Question 1

Use constant multiples of only the top equation to eliminate the variable z from the system of equations. Which system of two equations results?

Accepted Answer

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

Question 2

Use constant multiples of only the top equation to eliminate the variable y from the system of equations. Which system of two equations results?

Accepted Answer

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

Question 3

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.
-Write four constraints that describe this situation.

Accepted Answer

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

Question 4

Solve the system using any method.
-

Accepted Answer

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

Question 5

Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.
-

Accepted Answer

A) (-3, -3, -3) 
B)  (-4, 0, 3) 
C)  ( -2, -8, 6) 
D)  infinitely many solutions 
E)  no solution 
A) (-3, -3, -3) 
B)  (-4, 0, 3) 
C)  ( -2, -8, 6) 
D)  infinitely many solutions 
E)  no solution

Question 6

Use an algebraic method to determine for which, if any, system {6 , -2} is a solution.

Accepted Answer

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

Question 7

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 8

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 9

Two bicyclists leave the same point at the same time and travel in opposite directions. One cyclist rides at an average speed of 9 mph and the other at an average speed of 12 mph. Find the distance each cyclist has gone when the distance between them is 22 miles. Round your answer to the nearest tenth of a mile.

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 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 11

Use the system of inequalities.  
-Graph the system of inequalities.

Accepted Answer

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

Question 12

A metallurgist has an alloy with 12% titanium and an alloy with 44% titanium. He needs 100 grams of an alloy with 20% titanium. How much of each alloy should be mixed to obtain the 100 grams of alloy with 20% titanium?

Accepted Answer

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

Question 13

Use an algebraic method to determine for which, if any, system {-3 , 2} is a solution.

Accepted Answer

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

Question 14

Graph the system of linear inequalities. Label the solution region.
-

Accepted Answer

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

Question 15

Use an algebraic method to determine for which, if any, system {-2 , -4} is a solution.

Accepted Answer

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

Question 16

Solve the system of equations  By graphing.

Accepted Answer

A)  {4 , -4} 
B)  {   } 
C)  {0 , 1} 
D)  infinitely many solutions 
E)  no solution 
A)  {4 , -4} 
B)  {   } 
C)  {0 , 1} 
D)  infinitely many solutions 
E)  no solution

Question 17

Use constant multiples of only the top equation to eliminate the variable x from the system of equations. Which system of two equations results?

Accepted Answer

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

Question 18

The graph represents a system of inequalities. Estimate the vertices.

Accepted Answer

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

Question 19

Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.
-

Accepted Answer

A)  (0, 20) 
B)  (0, 0) 
C)  (2, 0) 
D)  infinitely many solutions 
E)  no solution 
A)  (0, 20) 
B)  (0, 0) 
C)  (2, 0) 
D)  infinitely many solutions 
E)  no solution

Question 20

Solve the system of equations by substitution.
-

Accepted Answer

A)  {35 ,35 } 
B)  {0 ,   } 
C)  {   , 0} 
D)  infinitely many solutions 
E)  no solution 
A)  {35 ,35 } 
B)  {0 ,   } 
C)  {   , 0} 
D)  infinitely many solutions 
E)  no solution

Use constant multiples of only the top equation to eliminate the variable z from the system of equations. Which system of two equations results?

Use constant multiples of only the top equation to eliminate the variable y from the system of equations. Which system of two equations results?

Solve the system using any method. -

Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form. -

Use an algebraic method to determine for which, if any, system {6 , -2} is a solution.

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

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

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

Use the system of inequalities. -Graph the system of inequalities.

A metallurgist has an alloy with 12% titanium and an alloy with 44% titanium. He needs 100 grams of an alloy with 20% titanium. How much of each alloy should be mixed to obtain the 100 grams of alloy with 20% titanium?

Use an algebraic method to determine for which, if any, system {-3 , 2} is a solution.

Graph the system of linear inequalities. Label the solution region. -

Use an algebraic method to determine for which, if any, system {-2 , -4} is a solution.

Solve the system of equations By graphing.

Use constant multiples of only the top equation to eliminate the variable x from the system of equations. Which system of two equations results?

The graph represents a system of inequalities. Estimate the vertices.

Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form. -

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

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Exam 4: Systems of Linear Equations

Use constant multiples of only the top equation to eliminate the variable z from the system of equations. Which system of two equations results?

Use constant multiples of only the top equation to eliminate the variable y from the system of equations. Which system of two equations results?

Solve the system using any method. -

Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form. -

Use an algebraic method to determine for which, if any, system {6 , -2} is a solution.

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

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

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

Use the system of inequalities. -Graph the system of inequalities.

A metallurgist has an alloy with 12% titanium and an alloy with 44% titanium. He needs 100 grams of an alloy with 20% titanium. How much of each alloy should be mixed to obtain the 100 grams of alloy with 20% titanium?

Use an algebraic method to determine for which, if any, system {-3 , 2} is a solution.

Graph the system of linear inequalities. Label the solution region. -

Use an algebraic method to determine for which, if any, system {-2 , -4} is a solution.

Solve the system of equations By graphing.

Use constant multiples of only the top equation to eliminate the variable x from the system of equations. Which system of two equations results?

The graph represents a system of inequalities. Estimate the vertices.

Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form. -

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