Question 1

Write a linear equation in three variables that is satisfied by the given ordered triples.
-(0, 0, 5), (0, 1, 4), (1, 0, 4)

Accepted Answer

A)  x - y - z = 5 
B)  x + y + z = 4 
C)  x + y + z = 5 
D)  3x + y + 3z = 5 
A)  x - y - z = 5 
B)  x + y + z = 4 
C)  x + y + z = 5 
D)  3x + y + 3z = 5

Question 2

Match the graph to the correct inequality.
-

Accepted Answer

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

Question 3

Solve the system of equations.
-x - 5y + z = 26 5x - y - z = 16

Accepted Answer

A)  (x, x - 7, 4x - 9) x is any real number 
B)  (x, x - 7, 5x - 9) x is any real number 
C)  (0, -7, -9) 
D)  (x, x - 7, 4x) x is any real number 
A)  (x, x - 7, 4x - 9) x is any real number 
B)  (x, x - 7, 5x - 9) x is any real number 
C)  (0, -7, -9) 
D)  (x, x - 7, 4x) x is any real number

Question 4

Solve the system by graphing on a calculator. Round to the nearest hundredth if necessary.
-

Accepted Answer

A)  {(0.74, -1.47), (1.73, 1.16)} 
B)  {(0.77, 1.46), (-0.59, -1.49)} 
C)  {(1.73, -1.16), (0.74, 1.47)} 
D)  {(5.25, 2.62)} 
A)  {(0.74, -1.47), (1.73, 1.16)} 
B)  {(0.77, 1.46), (-0.59, -1.49)} 
C)  {(1.73, -1.16), (0.74, 1.47)} 
D)  {(5.25, 2.62)}

Question 5

Classify the system as independent, inconsistent, or dependent.
--5 = 7x + 7y -21y - 21x = 15

Accepted Answer

A)  Inconsistent 
B)  Independent 
C)  Dependent 
A)  Inconsistent 
B)  Independent 
C)  Dependent

Question 6

Perform the indicated operation and simplify.
-

Accepted Answer

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

Question 7

For the given pair of points, find the equation of the line y = ax + b that goes through the points by solving a system of
equations.
-(3, 2) and (4, 3)

Accepted Answer

A)  y = x + 2 
B)  y = -x - 1 
C)  y = x + 5 
D)  y = x - 1 
A)  y = x + 2 
B)  y = -x - 1 
C)  y = x + 5 
D)  y = x - 1

Question 8

Graph the system of inequalities. Indicate the solution set by shading.
-

Accepted Answer

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

Question 9

Perform the indicated operation and simplify.
-

Accepted Answer

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

Question 10

Determine whether the given point is in the solution set to the given system.
-  9x - 9y - 6z = -11 6x + 3y - 3z = 1
X - y + 2z = -3

Accepted Answer

A)  No 
B)  Yes 
A)  No 
B)  Yes

Question 11

For the given pair of points, find the equation of the line y = ax + b that goes through the points by solving a system of
equations.
-(-3, -1) and (6, 26)

Accepted Answer

A)  y = 3x + 8 
B)  y = 3x - 10 
C)  y = 6x + 8 
D)  y = 3x - 1 
A)  y = 3x + 8 
B)  y = 3x - 10 
C)  y = 6x + 8 
D)  y = 3x - 1

Question 12

Match the graph to the correct inequality.
-

Accepted Answer

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

Question 13

For the given pair of points, find the equation of the line y = ax + b that goes through the points by solving a system of
equations.
-(-8, -7) and (-7, -6)

Accepted Answer

A)  y = -x - 7 
B)  y = x - 15 
C)  y = -x + 1 
D)  y = x + 1 
A)  y = -x - 7 
B)  y = x - 15 
C)  y = -x + 1 
D)  y = x + 1

Question 14

Classify the system as independent, inconsistent, or dependent.
-2x - y = 5 -4x + 2y = -18

Accepted Answer

A)  Dependent 
B)  Inconsistent 
C)  Independent 
A)  Dependent 
B)  Inconsistent 
C)  Independent

Question 15

Solve the system by addition.
--7x + 9y = 50 -4x + 7y = 36

Accepted Answer

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

Question 16

Use a graphing calculator to graph the system of inequalities.
-

Accepted Answer

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

Question 17

Solve the system by addition.
-7x + 8y = -62 14x = -64 - 16y

Accepted Answer

A)  {(-2, -6)} 
B)  {(-2, 9)} 
C)    
D)  {(7, 9)} 
A)  {(-2, -6)} 
B)  {(-2, 9)} 
C)    
D)  {(7, 9)}

Question 18

Write a system of inequalities whose solution set is the region shown.
-

Accepted Answer

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

Question 19

For the given pair of points, find the equation of the line y = ax + b that goes through the points by solving a system of
equations.
-(3, 1) and (4, 3)

Accepted Answer

A)  y = 2x - 5 
B)  y = 4x - 5 
C)  y = 2x + 1 
D)  y = 2x + 7 
A)  y = 2x - 5 
B)  y = 4x - 5 
C)  y = 2x + 1 
D)  y = 2x + 7

Question 20

Solve the system by inspecting the graph of the equations.
-16x - 4y = -8 y = 4x + 2

Accepted Answer

A)    
B)    
C)  (x, y) y = 4x + 2 
D)  (0, 2) 
A)    
B)    
C)  (x, y) y = 4x + 2 
D)  (0, 2)

Write a linear equation in three variables that is satisfied by the given ordered triples. -(0, 0, 5), (0, 1, 4), (1, 0, 4)

Match the graph to the correct inequality. -

Solve the system of equations. -x - 5y + z = 26 5x - y - z = 16

Solve the system by graphing on a calculator. Round to the nearest hundredth if necessary. -

Classify the system as independent, inconsistent, or dependent. --5 = 7x + 7y -21y - 21x = 15

Perform the indicated operation and simplify. -

For the given pair of points, find the equation of the line y = ax + b that goes through the points by solving a system of equations. -(3, 2) and (4, 3)

Graph the system of inequalities. Indicate the solution set by shading. -

Perform the indicated operation and simplify. -

Determine whether the given point is in the solution set to the given system. - 9x - 9y - 6z = -11 6x + 3y - 3z = 1 X - y + 2z = -3

For the given pair of points, find the equation of the line y = ax + b that goes through the points by solving a system of equations. -(-3, -1) and (6, 26)

Match the graph to the correct inequality. -

For the given pair of points, find the equation of the line y = ax + b that goes through the points by solving a system of equations. -(-8, -7) and (-7, -6)

Classify the system as independent, inconsistent, or dependent. -2x - y = 5 -4x + 2y = -18

Solve the system by addition. --7x + 9y = 50 -4x + 7y = 36

Use a graphing calculator to graph the system of inequalities. -

Solve the system by addition. -7x + 8y = -62 14x = -64 - 16y

Write a system of inequalities whose solution set is the region shown. -

For the given pair of points, find the equation of the line y = ax + b that goes through the points by solving a system of equations. -(3, 1) and (4, 3)

Solve the system by inspecting the graph of the equations. -16x - 4y = -8 y = 4x + 2

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

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Exam 8: Systems of Equations and Inequalities

Write a linear equation in three variables that is satisfied by the given ordered triples. -(0, 0, 5), (0, 1, 4), (1, 0, 4)

Match the graph to the correct inequality. -

Solve the system of equations. -x - 5y + z = 26 5x - y - z = 16

Solve the system by graphing on a calculator. Round to the nearest hundredth if necessary. -

Classify the system as independent, inconsistent, or dependent. --5 = 7x + 7y -21y - 21x = 15

Perform the indicated operation and simplify. -

For the given pair of points, find the equation of the line y = ax + b that goes through the points by solving a system of equations. -(3, 2) and (4, 3)

Graph the system of inequalities. Indicate the solution set by shading. -

Perform the indicated operation and simplify. -

Determine whether the given point is in the solution set to the given system. - 9x - 9y - 6z = -11 6x + 3y - 3z = 1 X - y + 2z = -3

For the given pair of points, find the equation of the line y = ax + b that goes through the points by solving a system of equations. -(-3, -1) and (6, 26)

Match the graph to the correct inequality. -

For the given pair of points, find the equation of the line y = ax + b that goes through the points by solving a system of equations. -(-8, -7) and (-7, -6)

Classify the system as independent, inconsistent, or dependent. -2x - y = 5 -4x + 2y = -18

Solve the system by addition. --7x + 9y = 50 -4x + 7y = 36

Use a graphing calculator to graph the system of inequalities. -

Solve the system by addition. -7x + 8y = -62 14x = -64 - 16y

Write a system of inequalities whose solution set is the region shown. -

For the given pair of points, find the equation of the line y = ax + b that goes through the points by solving a system of equations. -(3, 1) and (4, 3)

Solve the system by inspecting the graph of the equations. -16x - 4y = -8 y = 4x + 2

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters