. Which one of the following functions model the final price of the car once the rebate and discount have been awarded?

Which one of the following exponential equations is equivalent to ?

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

Two functions and are given by the tables below. Determine .

Solve the system of equations using the substitution method.

Graph the solution set of the linear inequality.

You are choosing between two jobs. Job one pays $10 per hour for 32 hours per week. Job 2 pays $8 per hour plus a commission of 10% of your sales again based on 32 hours per week. At what amount of sales is your weekly pay the same at the two jobs? Let s be your amount of sales and let p be amount of pay. Use the table of values to solve the system.

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. Find the solution and interpret it.

Solving a system by substitution or solving the same system by graphing gives the same solution.

Solve the system of equations using the substitution method.

Is the point in the solution set of ?

Solve the system of equations using the substitution method.

Graph the solution set of the linear inequality.

When you find the solution set for a linear inequality by graphing you first graph the line. When you decide which region above or below the line to shade pick a point not on the line to substitute into the original inequality. If that point makes the inequality true shade in the region that contains the test point.

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

Find .

Determine whether the given point is in the solution set of the system of inequalities graphed below.

On August 21 2009 the World Health Organization announced its prediction that the number of new cases of H1N1 (swine flu) virus would double every 3 days for several months. Determine the daily growth factor for the H1N1 virus (rounded to the nearest thousandths).