Question 1

Solve the system by elimination.
-9x - 37 = 7y
-6x + 2y = -38

Accepted Answer

A)  {( 7, 6)} 
B)  {( 8, 5)} 
C)  {(x, y)| -6x + 2y = -38} 
D)    
A)  {( 7, 6)} 
B)  {( 8, 5)} 
C)  {(x, y)| -6x + 2y = -38} 
D)

Question 2

Find the equations of the system shown on the graphing calculator screen.
-

Accepted Answer

A)  x + y = 1x - 3y = -9 
B)  y = 2x - 1y = 0.3x - 5.9 
C)  y = 2x + 1y = -0.3x - 5.9 
D)  y = 0.4x - 4.6y = -0.3x - 5.9 
A)  x + y = 1x - 3y = -9 
B)  y = 2x - 1y = 0.3x - 5.9 
C)  y = 2x + 1y = -0.3x - 5.9 
D)  y = 0.4x - 4.6y = -0.3x - 5.9

Question 3

Solve the problem.
-A company manufactures three products. The graph shows the production from 1986 to 1996. What was the level of production when the production of C equaled the production of A?

Accepted Answer

A)  800,000 
B)  500,000 
C)  600,000 
D)  400,000 
A)  800,000 
B)  500,000 
C)  600,000 
D)  400,000

Question 4

Solve the problem by using a system of equations.
-The distance between city A and city B is 250 mi more than the distance between city C and city D. Together, the two distances total 1500 mi. How far is it between city A and city B? How far is it between city C and city D?

Accepted Answer

A)  City A and B: 875 mi; City C and D: 625 mi 
B)  City A and B: 875 mi; City C and D: 750 mi 
C)  City A and B: 750mi; City C and D: 625 mi 
D)  City A and B: 1500 mi; City C and D: 1250 mi 
A)  City A and B: 875 mi; City C and D: 625 mi 
B)  City A and B: 875 mi; City C and D: 750 mi 
C)  City A and B: 750mi; City C and D: 625 mi 
D)  City A and B: 1500 mi; City C and D: 1250 mi

Question 5

Does the system have one solution, no solution, or an infinite number of solutions?
-2x + 3y = 6
4x + 6y = 12

Accepted Answer

A)  No Solution 
B)  Infinite number 
C)  One 
A)  No Solution 
B)  Infinite number 
C)  One

Question 6

Solve the system by elimination.
-6x + 4y = 5
18x + 12y = -15

Accepted Answer

A)    
B)  {(x, y)| 6x + 4y = 5} 
C)  {( 30, 20)} 
D)  {( -30, -20)} 
A)    
B)  {(x, y)| 6x + 4y = 5} 
C)  {( 30, 20)} 
D)  {( -30, -20)}

Question 7

Write a system of equations for the problem, and then solve the system.
-x units of a product cost C dollars to manufacture and earn a revenue of R dollars. Suppose that ?   , R = 7.60x, and no more than 10 units can be sold. Find the break-even quantity and decide whether the product should be produced on the basis of whether it will earn a profit.

Accepted Answer

A)  15 units; Do not produce: the product will lead to a loss 
B)  56 units; Do not produce: the product will lead to a loss 
C)  9 units; Produce: the product will lead to a loss 
D)  15 units; Produce: the product will earn profit 
A)  15 units; Do not produce: the product will lead to a loss 
B)  56 units; Do not produce: the product will lead to a loss 
C)  9 units; Produce: the product will lead to a loss 
D)  15 units; Produce: the product will earn profit

Question 8

Choose the one alternative that best completes the statement or answers the question.
Solve by the substitution method.
--7x + 99 = 6y
3x - 2y = 15

Accepted Answer

A)  {( 9, 6)} 
B)  {( 8, 7)} 
C)  {(x, y)| 3x - 2y = 15} 
D)    
A)  {( 9, 6)} 
B)  {( 8, 7)} 
C)  {(x, y)| 3x - 2y = 15} 
D)

Question 9

Clear fractions then solve by substitution.
-  x +   y= 5
X - y = 6

Accepted Answer

A)  {( 7, 3)} 
B)  {( 8, 2)} 
C)  {( -8, 3)} 
D)    
A)  {( 7, 3)} 
B)  {( 8, 2)} 
C)  {( -8, 3)} 
D)

Question 10

Solve the problem.
-A company manufactures three products. The graph shows the production from 1986 to 1996. In what year did the production of B equal the production of C?

Accepted Answer

A)  1990 
B)  1996 
C)  850,000 
D)  800,000 
A)  1990 
B)  1996 
C)  850,000 
D)  800,000

Question 11

Graph the solution of the system.
-2x + y  1

Accepted Answer

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

Question 12

Does the system have one solution, no solution, or an infinite number of solutions?
-2x - y = 5
-4x + 2y = -18

Accepted Answer

A)  One 
B)  No Solution 
C)  Infinite number 
A)  One 
B)  No Solution 
C)  Infinite number

Question 13

Choose the one alternative that best completes the statement or answers the question.
Solve the system by the elimination method.
--6x + 6y = 54
4x + 3y = 27

Accepted Answer

A)  {( 0, 10)} 
B)  {( 0, 9)} 
C)  {( -1, 10)} 
D)    
A)  {( 0, 10)} 
B)  {( 0, 9)} 
C)  {( -1, 10)} 
D)

Question 14

Clear fractions then solve by substitution.
-  -   =  
  +   =

Accepted Answer

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

Question 15

Choose the one alternative that best completes the statement or answers the question.
Choose the correct response.
-If an animal runs for x hours at 5 mph, how many miles does this animal cover?

Accepted Answer

A)    miles 
B)  5x miles 
C)    miles 
D)  5 + x miles 
A)    miles 
B)  5x miles 
C)    miles 
D)  5 + x miles

Question 16

Without graphing, tell if the system is inconsistent, the equations are dependent, or neither.
-x + 5y = 20
2x + 10y = 40

Accepted Answer

A)  Neither 
B)  Inconsistent 
C)  Dependent 
A)  Neither 
B)  Inconsistent 
C)  Dependent

Question 17

Find the equations of the system shown on the graphing calculator screen.
-

Accepted Answer

A)  y = 2x + 1y = -0.3x - 5.9 
B)  3x - y = 95x + y = 7 
C)  y = 0.4x - 4.6y = 2x - 11 
D)  x + y = 1x - 3y = -9 
A)  y = 2x + 1y = -0.3x - 5.9 
B)  3x - y = 95x + y = 7 
C)  y = 0.4x - 4.6y = 2x - 11 
D)  x + y = 1x - 3y = -9

Question 18

Write a system of equations for the problem, and then solve the system.
-The manager of a candy shop sells chocolate covered nuts for $7 per pound and chocolate covered raisins for $11 per pound. The manager wishes to make a 200-pound   mixture that will sell for $8 per pound. How many pounds of each should be used?

Accepted Answer

A)  Nuts: 125 lb; raisins: 75 lb 
B)  Nuts: 150 lb; raisins: 50 lb 
C)  Nuts: 100 lb; raisins: 100 lb 
D)  Nuts: 50 lb; raisins: 150 lb 
A)  Nuts: 125 lb; raisins: 75 lb 
B)  Nuts: 150 lb; raisins: 50 lb 
C)  Nuts: 100 lb; raisins: 100 lb 
D)  Nuts: 50 lb; raisins: 150 lb

Question 19

Decide if the graph of the system is a pair of parallel lines, intersecting lines, or one line.
-x + 5y = 36
2x + 10y = 78

Accepted Answer

A)  Intersecting 
B)  One Line 
C)  Parallel 
A)  Intersecting 
B)  One Line 
C)  Parallel

Question 20

Without graphing, tell if the system is inconsistent, the equations are dependent, or neither.
-x + 4y = 24
6x - 3y = 9

Accepted Answer

A)  Inconsistent 
B)  Dependent 
C)  Neither 
A)  Inconsistent 
B)  Dependent 
C)  Neither

Solve the system by elimination. -9x - 37 = 7y -6x + 2y = -38

Find the equations of the system shown on the graphing calculator screen. -

Solve the problem. -A company manufactures three products. The graph shows the production from 1986 to 1996. What was the level of production when the production of C equaled the production of A?

Solve the problem by using a system of equations. -The distance between city A and city B is 250 mi more than the distance between city C and city D. Together, the two distances total 1500 mi. How far is it between city A and city B? How far is it between city C and city D?

Does the system have one solution, no solution, or an infinite number of solutions? -2x + 3y = 6 4x + 6y = 12

Solve the system by elimination. -6x + 4y = 5 18x + 12y = -15

Choose the one alternative that best completes the statement or answers the question. Solve by the substitution method. --7x + 99 = 6y 3x - 2y = 15

Clear fractions then solve by substitution. - $Clear fractions then solve by substitution. - x + y= 5 X - y = 6$ x + $Clear fractions then solve by substitution. - x + y= 5 X - y = 6$ y= 5 X - y = 6

Solve the problem. -A company manufactures three products. The graph shows the production from 1986 to 1996. In what year did the production of B equal the production of C?

Graph the solution of the system. -2x + y < 6 2x + y > 1

Does the system have one solution, no solution, or an infinite number of solutions? -2x - y = 5 -4x + 2y = -18

Choose the one alternative that best completes the statement or answers the question. Solve the system by the elimination method. --6x + 6y = 54 4x + 3y = 27

Choose the one alternative that best completes the statement or answers the question. Choose the correct response. -If an animal runs for x hours at 5 mph, how many miles does this animal cover?

Without graphing, tell if the system is inconsistent, the equations are dependent, or neither. -x + 5y = 20 2x + 10y = 40

Find the equations of the system shown on the graphing calculator screen. -

Decide if the graph of the system is a pair of parallel lines, intersecting lines, or one line. -x + 5y = 36 2x + 10y = 78

Without graphing, tell if the system is inconsistent, the equations are dependent, or neither. -x + 4y = 24 6x - 3y = 9

The Real Number System

Linear Equations and Inequalities in One Variable

Linear Equations and Inequalities in Two Variables; Functions

Systems of Linear Equations and Inequalities

Factoring and Applications

Rational Expressions and Applications

Roots and Radicals

Quadratic Equations

Preparing for Your Math Final

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Exam 5: Exponents and Polynomials

Solve the system by elimination. -9x - 37 = 7y -6x + 2y = -38

Find the equations of the system shown on the graphing calculator screen. -

Solve the problem. -A company manufactures three products. The graph shows the production from 1986 to 1996. What was the level of production when the production of C equaled the production of A?

Solve the problem by using a system of equations. -The distance between city A and city B is 250 mi more than the distance between city C and city D. Together, the two distances total 1500 mi. How far is it between city A and city B? How far is it between city C and city D?

Does the system have one solution, no solution, or an infinite number of solutions? -2x + 3y = 6 4x + 6y = 12

Solve the system by elimination. -6x + 4y = 5 18x + 12y = -15

Choose the one alternative that best completes the statement or answers the question. Solve by the substitution method. --7x + 99 = 6y 3x - 2y = 15

Clear fractions then solve by substitution. - x + y= 5 X - y = 6

Solve the problem. -A company manufactures three products. The graph shows the production from 1986 to 1996. In what year did the production of B equal the production of C?

Graph the solution of the system. -2x + y < 6 2x + y > 1

Does the system have one solution, no solution, or an infinite number of solutions? -2x - y = 5 -4x + 2y = -18

Choose the one alternative that best completes the statement or answers the question. Solve the system by the elimination method. --6x + 6y = 54 4x + 3y = 27

Clear fractions then solve by substitution. - - = + =

Choose the one alternative that best completes the statement or answers the question. Choose the correct response. -If an animal runs for x hours at 5 mph, how many miles does this animal cover?

Without graphing, tell if the system is inconsistent, the equations are dependent, or neither. -x + 5y = 20 2x + 10y = 40

Find the equations of the system shown on the graphing calculator screen. -

Decide if the graph of the system is a pair of parallel lines, intersecting lines, or one line. -x + 5y = 36 2x + 10y = 78

Without graphing, tell if the system is inconsistent, the equations are dependent, or neither. -x + 4y = 24 6x - 3y = 9

The Real Number System

Linear Equations and Inequalities in One Variable

Linear Equations and Inequalities in Two Variables; Functions

Systems of Linear Equations and Inequalities

Factoring and Applications

Rational Expressions and Applications

Roots and Radicals

Quadratic Equations

Preparing for Your Math Final

Filters

Clear fractions then solve by substitution. - $Clear fractions then solve by substitution. - x + y= 5 X - y = 6$ x + $Clear fractions then solve by substitution. - x + y= 5 X - y = 6$ y= 5 X - y = 6