Question 1

The matrix   represents a system of equations in reduced row echelon form. Identify the solution of the system of equations.

Accepted Answer

A)  (2, 0, -1) 
B)  (1, 0, 0) 
C)  (-1, 0, 2) 
D)  infinitely many solutions 
E)  no solution 
A)  (2, 0, -1) 
B)  (1, 0, 0) 
C)  (-1, 0, 2) 
D)  infinitely many solutions 
E)  no solution

Question 2

Solve the system of equations by substitution.
-

Accepted Answer

A)  {7 ,-11} 
B)  {7 ,-9} 
C)  {8 ,-11} 
D)  infinitely many solutions 
E)  no solution 
A)  {7 ,-11} 
B)  {7 ,-9} 
C)  {8 ,-11} 
D)  infinitely many solutions 
E)  no solution

Question 3

Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.
-

Accepted Answer

A)    
B)    
C)    
D)  infinitely many solutions 
E)  no solution 
A)    
B)    
C)    
D)  infinitely many solutions 
E)  no solution

Question 4

Solve the system using any method.
-

Accepted Answer

A)  {0 , 0} 
B)  {   } 
C) {   } 
D)  infinitely many solutions 
E)  no solution 
A)  {0 , 0} 
B)  {   } 
C) {   } 
D)  infinitely many solutions 
E)  no solution

Question 5

The matrix   represent a system of equations in reduced row echelon form. Identify the solution of the system of equations.

Accepted Answer

A)  (0, 0, 0) 
B)  (5, 3, 6) 
C)  (5, 3, 0) 
D)  infinitely many solutions 
E)  no solution 
A)  (0, 0, 0) 
B)  (5, 3, 6) 
C)  (5, 3, 0) 
D)  infinitely many solutions 
E)  no solution

Question 6

An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let
   the amount invested in Treasury Notes and   the amount invested in corporate bonds.
-Graph the constraints.

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these

Question 7

Suppose that you receive an inheritance of $48,000. You decide to invest some of the money in stocks and some in certificates of deposit (CDs). Because the CDs are a less risky investment you want to put 3 times as much into CDs as stocks. How much are you going to invest in each type of account?

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these

Question 8

Use an algebraic method to determine which of the ordered triples is a solution to the system.

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these

Question 9

A Saturday matinee sells adult tickets for $6.50 and kid tickets, for kids under 12, for $4.00. A total of 150 tickets were sold, and the revenue from the ticket sales was $805. Find the number of adult tickets and the number of kid tickets sold.

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these

Question 10

Solve the system of equations by substitution.
-

Accepted Answer

A)  {-1 ,5} 
B)  {0 ,-5} 
C)  {5 ,0 } 
D)  infinitely many solutions 
E)  no solution 
A)  {-1 ,5} 
B)  {0 ,-5} 
C)  {5 ,0 } 
D)  infinitely many solutions 
E)  no solution

The matrix represents a system of equations in reduced row echelon form. Identify the solution of the system of equations.

Solve the system of equations by substitution. -

Solve the system of equations using elimination, if possible, and express the solution as an ordered triple. -

Solve the system using any method. -

The matrix represent a system of equations in reduced row echelon form. Identify the solution of the system of equations.

Suppose that you receive an inheritance of $48,000. You decide to invest some of the money in stocks and some in certificates of deposit (CDs). Because the CDs are a less risky investment you want to put 3 times as much into CDs as stocks. How much are you going to invest in each type of account?

Use an algebraic method to determine which of the ordered triples is a solution to the system.

A Saturday matinee sells adult tickets for $6.50 and kid tickets, for kids under 12, for $4.00. A total of 150 tickets were sold, and the revenue from the ticket sales was $805. Find the number of adult tickets and the number of kid tickets sold.

Solve the system of equations by substitution. -

Fundamentals of Algebra

Polynomials and Absolute Value

Relations and Functions

Rational Expressions, Equations and Functions

Radical Expressions, Equations and Functions

Quadratic Expressions, Equations and Functions

Exponential and Logarithmic Expressions, Equations and Functions

Conic Sections Systems of Non-Linear Equations

Sequences, Series and the Binomial Theorem

Filters

Exam 4: Systems of Linear Equations

The matrix represents a system of equations in reduced row echelon form. Identify the solution of the system of equations.

Solve the system of equations by substitution. -

Solve the system of equations using elimination, if possible, and express the solution as an ordered triple. -

Solve the system using any method. -

The matrix represent a system of equations in reduced row echelon form. Identify the solution of the system of equations.

Suppose that you receive an inheritance of $48,000. You decide to invest some of the money in stocks and some in certificates of deposit (CDs). Because the CDs are a less risky investment you want to put 3 times as much into CDs as stocks. How much are you going to invest in each type of account?

Use an algebraic method to determine which of the ordered triples is a solution to the system.

A Saturday matinee sells adult tickets for $6.50 and kid tickets, for kids under 12, for $4.00. A total of 150 tickets were sold, and the revenue from the ticket sales was $805. Find the number of adult tickets and the number of kid tickets sold.

Solve the system of equations by substitution. -

Fundamentals of Algebra

Polynomials and Absolute Value

Relations and Functions

Rational Expressions, Equations and Functions

Radical Expressions, Equations and Functions

Quadratic Expressions, Equations and Functions

Exponential and Logarithmic Expressions, Equations and Functions

Conic Sections Systems of Non-Linear Equations

Sequences, Series and the Binomial Theorem

Filters