Exam 8: Systems of Equations and Inequalities

Solve the problem. -The final grade for an algebra course is determined by grades on the midterm and final exam. The gradesfor four students and two possible grading systems are modeled by the following matrices. Find the final course score for Student 3 for both grading System 1 and System 2.

Compute the product. -

Solve the system of equations. -

Write the word or phrase that best completes each statement or answers the question. -

Write the partial fraction decomposition of the rational expression. -

Solve the system of equations by substitution. -

Write the augmented matrix for the system. -

Write the word or phrase that best completes each statement or answers the question. -Find the dimensions of a rectangle whose perimeter is 36 feet and whose area is 80 square feet.

Solve the system of equations. If the system has no solution, say that it is inconsistent. -

Solve the system of equations using Cramerʹs Rule if it is applicable. If Cramerʹs Rule is not applicable, say so. -

Solve the system of equations by substitution. -

Write the word or phrase that best completes each statement or answers the question. Show that the matrix has no inverse. -

Find the value of the determinant. -

Write the word or phrase that best completes each statement or answers the question. -Ron attends a cocktail party (with his graphing calculator in his pocket). He wants to limit his food intaketo 149 g protein, 140 g fat, and 180 g carbohydrate. According to the health conscious hostess, themarinated mushroom caps have 3 g protein, 5 g fat, and 9 g carbohydrate; the spicy meatballs have 14 gprotein, 7 g fat, and 15 g carbohydrate; and the deviled eggs have 13 g protein, 15 g fat, and 6 gcarbohydrate. How many of each snack can he eat to obtain his goal?

Solve using elimination. -

Solve the system using the inverse matrix method. - The inverse of

Write the word or phrase that best completes each statement or answers the question. -

Write a system of linear inequalities that has the given graph. -

Solve the system of equations using substitution. -

Solve the system of equations using substitution. -