Exam 4: Systems of Linear Equations

Use the table of values to solve the system.

On August 18 2009 a 6.3 magnitude earthquake was detected south of the Fiji Islands. On August 23 2009 a 5.2 magnitude earthquake was detected in the same area. How many times more intense was the August 18th earthquake than the August 23rd earthquake? (Rounded to the nearest hundredth)

You have two part-time jobs: in the library paying $7 per hour and at the student radio station paying $9 per hour. You want to earn at least $175 per week. In addition you can only work at most 25 hours per week. Let b be the hours you work in the library each week and let r be the hours that you work at the radio station each week. Is in the solution set of this system of inequalities?

Solve the system using the elimination method.

Graph the solution set of the linear inequality.

You are mixing two kinds of tea: black tea that costs $4 per pound and green tea that cost $9 per pound. You need exactly 8 pounds of nuts total and your budget is $39.50. Let b be the pounds of black tea and let g be the pounds of green tea. Solve the system by the method of substitution.

Fill in the blank. A magnitude 8 earthquake is _________ times more intense than a magnitude 3 earthquake.

You are mixing two kinds of nuts: cashews that cost $9 per pound and macadamia nuts that cost $14 per pound. You need exactly 5 pounds of nuts total and your budget is $54. Let c be the pounds of cashews and let m be the pounds of macadamia nuts. Solve the system by the method of substitution.

Your business making doodads has the following weekly revenue and cost equations. where R represents the weekly revenue in dollars C represents the weekly cost in dollars and d doodads are made and sold. Fill in the tables to find the break-even point.

A boat takes a long trip traveling 75 miles downstream in 5 hours. The return trip upstream takes hours. Let b be the rate of the boat in still water in miles per hour and let c be the rate of the current in miles per hour. Solve the system by the method of substitution.

If solving a system of equations using the substitution method results in which describes the system?

The difference of the first number and the second number is . The sum of double the first number and the second number is zero (0). Find the two numbers.

Solve the system of equations using the substitution method.

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

Graph the solution set for the system of inequalities.

For the system is a solution to the system?

The number of bees in a certain area of Arizona is modeled by the function where is measured in number of weeks. Determine the number of bees after 17 weeks. Rounded to the nearest whole number.

Write the linear inequality for the given graph.

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?

Solve the system using the elimination method.