Question 1

Graph the solution of the system.
-2x + 3y $\le$ 6
X - y $\le$ 3
X $\ge$ 1

Accepted Answer

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

Question 2

Without graphing, tell if the system is inconsistent, the equations are dependent, or neither.
-12x + 4y = 20
3x + y = -5

Accepted Answer

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

Question 3

Solve the system by elimination.
-X + 5y = 18
-6x + 4y = 28

Accepted Answer

A)  {( 2, 5)} 
B)  {( -2, 4)} 
C)  {( -3, 5)} 
D)    
A)  {( 2, 5)} 
B)  {( -2, 4)} 
C)  {( -3, 5)} 
D)

Question 4

Does the system have one solution, no solution, or an infinite number of solutions?
-x - 3y = 6
3y + 1 = x

Accepted Answer

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

Question 5

Graph the solution of the system.
-X + y $\le$ 9
Y $\ge$ 3x - 3
X $\ge$ 0
Y $\ge$ -3
  )
_____

Accepted Answer

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

Question 6

Provide an appropriate response.
 
-Without actually graphing, determine which one of the following systems of inequalities has no solution.

Accepted Answer

A)  x + y $\le$ 2x - y $\ge$ 3 
B)  x$\le$2y $\ge$ 3 
C)  x > 2y 3 
A)  x + y $\le$ 2x - y $\ge$ 3 
B)  x$\le$2y $\ge$ 3 
C)  x > 2y 3

Question 7

Solve the system by graphing.
-x + 8y = 8
5x - 3y = -3

Accepted Answer

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

Question 8

Write a system of equations for the problem, and then solve the system.
-If a plane can travel 310 miles per hour with the wind and only 290 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air.

Accepted Answer

A)  Plane: 300 mph; wind: 20 mph 
B)  Plane: 400 mph; wind: 10 mph 
C)  Plane: 300 mph; wind: 10 mph 
D)  Plane: 10 mph; wind: 300 mph 
A)  Plane: 300 mph; wind: 20 mph 
B)  Plane: 400 mph; wind: 10 mph 
C)  Plane: 300 mph; wind: 10 mph 
D)  Plane: 10 mph; wind: 300 mph

Question 9

Does the system have one solution, no solution, or an infinite number of solutions?
-5x - y = 6
X + 4y = 18

Accepted Answer

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

Question 10

Write the word or phrase that best completes each statement or answers the question.
-  Why could ( -5, -7) not be a solution of the system that is graphed?

Accepted Answer

The solution cannot

Question 11

Does the system have one solution, no solution, or an infinite number of solutions?
-5x - 25y = 20
Y =   x -

Accepted Answer

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

Question 12

Choose the one alternative that best completes the statement or answers the question.
Choose the correct response.
-What is the speed of a plane that travels at a rate of 567 mph against a wind of r mph?

Accepted Answer

A)  ( 567 - r) mph 
B)  (r - 567) mph 
C)  ( 567 + r) mph 
D)    mph 
A)  ( 567 - r) mph 
B)  (r - 567) mph 
C)  ( 567 + r) mph 
D)    mph

Question 13

Solve by the substitution method.
-0.9x + 0.7y = -2.9
X - 0.2y = -4.2

Accepted Answer

A)  {( -0.4, 0.1)} 
B)  {( -4, 1)} 
C)  {( 1, -4)} 
D)    
A)  {( -0.4, 0.1)} 
B)  {( -4, 1)} 
C)  {( 1, -4)} 
D)

Question 14

Graph the solution set of the system of inequalities.
-X + y $\ge$ 4
5x - 2y $\le$ -10

Accepted Answer

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

Question 15

Indicate whether the statement is true or false.
-If one inequality in a system of two linear inequalities contains the "" symbol, the graph of the system will have solid boundary lines.

Accepted Answer

A) True 
 B)False

Question 16

Write a system of equations for the problem, and then solve the system.
-The owner of Nuts2U Snack Shack mixes cashews worth $6.25 per pound with peanuts worth $2.00 per pound to get a half-pound, mixed-nut bag worth $1.90. How much of each kind of nut is included in the mixed bag?

Accepted Answer

A)  Cashews: 0.07 lb; peanuts: 0.43 lb 
B)  Cashews: 0.10 lb; peanuts: 0.40 lb 
C)  Cashews: 0.21 lb; peanuts: 0.29 lb 
D)  Cashews: 0.29 lb; peanuts: 0.21 lb 
A)  Cashews: 0.07 lb; peanuts: 0.43 lb 
B)  Cashews: 0.10 lb; peanuts: 0.40 lb 
C)  Cashews: 0.21 lb; peanuts: 0.29 lb 
D)  Cashews: 0.29 lb; peanuts: 0.21 lb

Question 17

Provide an appropriate response.
-If the y term is missing in only one of two linear equations, the lines are_________ ?

Accepted Answer

A)  Parallel 
B)  Intersecting 
C)  One Graph 
D)  Parallel or One Graph 
A)  Parallel 
B)  Intersecting 
C)  One Graph 
D)  Parallel or One Graph

Question 18

Choose the one alternative that best completes the statement or answers the question. 
 
Decide whether or not the ordered pair is a solution of the system.
-( 3, -2)
4x = -14 - y
3x = -17 - 4y

Accepted Answer

A) True 
 B)False

Question 19

Use a graphing calculator to solve the system.
-5x + 5y = 0
2x - 2y = 10

Accepted Answer

A)  {( 2.5, -3.5)} 
B)  {( -2.5, 3.5)} 
C)  {( -1.5, 2.5)} 
D)  {( 2.5, -2.5)} 
A)  {( 2.5, -3.5)} 
B)  {( -2.5, 3.5)} 
C)  {( -1.5, 2.5)} 
D)  {( 2.5, -2.5)}

Question 20

Provide an appropriate response.
-Decide if the system has one solution, no solution, or an infinite number of solutions.
X + y = 5
X + y = 4

Accepted Answer

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

Graph the solution of the system. -2x + 3y $\le$ 6 X - y $\le$ 3 X $\ge$ 1 $Graph the solution of the system. -2x + 3y \le 6 X - y \le 3 X \ge 1$

Without graphing, tell if the system is inconsistent, the equations are dependent, or neither. -12x + 4y = 20 3x + y = -5

Solve the system by elimination. -X + 5y = 18 -6x + 4y = 28

Does the system have one solution, no solution, or an infinite number of solutions? -x - 3y = 6 3y + 1 = x

Graph the solution of the system. -X + y $\le$ 9 Y $\ge$ 3x - 3 X $\ge$ 0 Y $\ge$ -3 $Graph the solution of the system. -X + y \le 9 Y \ge 3x - 3 X \ge 0 Y \ge -3 ) _$ ) _

Provide an appropriate response. -Without actually graphing, determine which one of the following systems of inequalities has no solution.

Solve the system by graphing. -x + 8y = 8 5x - 3y = -3

Write a system of equations for the problem, and then solve the system. -If a plane can travel 310 miles per hour with the wind and only 290 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air.

Does the system have one solution, no solution, or an infinite number of solutions? -5x - y = 6 X + 4y = 18

Write the word or phrase that best completes each statement or answers the question. - Why could ( -5, -7) not be a solution of the system that is graphed?

Does the system have one solution, no solution, or an infinite number of solutions? -5x - 25y = 20 Y = x -

Choose the one alternative that best completes the statement or answers the question. Choose the correct response. -What is the speed of a plane that travels at a rate of 567 mph against a wind of r mph?

Solve by the substitution method. -0.9x + 0.7y = -2.9 X - 0.2y = -4.2

Graph the solution set of the system of inequalities. -X + y $\ge$ 4 5x - 2y $\le$ -10 $Graph the solution set of the system of inequalities. -X + y \ge 4 5x - 2y \le -10$

Indicate whether the statement is true or false. -If one inequality in a system of two linear inequalities contains the "<" symbol and the other contains the ">" symbol, the graph of the system will have solid boundary lines.

Write a system of equations for the problem, and then solve the system. -The owner of Nuts2U Snack Shack mixes cashews worth $6.25 per pound with peanuts worth $2.00 per pound to get a half-pound, mixed-nut bag worth $1.90. How much of each kind of nut is included in the mixed bag?

Provide an appropriate response. -If the y term is missing in only one of two linear equations, the lines are_________ ?

Choose the one alternative that best completes the statement or answers the question. Decide whether or not the ordered pair is a solution of the system. -( 3, -2) 4x = -14 - y 3x = -17 - 4y

Use a graphing calculator to solve the system. -5x + 5y = 0 2x - 2y = 10

Provide an appropriate response. -Decide if the system has one solution, no solution, or an infinite number of solutions. X + y = 5 X + y = 4

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

Graph the solution of the system. -2x + 3y ≤\le≤ 6 X - y ≤\le≤ 3 X ≥\ge≥ 1

Without graphing, tell if the system is inconsistent, the equations are dependent, or neither. -12x + 4y = 20 3x + y = -5

Solve the system by elimination. -X + 5y = 18 -6x + 4y = 28

Does the system have one solution, no solution, or an infinite number of solutions? -x - 3y = 6 3y + 1 = x

Graph the solution of the system. -X + y ≤\le≤ 9 Y ≥\ge≥ 3x - 3 X ≥\ge≥ 0 Y ≥\ge≥ -3 ) _____

Provide an appropriate response. -Without actually graphing, determine which one of the following systems of inequalities has no solution.

Solve the system by graphing. -x + 8y = 8 5x - 3y = -3

Write a system of equations for the problem, and then solve the system. -If a plane can travel 310 miles per hour with the wind and only 290 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air.

Does the system have one solution, no solution, or an infinite number of solutions? -5x - y = 6 X + 4y = 18

Write the word or phrase that best completes each statement or answers the question. - Why could ( -5, -7) not be a solution of the system that is graphed?

Does the system have one solution, no solution, or an infinite number of solutions? -5x - 25y = 20 Y = x -

Choose the one alternative that best completes the statement or answers the question. Choose the correct response. -What is the speed of a plane that travels at a rate of 567 mph against a wind of r mph?

Solve by the substitution method. -0.9x + 0.7y = -2.9 X - 0.2y = -4.2

Graph the solution set of the system of inequalities. -X + y ≥\ge≥ 4 5x - 2y ≤\le≤ -10

Indicate whether the statement is true or false. -If one inequality in a system of two linear inequalities contains the "<" symbol and the other contains the ">" symbol, the graph of the system will have solid boundary lines.

Write a system of equations for the problem, and then solve the system. -The owner of Nuts2U Snack Shack mixes cashews worth $6.25 per pound with peanuts worth $2.00 per pound to get a half-pound, mixed-nut bag worth $1.90. How much of each kind of nut is included in the mixed bag?

Provide an appropriate response. -If the y term is missing in only one of two linear equations, the lines are_________ ?

Choose the one alternative that best completes the statement or answers the question. Decide whether or not the ordered pair is a solution of the system. -( 3, -2) 4x = -14 - y 3x = -17 - 4y

Use a graphing calculator to solve the system. -5x + 5y = 0 2x - 2y = 10

Provide an appropriate response. -Decide if the system has one solution, no solution, or an infinite number of solutions. X + y = 5 X + y = 4

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. -2x + 3y $\le$ 6 X - y $\le$ 3 X $\ge$ 1 $Graph the solution of the system. -2x + 3y \le 6 X - y \le 3 X \ge 1$

Graph the solution of the system. -X + y $\le$ 9 Y $\ge$ 3x - 3 X $\ge$ 0 Y $\ge$ -3 $Graph the solution of the system. -X + y \le 9 Y \ge 3x - 3 X \ge 0 Y \ge -3 ) _$ ) _

Graph the solution set of the system of inequalities. -X + y $\ge$ 4 5x - 2y $\le$ -10 $Graph the solution set of the system of inequalities. -X + y \ge 4 5x - 2y \le -10$