Question 1

The graphing calculator screens show a system and the point of intersection. Choose the screen which best represents the given system.
-Y = -x + 5
Y = x

Accepted Answer

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

Question 2

Provide an appropriate response.
-Decide if the system has one solution, no solution, or an infinite number of solutions. 6x - y = 22
X + 5y = 14

Accepted Answer

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

Question 3

Does the system have one solution, no solution, or an infinite number of solutions?
-x + y = 8
X + y = 2

Accepted Answer

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

Question 4

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

Accepted Answer

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

Question 5

Choose the one alternative that best completes the statement or answers the question.
Solve the system by the elimination method.
--5x + 9y = -40
2x + 3y = 16

Accepted Answer

A)  {( 7, 1)} 
B)  {( 8, 0)} 
C)  {( 8, 1)} 
D)    
A)  {( 7, 1)} 
B)  {( 8, 0)} 
C)  {( 8, 1)} 
D)

Question 6

Decide if the graph of the system is a pair of parallel lines, intersecting lines, or one line.
-x = 33
2x - 6y = -30

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 the system by the elimination method.
-X - 5y = -30
-3x - 4y = -24

Accepted Answer

A)  {( 1, 5)} 
B)  {( 0, 6)} 
C)  {( -6, 0)} 
D)    
A)  {( 1, 5)} 
B)  {( 0, 6)} 
C)  {( -6, 0)} 
D)

Question 8

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

Accepted Answer

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

Question 9

Write a system of equations for the problem, and then solve the system.
-Two trains start from towns 572miles apart and travel toward each other on parallel tracks. They pass each other 5.5 hours later. If one train travels 18 mph faster than the other, find the speed of each train.

Accepted Answer

A)  51 mph; 53 mph 
B)  56 mph; 48 mph 
C)  63 mph; 41 mph 
D)  61 mph; 43mph 
A)  51 mph; 53 mph 
B)  56 mph; 48 mph 
C)  63 mph; 41 mph 
D)  61 mph; 43mph

Question 10

Write a system of equations for the problem, and then solve the system.
-John has a jarful of quarters and nickels. There are 83 coins in the jar. The value of the coins is $12.75. How many of each type of coin?Number of coins

Accepted Answer

A)  40 quarters and 43 nickels 
B)  48 quarters and 35 nickels 
C)  43 quarters and 40 nickels 
D)  78 quarters and 5 nickels 
A)  40 quarters and 43 nickels 
B)  48 quarters and 35 nickels 
C)  43 quarters and 40 nickels 
D)  78 quarters and 5 nickels

Question 11

Solve the system by elimination.
-7x - 5y = 28
5x + 3y = 20

Accepted Answer

A)  {( 4, 0)} 
B)  {( 3, 1)} 
C)  {(x, y)| 5x + 3y = 20} 
D)    
A)  {( 4, 0)} 
B)  {( 3, 1)} 
C)  {(x, y)| 5x + 3y = 20} 
D)

Question 12

Provide an appropriate response.
-When two linear equations are solved for y and the slopes are equal and the y-intercepts are the same, the lines are _________ ?

Accepted Answer

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

Question 13

Solve the system by any method.
-0)5x - 0.1y = -0.2
-0)1x - 0.1y = 0.4

Accepted Answer

A)    
B)  {( -1.6, -0.7)} 
C)  {( -1, -3)} 
D)  {( 2.3, 1.5)} 
A)    
B)  {( -1.6, -0.7)} 
C)  {( -1, -3)} 
D)  {( 2.3, 1.5)}

Question 14

Solve the system by elimination.
-7x - 5y = -26
  x + y = -

Accepted Answer

A)  {( -1, -3)} 
B)  {( -3, 1)} 
C)  {( 3, 1)} 
D)  {( 1, -3)} 
A)  {( -1, -3)} 
B)  {( -3, 1)} 
C)  {( 3, 1)} 
D)  {( 1, -3)}

Question 15

Choose the one alternative that best completes the statement or answers the question.
Solve the system by the elimination method.
--4x - 2y = -5
-12x - 6y = 15

Accepted Answer

A)  {( 20, 10)} 
B)  {( -20, -10)} 
C)  {(x, y)| -4x - 2y = -5} 
D)   
A)  {( 20, 10)} 
B)  {( -20, -10)} 
C)  {(x, y)| -4x - 2y = -5} 
D)

Question 16

Clear fractions then solve by substitution.
-  -   = -18
  +   = -9

Accepted Answer

A)  {(-12, 0)} 
B)  {(12, 0)} 
C)  {(x, y)| 3x - y = -108} 
D)    
A)  {(-12, 0)} 
B)  {(12, 0)} 
C)  {(x, y)| 3x - y = -108} 
D)

Question 17

Decide if the graph of the system is a pair of parallel lines, intersecting lines, or one line.
-x + 5y = 28
6x - 4y = -2

Accepted Answer

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

Question 18

Provide an appropriate response.
-When two linear equations are solved for y and the slopes are equal and the y-intercepts are different, the lines are_________ ?

Accepted Answer

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

Question 19

Provide an appropriate response.
-Decide if the system has one solution, no solution, or an infinite number of solutions.
2x - 4y = 2
Y =   x -

Accepted Answer

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

Question 20

Choose the one alternative that best completes the statement or answers the question.
Choose the correct response.
-Which expression represents the cost of t pounds of candy that sells for $5.75 per lb?

Accepted Answer

A)  $5.75 + t 
B)    
C)  $5.75t 
D)    
A)  $5.75 + t 
B)    
C)  $5.75t 
D)

The graphing calculator screens show a system and the point of intersection. Choose the screen which best represents the given system. -Y = -x + 5 Y = x

Provide an appropriate response. -Decide if the system has one solution, no solution, or an infinite number of solutions. 6x - y = 22 X + 5y = 14

Does the system have one solution, no solution, or an infinite number of solutions? -x + y = 8 X + y = 2

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

Choose the one alternative that best completes the statement or answers the question. Solve the system by the elimination method. --5x + 9y = -40 2x + 3y = 16

Decide if the graph of the system is a pair of parallel lines, intersecting lines, or one line. -x = 33 2x - 6y = -30

Choose the one alternative that best completes the statement or answers the question. Solve the system by the elimination method. -X - 5y = -30 -3x - 4y = -24

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

Write a system of equations for the problem, and then solve the system. -Two trains start from towns 572miles apart and travel toward each other on parallel tracks. They pass each other 5.5 hours later. If one train travels 18 mph faster than the other, find the speed of each train.

Write a system of equations for the problem, and then solve the system. -John has a jarful of quarters and nickels. There are 83 coins in the jar. The value of the coins is $12.75. How many of each type of coin?Number of coins

Solve the system by elimination. -7x - 5y = 28 5x + 3y = 20

Provide an appropriate response. -When two linear equations are solved for y and the slopes are equal and the y-intercepts are the same, the lines are _________ ?

Solve the system by any method. -0)5x - 0.1y = -0.2 -0)1x - 0.1y = 0.4

Solve the system by elimination. -7x - 5y = -26 x + y = -

Choose the one alternative that best completes the statement or answers the question. Solve the system by the elimination method. --4x - 2y = -5 -12x - 6y = 15

Decide if the graph of the system is a pair of parallel lines, intersecting lines, or one line. -x + 5y = 28 6x - 4y = -2

Provide an appropriate response. -When two linear equations are solved for y and the slopes are equal and the y-intercepts are different, the lines are_________ ?

Provide an appropriate response. -Decide if the system has one solution, no solution, or an infinite number of solutions. 2x - 4y = 2 Y = x -

Choose the one alternative that best completes the statement or answers the question. Choose the correct response. -Which expression represents the cost of t pounds of candy that sells for $5.75 per lb?

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Linear Equations and Inequalities in One Variable

Linear Equations and Inequalities in Two Variables; Functions

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