Exam 7: Systems of Linear Equations and Inequalities in Two Variables

Last month, a bookstore ran the ad shown in Illustration and sold calculators, generating $ in sales. How many of each type of calculator did the bookstore sell?

A sporting goods manufacturer allocates at least 1,200 units of time per day to make fishing rods and reels. If it takes 15 units of time to make a rod and 30 units of time to make a reel, graph an inequality that shows the possible ways to schedule the time to make rods ( x ) and reels ( y ). Graph the inequality for nonnegative values of x and y .

Graph the inequality.

Find the solution set of the system of inequalities.

Solve the system by graphing:

Melodic Music has compact discs on sale for either $15 or $20. If a customer wants to spend at least $60 but no more than $120 on CDs, graph a system of inequalities that will show the possible ways a customer can buy $15 CDs ( x ) and $20 CDs ( y ).

Solve the system by graphing:

Graph the inequality.

Solve the system by graphing:

Solve the system by graphing:

Tickets to a concert cost $6 for reserved seats and $4 for general admission. If receipts must be at least $10,200 to meet expenses, graph an inequality that shows the possible ways that the box office can sell reserved seats ( x ) and general admission tickets ( y ). Graph the inequality for nonnegative values of x and y .

Solve the system by graphing:

Solve the system by graphing:

A distributor wholesales desk chairs for $200 and side chairs for $100. Best Furniture wants to order no more than $1,200 worth of chairs and wants to order more side chairs than desk chairs. Find a system of inequalities whose graph will show the possible combination of desk chairs ( x ) and side chairs ( y ) that can be ordered, graph the system of inequalities, and determine whether the ordered pairs satisfy the inequality.

Tell whether the ordered pair (- 5, 3) is a solution of the given system.

Find the solution set of the system of inequalities.

Graph the inequality.

Determine whether the ordered pair is a solution of the system of equations shown below. Ordered pair System of equations

Sue bought 3 packages of cookies and 2 sacks of potato chips for $3.63. Later she bought 5 more packages of cookies and 3 additional sacks of potato chips for $5.87. Find the price of a package of cookies.

The ordered pair (1, 3) is a solution of the given system.