Question 1

Graph the inequality.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 2

Graph the system of inequalities.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 3

Solve the system of equations using matrices (row operations). If the system has no solution, say that it is
inconsistent.
-

Accepted Answer

A) x = 2, y = -5; (2, -5) 
B) x = -5, y = 2; (-5, 2) 
C) x = -5, y = -2; (-5, -2) 
D) inconsistent 
A) x = 2, y = -5; (2, -5) 
B) x = -5, y = 2; (-5, 2) 
C) x = -5, y = -2; (-5, -2) 
D) inconsistent

Question 4

Solve the system of equations.
-

Accepted Answer

A) x = 5, y = -3, z = 1; (5, -3, 1) 
B) x = 5, y = 1, z = -3; (5, 1, -3) 
C) x = 1, y = -3, z = 5; (1, -3, 5) 
D) inconsistent 
A) x = 5, y = -3, z = 1; (5, -3, 1) 
B) x = 5, y = 1, z = -3; (5, 1, -3) 
C) x = 1, y = -3, z = 5; (1, -3, 5) 
D) inconsistent

Question 5

Solve the system of equations by elimination.
-

Accepted Answer

A) x = 8, y = -8; (8, -8) 
B) x = -8, y = 8; (-8, 8) 
C) x = 12, y = -12; (12, -12) 
D) x = -2, y = 8; (-2, 8) 
A) x = 8, y = -8; (8, -8) 
B) x = -8, y = 8; (-8, 8) 
C) x = 12, y = -12; (12, -12) 
D) x = -2, y = 8; (-2, 8)

Question 6

Find the value of the determinant.
-

Accepted Answer

A) 1 
B) 7 
C) -1 
D) 4 
A) 1 
B) 7 
C) -1 
D) 4

Question 7

Find the value of the determinant.
-

Accepted Answer

A) 36 
B) 40 
C) -36 
D) 52 
A) 36 
B) 40 
C) -36 
D) 52

Question 8

Use the properties of determinants to find the value of the second determinant, given the value of the first.
-

Accepted Answer

A) 61 
B) -61 
C) 0 
D) Cannot determine 
A) 61 
B) -61 
C) 0 
D) Cannot determine

Question 9

Write the word or phrase that best completes each statement or answers the question.
Graph the equations of the system. Then solve the system to find the points of intersection.
-

Accepted Answer

The answer of Write the word or phrase that best...

Question 10

Solve the linear programming problem.
-A doctor has told a patient to take vitamin pills. The patient needs at least 12 units of vitamin A and atleast 8 units of vitamin D. The red vitamin pills cost 20¢ each and contain 3 units of A and 1 unit of D. Theblue vitamin pills cost 35¢ each and contain 2 units of A and 2 units of D. To avoid indigestion, the patientshould take no more than 6 red pills and no more than 9 blue pills. How many pills should the patient takeeach day to minimize costs?

Accepted Answer

A) 2 red and 3 blue 
B) 6 red and 1 blue 
C) 0 red and 9 blue 
D) 6 red and 9 blue 
A) 2 red and 3 blue 
B) 6 red and 1 blue 
C) 0 red and 9 blue 
D) 6 red and 9 blue

Question 11

Use a graphing utility to solve the system of equations. Express the solution rounded to two decimal places.
-

Accepted Answer

A) x = 4.76, y = -1.52; x = 0.01, y = 5.00 or (4.76, -1.52), (0.01, 5.00) 
B) x = -4.76, y = 1.52; x = -0.01, y = 5.00 or (-4.76, 1.52), (-0.01, 5.00) 
C) x = 5.12, y = -3.67; x = 0.76, y = 2.05 or (5.12, -3.67), (0.76, 2.05) 
D) x = 5.12, y = 3.67; x = -0.76, y = 2.05 or (5.12, 3.67), (-0.76, 2.05) 
A) x = 4.76, y = -1.52; x = 0.01, y = 5.00 or (4.76, -1.52), (0.01, 5.00) 
B) x = -4.76, y = 1.52; x = -0.01, y = 5.00 or (-4.76, 1.52), (-0.01, 5.00) 
C) x = 5.12, y = -3.67; x = 0.76, y = 2.05 or (5.12, -3.67), (0.76, 2.05) 
D) x = 5.12, y = 3.67; x = -0.76, y = 2.05 or (5.12, 3.67), (-0.76, 2.05)

Question 12

Write the word or phrase that best completes each statement or answers the question.
-If   find -5A + 4B.

Accepted Answer

The answer of Write the word or phrase that best...

Question 13

Each matrix is nonsingular. Find the inverse of the matrix. Be sure to check your answer.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 14

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

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 15

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

Accepted Answer

A) x = 2, y = 4; (2, 4) 
B) x = 2, y = 3; (2, 3) 
C) x = 4, y = 2; (4, 2) 
D) inconsistent 
A) x = 2, y = 4; (2, 4) 
B) x = 2, y = 3; (2, 3) 
C) x = 4, y = 2; (4, 2) 
D) inconsistent

Question 16

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

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 17

Solve the system of equations using substitution.
-

Accepted Answer

A) x = 8, y = 7; x = 7, y = 8 or (8, 7), (7, 8) 
B) x = -8, y = 7; x = -7, y = 8 or (-8, 7), (-7, 8) 
C) x = 8, y = -7; x = 7, y = -8 or (8, -7), (7, -8) 
D) x = -8, y = -7; x = -7, y = -8 or (-8, -7), (-7, -8) 
A) x = 8, y = 7; x = 7, y = 8 or (8, 7), (7, 8) 
B) x = -8, y = 7; x = -7, y = 8 or (-8, 7), (-7, 8) 
C) x = 8, y = -7; x = 7, y = -8 or (8, -7), (7, -8) 
D) x = -8, y = -7; x = -7, y = -8 or (-8, -7), (-7, -8)

Question 18

Write the augmented matrix for the system.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 19

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-Ron attends a cocktail party (with his graphing calculator in his pocket). He wants to limit his food intaketo 163 g protein, 147 g fat, and 195 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?

Accepted Answer

A) 9 mushrooms, 6 meatballs, 4 eggs 
B) 6 mushrooms, 4 meatballs, 9 eggs 
C) 4 mushrooms, 9 meatballs, 6 eggs 
D) 10 mushrooms, 7 meatballs, 5 eggs 
A) 9 mushrooms, 6 meatballs, 4 eggs 
B) 6 mushrooms, 4 meatballs, 9 eggs 
C) 4 mushrooms, 9 meatballs, 6 eggs 
D) 10 mushrooms, 7 meatballs, 5 eggs

Question 20

Graph the system of inequalities.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Graph the inequality. -

Graph the system of inequalities. -

Solve the system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. -

Solve the system of equations. -

Solve the system of equations by elimination. -

Find the value of the determinant. -

Find the value of the determinant. -

Use the properties of determinants to find the value of the second determinant, given the value of the first. -

Write the word or phrase that best completes each statement or answers the question. Graph the equations of the system. Then solve the system to find the points of intersection. -

Use a graphing utility to solve the system of equations. Express the solution rounded to two decimal places. -

Write the word or phrase that best completes each statement or answers the question. -If find -5A + 4B.

Each matrix is nonsingular. Find the inverse of the matrix. Be sure to check your answer. -

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

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

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

Solve the system of equations using substitution. -

Write the augmented matrix for the system. -

Graph the system of inequalities. -

Equations and Inequalities

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Analytic Geometry

Sequences; Induction; the Binomial Theorem

Counting and Probability

Graphing Utilities

Filters

Exam 8: Systems of Equations and Inequalities

Graph the inequality. -

Graph the system of inequalities. -

Solve the system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. -

Solve the system of equations. -

Solve the system of equations by elimination. -

Find the value of the determinant. -

Find the value of the determinant. -

Use the properties of determinants to find the value of the second determinant, given the value of the first. -

Write the word or phrase that best completes each statement or answers the question. Graph the equations of the system. Then solve the system to find the points of intersection. -

Use a graphing utility to solve the system of equations. Express the solution rounded to two decimal places. -

Write the word or phrase that best completes each statement or answers the question. -If find -5A + 4B.

Each matrix is nonsingular. Find the inverse of the matrix. Be sure to check your answer. -

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

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

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

Solve the system of equations using substitution. -

Write the augmented matrix for the system. -

Graph the system of inequalities. -

Equations and Inequalities

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Analytic Geometry

Sequences; Induction; the Binomial Theorem

Counting and Probability

Graphing Utilities

Filters