Question 1

Solve the system by graphing.
-9x + y = 26
9x + y = 89

Accepted Answer

A)  {(0, 0)} 
B)  {( 9, 8)} 
C)  {(x, y)| 9x + y = 26} 
D)    
A)  {(0, 0)} 
B)  {( 9, 8)} 
C)  {(x, y)| 9x + y = 26} 
D)

Question 2

Provide an appropriate response.
-Solving for which variable in which equation involves the least amount of work?
7x - 5y = 19
-12x - 6y = -120

Accepted Answer

A)  y in equation 1 
B)  x in equation 2 
C)  y in equation 2 
D)  x in equation 1 
A)  y in equation 1 
B)  x in equation 2 
C)  y in equation 2 
D)  x in equation 1

Question 3

Graph the solution of the system.
-X + 4y > 4
5x - 7y $\ge$ -7

Accepted Answer

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

Question 4

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

Accepted Answer

A)  5x + y = 202x - y = 1 
B)  y = 2x + 1y = -0.3x - 5.9 
C)  x + 4y = 22x - 2y = -8 
D)  x + y = 1x - 3y = -9 
A)  5x + y = 202x - y = 1 
B)  y = 2x + 1y = -0.3x - 5.9 
C)  x + 4y = 22x - 2y = -8 
D)  x + y = 1x - 3y = -9

Question 5

The graphing calculator screens show a system and the point of intersection. Choose the screen which best represents the given system.
-Y = 2x - 9
Y = -2x + 3

Accepted Answer

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

Question 6

Decide if the graph of the system is a pair of parallel lines, intersecting lines, or one line.
-x + 3y = 11
2x + 6y = 22

Accepted Answer

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

Question 7

Choose the one alternative that best completes the statement or answers the question.
Solve by the substitution method.
-8x + 4y = -12
-5x - 2y = 9

Accepted Answer

A)  {( -3, 3)} 
B)  {( -3, 4)} 
C)  {( -4, 4)} 
D)    
A)  {( -3, 3)} 
B)  {( -3, 4)} 
C)  {( -4, 4)} 
D)

Question 8

Without graphing, tell if the system is inconsistent, the equations are dependent, or neither.
-x + y = -6
X - y = 10

Accepted Answer

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

Question 9

The graphing calculator screens show a system and the point of intersection. Choose the screen which best represents the given system.
-2x - y = 0
3x + y = 0

Accepted Answer

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

Question 10

Select the system of inequalities that matches the given graph.
-

Accepted Answer

A)  y $\ge$ xy $\ge$ -2x + 2 
B)  y $\ge$ xy $\le$ -2x + 2 
C)  y$\le$ xy $\ge$ -2x + 2 
D)  y $\le$ xy $\le$ -2x + 2 
A)  y $\ge$ xy $\ge$ -2x + 2 
B)  y $\ge$ xy $\le$ -2x + 2 
C)  y$\le$ xy $\ge$ -2x + 2 
D)  y $\le$ xy $\le$ -2x + 2

Question 11

Use a graphing calculator to solve the system.
-2x + y = 0
X + 5y = -9

Accepted Answer

A)  {( 1, 0)} 
B)  {( -1, -2)} 
C)  {( -1, 2)} 
D)  {( 1, -2)} 
A)  {( 1, 0)} 
B)  {( -1, -2)} 
C)  {( -1, 2)} 
D)  {( 1, -2)}

Question 12

Solve the problem by using a system of equations.
-Two cars leave from a city at the same time and travel in the same direction. One car travels one-third and one-third times as fast as the other. After 5 hr, they are 300 mi apart. What are the speeds of the cars?

Accepted Answer

A)  Slower car: 40 mph; faster car: 100 mph 
B)  Slower car: 50 mph; faster car: 110 mph 
C)  Slower car: 45 mph; faster car: 105 mph 
D)  Slower car: 35 mph; faster car: 95 mph 
A)  Slower car: 40 mph; faster car: 100 mph 
B)  Slower car: 50 mph; faster car: 110 mph 
C)  Slower car: 45 mph; faster car: 105 mph 
D)  Slower car: 35 mph; faster car: 95 mph

Question 13

Write a system of equations for the problem, and then solve the system.
-Two different gasohol mixtures are available. One contains 5% alcohol and the other 12% alcohol. How much of each should be mixed to obtain 1500 gallons of gasohol containing 10% alcohol?

Accepted Answer

A)  75 gal 5%, 180 gal 12% 
B)  1071 gal 5%, 1071 gal 12% 
C)  429 gal 5%, 1071 gal 12% 
D)  625 gal 5%, 875 gal 12% 
A)  75 gal 5%, 180 gal 12% 
B)  1071 gal 5%, 1071 gal 12% 
C)  429 gal 5%, 1071 gal 12% 
D)  625 gal 5%, 875 gal 12%

Question 14

Graph the solution of the system.
-2x + 3y $\ge$ 6
X - y $\ge$ 3
Y $\le$ 2

Accepted Answer

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

Question 15

Does the system have one solution, no solution, or an infinite number of solutions?
-x - 8 = y
Y + 9 = x

Accepted Answer

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

Question 16

The graphing calculator screens show a system and the point of intersection. Choose the screen which best represents the given system.
-X = 3
2x + y = 3

Accepted Answer

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

Question 17

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

Accepted Answer

A)  5x + y = 7x + 2y = -1 
B)  3x - y = 95x + y = 7 
C)  x + y = 1x - 3y = -9 
D)  4x - y = -163x + y = -5 
A)  5x + y = 7x + 2y = -1 
B)  3x - y = 95x + y = 7 
C)  x + y = 1x - 3y = -9 
D)  4x - y = -163x + y = -5

Question 18

The graphing calculator screens show a system and the point of intersection. Choose the screen which best represents the given system.
-Y = 2x + 3
4x + 3y = -6

Accepted Answer

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

Question 19

Write the word or phrase that best completes each statement or answers the question.
-Write a system of equations that would be more easily solved using the elimination method than the substitution method. Explain why elimination would be easier than substitution.

Accepted Answer

Answers may vary.5x + 3y = -1,

Question 20

Choose the one alternative that best completes the statement or answers the question.
Solve the system by the elimination method.
--7x - 52 = 9y
2x - 7y = 33

Accepted Answer

A)  {( -1, -5)} 
B)  {( -1, -4)} 
C)  {( -2, -4)} 
D)    
A)  {( -1, -5)} 
B)  {( -1, -4)} 
C)  {( -2, -4)} 
D)

Solve the system by graphing. -9x + y = 26 9x + y = 89

Provide an appropriate response. -Solving for which variable in which equation involves the least amount of work? 7x - 5y = 19 -12x - 6y = -120

Graph the solution of the system. -X + 4y > 4 5x - 7y $\ge$ -7 $Graph the solution of the system. -X + 4y > 4 5x - 7y \ge -7$

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

The graphing calculator screens show a system and the point of intersection. Choose the screen which best represents the given system. -Y = 2x - 9 Y = -2x + 3

Decide if the graph of the system is a pair of parallel lines, intersecting lines, or one line. -x + 3y = 11 2x + 6y = 22

Choose the one alternative that best completes the statement or answers the question. Solve by the substitution method. -8x + 4y = -12 -5x - 2y = 9

Without graphing, tell if the system is inconsistent, the equations are dependent, or neither. -x + y = -6 X - y = 10

The graphing calculator screens show a system and the point of intersection. Choose the screen which best represents the given system. -2x - y = 0 3x + y = 0

Select the system of inequalities that matches the given graph. -

Use a graphing calculator to solve the system. -2x + y = 0 X + 5y = -9

Solve the problem by using a system of equations. -Two cars leave from a city at the same time and travel in the same direction. One car travels one-third and one-third times as fast as the other. After 5 hr, they are 300 mi apart. What are the speeds of the cars?

Write a system of equations for the problem, and then solve the system. -Two different gasohol mixtures are available. One contains 5% alcohol and the other 12% alcohol. How much of each should be mixed to obtain 1500 gallons of gasohol containing 10% alcohol?

Graph the solution of the system. -2x + 3y $\ge$ 6 X - y $\ge$ 3 Y $\le$ 2 $Graph the solution of the system. -2x + 3y \ge 6 X - y \ge 3 Y \le 2$

Does the system have one solution, no solution, or an infinite number of solutions? -x - 8 = y Y + 9 = x

The graphing calculator screens show a system and the point of intersection. Choose the screen which best represents the given system. -X = 3 2x + y = 3

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

The graphing calculator screens show a system and the point of intersection. Choose the screen which best represents the given system. -Y = 2x + 3 4x + 3y = -6

Write the word or phrase that best completes each statement or answers the question. -Write a system of equations that would be more easily solved using the elimination method than the substitution method. Explain why elimination would be easier than substitution.

Choose the one alternative that best completes the statement or answers the question. Solve the system by the elimination method. --7x - 52 = 9y 2x - 7y = 33

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

Exam 5: Exponents and Polynomials

Solve the system by graphing. -9x + y = 26 9x + y = 89

Provide an appropriate response. -Solving for which variable in which equation involves the least amount of work? 7x - 5y = 19 -12x - 6y = -120

Graph the solution of the system. -X + 4y > 4 5x - 7y ≥\ge≥ -7

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

The graphing calculator screens show a system and the point of intersection. Choose the screen which best represents the given system. -Y = 2x - 9 Y = -2x + 3

Decide if the graph of the system is a pair of parallel lines, intersecting lines, or one line. -x + 3y = 11 2x + 6y = 22

Choose the one alternative that best completes the statement or answers the question. Solve by the substitution method. -8x + 4y = -12 -5x - 2y = 9

Without graphing, tell if the system is inconsistent, the equations are dependent, or neither. -x + y = -6 X - y = 10

The graphing calculator screens show a system and the point of intersection. Choose the screen which best represents the given system. -2x - y = 0 3x + y = 0

Select the system of inequalities that matches the given graph. -

Use a graphing calculator to solve the system. -2x + y = 0 X + 5y = -9

Solve the problem by using a system of equations. -Two cars leave from a city at the same time and travel in the same direction. One car travels one-third and one-third times as fast as the other. After 5 hr, they are 300 mi apart. What are the speeds of the cars?

Write a system of equations for the problem, and then solve the system. -Two different gasohol mixtures are available. One contains 5% alcohol and the other 12% alcohol. How much of each should be mixed to obtain 1500 gallons of gasohol containing 10% alcohol?

Graph the solution of the system. -2x + 3y ≥\ge≥ 6 X - y ≥\ge≥ 3 Y ≤\le≤ 2

Does the system have one solution, no solution, or an infinite number of solutions? -x - 8 = y Y + 9 = x

The graphing calculator screens show a system and the point of intersection. Choose the screen which best represents the given system. -X = 3 2x + y = 3

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

The graphing calculator screens show a system and the point of intersection. Choose the screen which best represents the given system. -Y = 2x + 3 4x + 3y = -6

Write the word or phrase that best completes each statement or answers the question. -Write a system of equations that would be more easily solved using the elimination method than the substitution method. Explain why elimination would be easier than substitution.

Choose the one alternative that best completes the statement or answers the question. Solve the system by the elimination method. --7x - 52 = 9y 2x - 7y = 33

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

Graph the solution of the system. -X + 4y > 4 5x - 7y $\ge$ -7 $Graph the solution of the system. -X + 4y > 4 5x - 7y \ge -7$

Graph the solution of the system. -2x + 3y $\ge$ 6 X - y $\ge$ 3 Y $\le$ 2 $Graph the solution of the system. -2x + 3y \ge 6 X - y \ge 3 Y \le 2$