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Represent the system of equations with an augmented matrix: Represent the system of equations with an augmented matrix:   A)    B)    C)    D)    E)  none of these


A) Represent the system of equations with an augmented matrix:   A)    B)    C)    D)    E)  none of these
B) Represent the system of equations with an augmented matrix:   A)    B)    C)    D)    E)  none of these
C) Represent the system of equations with an augmented matrix:   A)    B)    C)    D)    E)  none of these
D) Represent the system of equations with an augmented matrix:   A)    B)    C)    D)    E)  none of these
E) none of these

F) B) and E)
G) None of the above

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The cost to make a product is 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. A)    B)    C)    D)    E)  none of these . The fixed cost per month to make the product is 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. A)    B)    C)    D)    E)  none of these . For 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. A)    B)    C)    D)    E)  none of theseProducts, a model for the cost per month is y = { 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. A)    B)    C)    D)    E)  none of these }x+$4464. The price for each product is 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. A)    B)    C)    D)    E)  none of these) A model for the total revenue 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. A)    B)    C)    D)    E)  none of these from the sale of 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. A)    B)    C)    D)    E)  none of these products is y = { 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. A)    B)    C)    D)    E)  none of these }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.


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

F) None of the above
G) All of the above

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Solve the system Solve the system  By graphing. A)  {5, -3} B)  {3 , -5} C)  {-5 , 3} D)  infinitely many solutions E)  no solutionBy graphing.


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

F) A) and C)
G) D) and E)

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


A) Solve the system of equations using elimination, if possible, and express the solution as an ordered triple. -  A)    B)    C)    D)  infinitely many solutions E)  no solution
B) Solve the system of equations using elimination, if possible, and express the solution as an ordered triple. -  A)    B)    C)    D)  infinitely many solutions E)  no solution
C) Solve the system of equations using elimination, if possible, and express the solution as an ordered triple. -  A)    B)    C)    D)  infinitely many solutions E)  no solution
D) infinitely many solutions
E) no solution

F) All of the above
G) A) and C)

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


A) Solve the system of equations using elimination, if possible, and express the solution as an ordered triple. -  A)    B)    C)    D)  infinitely many solutions E)  no solution
B) Solve the system of equations using elimination, if possible, and express the solution as an ordered triple. -  A)    B)    C)    D)  infinitely many solutions E)  no solution
C) Solve the system of equations using elimination, if possible, and express the solution as an ordered triple. -  A)    B)    C)    D)  infinitely many solutions E)  no solution
D) infinitely many solutions
E) no solution

F) A) and B)
G) A) and C)

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Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form. -Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form. -  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) Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form. -  A)  (3, -4, 1)  B)  (-3, 4, 10 C)    D)  infinitely many solutions E)  no solution
D) infinitely many solutions
E) no solution

F) A) and C)
G) A) and D)

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Use the system of inequalities. Use the system of inequalities.   -Use an algebraic method to find the vertices. A)    B)    C)    D)    E)  none of these -Use an algebraic method to find the vertices.


A) Use the system of inequalities.   -Use an algebraic method to find the vertices. A)    B)    C)    D)    E)  none of these
B) Use the system of inequalities.   -Use an algebraic method to find the vertices. A)    B)    C)    D)    E)  none of these
C) Use the system of inequalities.   -Use an algebraic method to find the vertices. A)    B)    C)    D)    E)  none of these
D) Use the system of inequalities.   -Use an algebraic method to find the vertices. A)    B)    C)    D)    E)  none of these
E) none of these

F) B) and D)
G) B) and E)

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Represent the system of equations with an augmented matrix: Represent the system of equations with an augmented matrix:   A)    B)    C)    D)    E)  none of these


A) Represent the system of equations with an augmented matrix:   A)    B)    C)    D)    E)  none of these
B) Represent the system of equations with an augmented matrix:   A)    B)    C)    D)    E)  none of these
C) Represent the system of equations with an augmented matrix:   A)    B)    C)    D)    E)  none of these
D) Represent the system of equations with an augmented matrix:   A)    B)    C)    D)    E)  none of these
E) none of these

F) A) and E)
G) A) and B)

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Use row operations to change the first entry in the second row to 0. Rewrite the matrix. Use row operations to change the first entry in the second row to 0. Rewrite the matrix.   A)    B)    C)    D)    E)  none of these


A) Use row operations to change the first entry in the second row to 0. Rewrite the matrix.   A)    B)    C)    D)    E)  none of these
B) Use row operations to change the first entry in the second row to 0. Rewrite the matrix.   A)    B)    C)    D)    E)  none of these
C) Use row operations to change the first entry in the second row to 0. Rewrite the matrix.   A)    B)    C)    D)    E)  none of these
D) Use row operations to change the first entry in the second row to 0. Rewrite the matrix.   A)    B)    C)    D)    E)  none of these
E) none of these

F) A) and D)
G) B) and C)

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Use elimination to solve the system of equations. -Use elimination to solve the system of equations. -  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

F) C) and D)
G) A) and B)

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


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

F) A) and B)
G) A) and C)

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Graph the system of linear inequalities. Label the solution region. -Graph the system of linear inequalities. Label the solution region. -  A)    B)    C)    D)    E)  none of these


A) Graph the system of linear inequalities. Label the solution region. -  A)    B)    C)    D)    E)  none of these
B) Graph the system of linear inequalities. Label the solution region. -  A)    B)    C)    D)    E)  none of these
C) Graph the system of linear inequalities. Label the solution region. -  A)    B)    C)    D)    E)  none of these
D) Graph the system of linear inequalities. Label the solution region. -  A)    B)    C)    D)    E)  none of these
E) none of these

F) A) and C)
G) A) and B)

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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.


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

F) All of the above
G) A) and B)

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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.


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

F) B) and C)
G) A) and E)

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


A) Solve the system of equations using elimination, if possible, and express the solution as an ordered triple. -  A)    B)    C)    D)  infinitely many solutions E)  no solution
B) Solve the system of equations using elimination, if possible, and express the solution as an ordered triple. -  A)    B)    C)    D)  infinitely many solutions E)  no solution
C) Solve the system of equations using elimination, if possible, and express the solution as an ordered triple. -  A)    B)    C)    D)  infinitely many solutions E)  no solution
D) infinitely many solutions
E) no solution

F) All of the above
G) A) and D)

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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.


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

F) A) and B)
G) C) and D)

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

F) A) and B)
G) C) and D)

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The graph represents a system of linear inequalities. Estimate the vertices. The graph represents a system of linear inequalities. Estimate the vertices.   A)    B)    C)    D)    E)  none of these


A) The graph represents a system of linear inequalities. Estimate the vertices.   A)    B)    C)    D)    E)  none of these
B) The graph represents a system of linear inequalities. Estimate the vertices.   A)    B)    C)    D)    E)  none of these
C) The graph represents a system of linear inequalities. Estimate the vertices.   A)    B)    C)    D)    E)  none of these
D) The graph represents a system of linear inequalities. Estimate the vertices.   A)    B)    C)    D)    E)  none of these
E) none of these

F) A) and E)
G) A) and C)

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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?


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

F) B) and D)
G) B) and C)

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Use an algebraic method to determine which, if any, of the ordered pairs is a solution to the system of inequalities. Use an algebraic method to determine which, if any, of the ordered pairs is a solution to the system of inequalities.   A)    B)    C)    D)    E)  none of these


A) Use an algebraic method to determine which, if any, of the ordered pairs is a solution to the system of inequalities.   A)    B)    C)    D)    E)  none of these
B) Use an algebraic method to determine which, if any, of the ordered pairs is a solution to the system of inequalities.   A)    B)    C)    D)    E)  none of these
C) Use an algebraic method to determine which, if any, of the ordered pairs is a solution to the system of inequalities.   A)    B)    C)    D)    E)  none of these
D) Use an algebraic method to determine which, if any, of the ordered pairs is a solution to the system of inequalities.   A)    B)    C)    D)    E)  none of these
E) none of these

F) A) and E)
G) B) and C)

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