Exam 6: Systems of Linear Equations and Inequalities

Select the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

Maximize z = 2x + 5y subject to:

A catering company mixes cooked shredded beef with roasted Anaheim chilies to use as the filling in their house specialty burrito. How many pounds of both shredded beef that sells for$6.63 per pound and chilies that sell for $1.62 per pound must be mixed to produce 95 pounds of the mixture, witch sells for $454.50? Let b represent the number of pounds of beef and c represent the number of pounds of chilies.

Select the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

Solve the system of linear equations by graphing the following equations. -3x + 5y = -14 2x + 5y = -24

Solve the system of linear equations by elimination. -4j + 3k = 3 -3j - 3k = -45

A candy company mixes chocolate and peanuts to create one of their signature confections. How many pounds of chocolate costing $11.82 per pound must be mixed with peanuts costing $4.37 per pound to create 50 pounds of mixture that costs $330.25? Let c represent the number of pounds of chocolate and p represent the number of pounds of peanuts.

Solve the system of linear equations by substitution. 2z - 7w = 18 2z - 7w = 5

Select the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

Maximize z = 6x - 3y subject to:

Find the solution to the system of inequalities. 5x + 2y < 5 2y < 13 - 5x

Graph the linear inequality.

Solve the system of linear equations for a, b, and c. 6a - 4b + 7c = 652 A + 7b - 2c = -33 6a - 5b + 8c = 73

Match the graph to the system of inequalities.

Minimize z = -8x - 5y

Solve the system of linear equations for x, y, and z.

Solve the system of linear equations by graphing the following equations. 2x + 4y = -2 9x + 8y = 21

Solve the linear system of equations for k, m, and n. -6k - 3m + 4n = -21 -4k + 5m - 2n = -21 -3k - 8m - 8n = -47

Solve the system of linear equations for x, y, and z.