Question 1

Represent the system of equations with an augmented matrix:

Accepted Answer

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

Question 2

The cost to make a product is   . The fixed cost per month to make the product is   . For  Products, a model for the cost per month is
 y = {   }x+$4464. The price for each product is  ) A model for the total revenue   from the sale of   products is y = {   }x. Use the graph of the system to find the break-even point and describe the costs and revenue at the break-even point. Assume that the company will sell all the products.

Accepted Answer

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

Question 3

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 4

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

Accepted Answer

A)  (4, -1) 
B)  (-5, 1) 
C)  ( -4, 1) 
D)  infinitely many solutions 
E)  no solution 
A)  (4, -1) 
B)  (-5, 1) 
C)  ( -4, 1) 
D)  infinitely many solutions 
E)  no solution

Question 5

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 6

A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month.
-Find the number of grills that must be sold each month to break even.

Accepted Answer

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

Question 7

Use the system of inequalities.  
-Use an algebraic method to find the vertices.

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, if any, of the ordered pairs is a solution to the system of inequalities.

Accepted Answer

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

Question 9

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 10

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, -4, 1) 
B)  (-3, 4, 10 
C)    
D)  infinitely many solutions 
E)  no solution 
A)  (3, -4, 1) 
B)  (-3, 4, 10 
C)    
D)  infinitely many solutions 
E)  no solution

Question 11

Sean is shifting his debt on his credit cards. He wants 4 times as much on his Visa card as on his Mastercard. Find the amount of debt he should have on each card.

Accepted Answer

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

Question 12

Represent the system of equations with an augmented matrix:

Accepted Answer

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

Question 13

Solve the system  By graphing.

Accepted Answer

A)  {5, -3} 
B)  {3 , -5} 
C)  {-5 , 3} 
D)  infinitely many solutions 
E)  no solution 
A)  {5, -3} 
B)  {3 , -5} 
C)  {-5 , 3} 
D)  infinitely many solutions 
E)  no solution

Question 14

Use elimination to solve the system of equations.
-

Accepted Answer

A)  {0 ,3} 
B)  {-12 ,3} 
C)  {0 ,-3} 
D)  infinitely many solutions 
E)  no solution 
A)  {0 ,3} 
B)  {-12 ,3} 
C)  {0 ,-3} 
D)  infinitely many solutions 
E)  no solution

Question 15

Two blends will be used to make ice cream that contains 10% milkfat. Blend A contains 6% milkfat and blend B contains 13% milkfat. How much of each blend should be used to make 2000 gallons of ice cream that contains 10% milkfat?

Accepted Answer

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

Question 16

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

Accepted Answer

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

Question 17

Use row operations to change the first entry in the second row to 0. Rewrite the matrix.

Accepted Answer

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

Question 18

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 19

A model of the cost to make a product is y= {   }x+$60,000. What does the   -intercept and the slope of this line represent?

Accepted Answer

A)  fixed cost per month; cost to make each product 
B)  cost to make 75 products; fixed cost per month 
C)  cost to make each product; fixed cost per month 
D)  fixed cost per month; cost to make 75 products 
E)  none of these 
A)  fixed cost per month; cost to make each product 
B)  cost to make 75 products; fixed cost per month 
C)  cost to make each product; fixed cost per month 
D)  fixed cost per month; cost to make 75 products 
E)  none of these

Question 20

Students are having a bake sale to raise funds for the school band. They collect $19.00 for selling 2 pies, 1 cake, and 3 cinnamon rolls. They collect $11.50 for selling 1 cake and 4 cinnamon rolls. They collect $17.50 for selling 1 pie, 1 cake and 5 cinnamon rolls. Find the price for each item.

Accepted Answer

A)  $4.00 per pie$3.50 per cake$2.00 per cinnamon roll 
B)  $4.50 per pie$5.50 per cake$1.50 per cinnamon roll 
C)  $5.50 per pie$4.50 per cake$1.50 per cinnamon roll 
D)  $4.25 per pie$7.50 per cake$1.00 per cinnamon roll 
E)  none of these 
A)  $4.00 per pie$3.50 per cake$2.00 per cinnamon roll 
B)  $4.50 per pie$5.50 per cake$1.50 per cinnamon roll 
C)  $5.50 per pie$4.50 per cake$1.50 per cinnamon roll 
D)  $4.25 per pie$7.50 per cake$1.00 per cinnamon roll 
E)  none of these

Represent the system of equations with an augmented matrix:

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

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 using elimination, if possible, and express the solution as an ordered triple. -

A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month. -Find the number of grills that must be sold each month to break even.

Use the system of inequalities. -Use an algebraic method to find the vertices.

Use an algebraic method to determine which, if any, of the ordered pairs is a solution to the system of inequalities.

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

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

Sean is shifting his debt on his credit cards. He wants 4 times as much on his Visa card as on his Mastercard. Find the amount of debt he should have on each card.

Represent the system of equations with an augmented matrix:

Solve the system By graphing.

Use elimination to solve the system of equations. -

Two blends will be used to make ice cream that contains 10% milkfat. Blend A contains 6% milkfat and blend B contains 13% milkfat. How much of each blend should be used to make 2000 gallons of ice cream that contains 10% milkfat?

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

Use row operations to change the first entry in the second row to 0. Rewrite the matrix.

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

A model of the cost to make a product is y= { }x+$60,000. What does the -intercept and the slope of this line represent?

Students are having a bake sale to raise funds for the school band. They collect $19.00 for selling 2 pies, 1 cake, and 3 cinnamon rolls. They collect $11.50 for selling 1 cake and 4 cinnamon rolls. They collect $17.50 for selling 1 pie, 1 cake and 5 cinnamon rolls. Find the price for each item.

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

Represent the system of equations with an augmented matrix:

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

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 using elimination, if possible, and express the solution as an ordered triple. -

A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month. -Find the number of grills that must be sold each month to break even.

Use the system of inequalities. -Use an algebraic method to find the vertices.

Use an algebraic method to determine which, if any, of the ordered pairs is a solution to the system of inequalities.

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

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

Sean is shifting his debt on his credit cards. He wants 4 times as much on his Visa card as on his Mastercard. Find the amount of debt he should have on each card.

Represent the system of equations with an augmented matrix:

Solve the system By graphing.

Use elimination to solve the system of equations. -

Two blends will be used to make ice cream that contains 10% milkfat. Blend A contains 6% milkfat and blend B contains 13% milkfat. How much of each blend should be used to make 2000 gallons of ice cream that contains 10% milkfat?

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

Use row operations to change the first entry in the second row to 0. Rewrite the matrix.

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

A model of the cost to make a product is y= { }x+$60,000. What does the -intercept and the slope of this line represent?

Students are having a bake sale to raise funds for the school band. They collect $19.00 for selling 2 pies, 1 cake, and 3 cinnamon rolls. They collect $11.50 for selling 1 cake and 4 cinnamon rolls. They collect $17.50 for selling 1 pie, 1 cake and 5 cinnamon rolls. Find the price for each item.

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