Question 1

Match the graph to the correct inequality.
-

Accepted Answer

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

Question 2

Solve the system.
-  x + 4y = 43

Accepted Answer

A)  (79, -9) 
B)  (23, 5), (79, -9) 
C)    
D)  (23, 5) 
A)  (79, -9) 
B)  (23, 5), (79, -9) 
C)    
D)  (23, 5)

Question 3

Perform the indicated operation and simplify.
-

Accepted Answer

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

Question 4

Find the unknowns on the right side of the partial fraction decomposition.
-

Accepted Answer

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

Question 5

Provide an appropriate response.
-Consider the equation 5(-3 - x) + x = 14x - 5(3 - x). Now consider the following system of equations solvable by
the substitution method:
y = 5(-3 - x) + x
y = 14x - 5(3 - x).
Explain the connections that exist between the single equation and the system of two equations.

Accepted Answer

The answer of Provide an appropriate response.
-Consider the equation 5(-3...

Question 6

Solve the problem.
-The sum of the squares of the digits of a positive two-digit number is 20, and the tens digit is 2 more than the units digit. Find the number.

Accepted Answer

A)  53 
B)  42 
C)  24 
D)  35 
A)  53 
B)  42 
C)  24 
D)  35

Question 7

Perform the indicated operation and simplify.
-

Accepted Answer

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

Question 8

Classify the system as independent, inconsistent, or dependent.
--1 = 6x + 7y 14y + 12x = -3

Accepted Answer

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

Question 9

Find A, B, and C for the partial fraction decomposition.
-

Accepted Answer

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

Question 10

Solve the problem.
-A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. B requires 1 black, 2 white, and 1 red. C requires 2 black, 1 white, and 2 red. They used 95 black, 100 white and 80 red wires. How
Many of each cable were made?

Accepted Answer

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

Question 11

Provide an appropriate response.
-If the graphs of a system of two equations are a line and a parabola, what are the possible numbers of solutions
with real coordinates of this system?

Accepted Answer

The answer of Provide an appropriate response.
-If the graphs of...

Question 12

Graph the inequality.
-

Accepted Answer

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

Question 13

Solve the system by graphing.
-3x + y = 19 3x + y = 25

Accepted Answer

A)  {(15, -26)} 
B)  {(12, 7)} 
C)    
D)  {(x, y) | 3x + y = 19} 
A)  {(15, -26)} 
B)  {(12, 7)} 
C)    
D)  {(x, y) | 3x + y = 19}

Question 14

Select the graph that represents the given equation.
-x + 2y - z = 4

Accepted Answer

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

Question 15

Solve the system.
-

Accepted Answer

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

Question 16

Solve the system of equations.
-x + y + z = 4 x - y + 3z = 10
4x + y + z = -5

Accepted Answer

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

Question 17

Match the graph to the correct inequality.
-

Accepted Answer

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

Question 18

Solve the system by graphing.
-3x - 2y = 4 -6x + 4y = 7

Accepted Answer

A)  {(2, 1)} 
B)    
C)  {(1, 2)} 
D)  {(x, y) | -6x + 4y = 7} 
A)  {(2, 1)} 
B)    
C)  {(1, 2)} 
D)  {(x, y) | -6x + 4y = 7}

Question 19

Solve the system.
-

Accepted Answer

A)  {(2, 0), (-2, 0), (2, -6), (-2, 6)} 
B)  {(2, -6), (-2, 6)} 
C)  {(0, 2), (0, -2), (2, -6), (-2, 6)} 
D)  {(2, 0), (-2, 0)} 
A)  {(2, 0), (-2, 0), (2, -6), (-2, 6)} 
B)  {(2, -6), (-2, 6)} 
C)  {(0, 2), (0, -2), (2, -6), (-2, 6)} 
D)  {(2, 0), (-2, 0)}

Question 20

Determine whether the given point is in the solution set to the given system.
-(2, 8, -3) 3x - 4y - 2z = -20
4x + y - z = 19
X - 2y + 3z = -23

Accepted Answer

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

Match the graph to the correct inequality. -

Solve the system. - x + 4y = 43

Perform the indicated operation and simplify. -

Find the unknowns on the right side of the partial fraction decomposition. - $Find the unknowns on the right side of the partial fraction decomposition. -$

Solve the problem. -The sum of the squares of the digits of a positive two-digit number is 20, and the tens digit is 2 more than the units digit. Find the number.

Perform the indicated operation and simplify. -

Classify the system as independent, inconsistent, or dependent. --1 = 6x + 7y 14y + 12x = -3

Find A, B, and C for the partial fraction decomposition. - $Find A, B, and C for the partial fraction decomposition. -$

Solve the problem. -A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. B requires 1 black, 2 white, and 1 red. C requires 2 black, 1 white, and 2 red. They used 95 black, 100 white and 80 red wires. How Many of each cable were made?

Provide an appropriate response. -If the graphs of a system of two equations are a line and a parabola, what are the possible numbers of solutions with real coordinates of this system?

Graph the inequality. -

Solve the system by graphing. -3x + y = 19 3x + y = 25

Select the graph that represents the given equation. -x + 2y - z = 4

Solve the system. -

Solve the system of equations. -x + y + z = 4 x - y + 3z = 10 4x + y + z = -5

Match the graph to the correct inequality. -

Solve the system by graphing. -3x - 2y = 4 -6x + 4y = 7

Solve the system. -

Determine whether the given point is in the solution set to the given system. -(2, 8, -3) 3x - 4y - 2z = -20 4x + y - z = 19 X - 2y + 3z = -23

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

Exam 8: Systems of Equations and Inequalities

Match the graph to the correct inequality. -

Solve the system. - x + 4y = 43

Perform the indicated operation and simplify. -

Find the unknowns on the right side of the partial fraction decomposition. -

Solve the problem. -The sum of the squares of the digits of a positive two-digit number is 20, and the tens digit is 2 more than the units digit. Find the number.

Perform the indicated operation and simplify. -

Classify the system as independent, inconsistent, or dependent. --1 = 6x + 7y 14y + 12x = -3

Find A, B, and C for the partial fraction decomposition. -

Solve the problem. -A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. B requires 1 black, 2 white, and 1 red. C requires 2 black, 1 white, and 2 red. They used 95 black, 100 white and 80 red wires. How Many of each cable were made?

Provide an appropriate response. -If the graphs of a system of two equations are a line and a parabola, what are the possible numbers of solutions with real coordinates of this system?

Graph the inequality. -

Solve the system by graphing. -3x + y = 19 3x + y = 25

Select the graph that represents the given equation. -x + 2y - z = 4

Solve the system. -

Solve the system of equations. -x + y + z = 4 x - y + 3z = 10 4x + y + z = -5

Match the graph to the correct inequality. -

Solve the system by graphing. -3x - 2y = 4 -6x + 4y = 7

Solve the system. -

Determine whether the given point is in the solution set to the given system. -(2, 8, -3) 3x - 4y - 2z = -20 4x + y - z = 19 X - 2y + 3z = -23

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

Find the unknowns on the right side of the partial fraction decomposition. - $Find the unknowns on the right side of the partial fraction decomposition. -$

Find A, B, and C for the partial fraction decomposition. - $Find A, B, and C for the partial fraction decomposition. -$