Question 1

Maximize

Accepted Answer

A)  -42 
B)  -94 
C)  -90 
D)  -46 
A)  -42 
B)  -94 
C)  -90 
D)  -46

Question 2

Graph the system of inequalities.

Accepted Answer

The answer of Graph the system of inequalities.
  ...

Question 3

Use Cramer's Rule to either solve the system of equations, determine if the system is inconsistent (no solutions), or dependent (infinitely many solutions).
-5x - 6y = -29
-6x - 2y = -40

Accepted Answer

A)  (-1, 7) 
B)  (7, -1) 
C)  inconsistent 
D)  dependent 
A)  (-1, 7) 
B)  (7, -1) 
C)  inconsistent 
D)  dependent

Question 4

Write the system of linear equations represented by the augmented matrix. Utilize the variables x, y, and z.

Accepted Answer

A)  28x - 7y = 16
3x+ 23y = 20 
B)  28x + 7y = 16
3x - 23y = 20 
C)  3x + 7y = 16
28x - 23y = 20 
D)  28x + 23y = 20
3x - 20y = 16 
A)  28x - 7y = 16
3x+ 23y = 20 
B)  28x + 7y = 16
3x - 23y = 20 
C)  3x + 7y = 16
28x - 23y = 20 
D)  28x + 23y = 20
3x - 20y = 16

Question 5

Graph the linear inequality.

Accepted Answer

The answer of Graph the linear inequality.
   ...

Question 6

Solve the system of linear equations using Gaussian elimination with back-substitution.
6x + 8y + 3z = -22
4x + 6y + 5z = -30
2x + 6y + 2z = -28

Accepted Answer

A)  (-5, -4, 5) 
B)  (-4, 5, -5) 
C)  (5, -4, -5) 
D)  (5, -5, -4) 
A)  (-5, -4, 5) 
B)  (-4, 5, -5) 
C)  (5, -4, -5) 
D)  (5, -5, -4)

Question 7

Solve the system of linear equations by substitution.
-6z - 2w = 24
-6z - 2w = -2

Accepted Answer

A)  (-6, 2) 
B)  (24, -2) 
C)  infinite number of solutions 
D)  no solution 
A)  (-6, 2) 
B)  (24, -2) 
C)  infinite number of solutions 
D)  no solution

Question 8

Solve the system of equations.

Accepted Answer

The answer of Solve the system of equations.
  ...

Question 9

Graph the system of inequalities.

Accepted Answer

The answer of Graph the system of inequalities.
  ...

Question 10

Find the partial-fraction decomposition for the rational function.

Accepted Answer

The answer of Find the partial-fraction decomposition for the rational...

Question 11

Use Cramer's Rule to solve the system of equations.

Accepted Answer

The answer of Use Cramer's Rule to solve the system...

Question 12

Write the matrix in row echelon form.

Accepted Answer

The answer of Write the matrix in row echelon form.
...

Question 13

If three points (x1, y1), (x2, y2), and (x3, y3) are collinear (line on the same line), then the following must be satisfied.
   Determine whether (-9, 0), (-10, -5), and (-11, -7) are collinear.

Accepted Answer

The points

Question 14

Graph the linear inequality.

Accepted Answer

The answer of Graph the linear inequality.
  ...

Question 15

Use row operations to transform the matrix to reduced row-echelon form.

Accepted Answer

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

Question 16

Graph the linear inequality.

Accepted Answer

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

Question 17

Solve the system of linear equations using Gaussian elimination with back-substitution.
-10x - 7y = 3
-7x + 6y = 13

Accepted Answer

A)  (1, -1) 
B)  (-1, 1) 
C)  (-10, 10) 
D)  (10, -10) 
A)  (1, -1) 
B)  (-1, 1) 
C)  (-10, 10) 
D)  (10, -10)

Question 18

Find the values of A, B, and C that make the equation true.

Accepted Answer

A = 6, B =

Question 19

Solve the system of linear equations by elimination.
5t + 13q = -84
15t + 7q = 4

Accepted Answer

A)  (-4, -8) 
B)  (4, -8) 
C)  (-8, 4) 
D)  (-8, -4) 
E)  None of the above. 
A)  (-4, -8) 
B)  (4, -8) 
C)  (-8, 4) 
D)  (-8, -4) 
E)  None of the above.

Question 20

Evaluate the 2 x 2 determinant.

Accepted Answer

A)  -75 
B)  75 
C)  -7.4 
D)  -47.84 
A)  -75 
B)  75 
C)  -7.4 
D)  -47.84

Maximize

Graph the system of inequalities.

Use Cramer's Rule to either solve the system of equations, determine if the system is inconsistent (no solutions), or dependent (infinitely many solutions). -5x - 6y = -29 -6x - 2y = -40

Write the system of linear equations represented by the augmented matrix. Utilize the variables x, y, and z.

Graph the linear inequality.

Solve the system of linear equations using Gaussian elimination with back-substitution. 6x + 8y + 3z = -22 4x + 6y + 5z = -30 2x + 6y + 2z = -28

Solve the system of linear equations by substitution. -6z - 2w = 24 -6z - 2w = -2

Solve the system of equations.

Graph the system of inequalities.

Find the partial-fraction decomposition for the rational function. $Find the partial-fraction decomposition for the rational function.$

Use Cramer's Rule to solve the system of equations.

Write the matrix in row echelon form.

If three points (x₁, y₁), (x₂, y₂), and (x₃, y₃) are collinear (line on the same line), then the following must be satisfied. Determine whether (-9, 0), (-10, -5), and (-11, -7) are collinear.

Graph the linear inequality.

Use row operations to transform the matrix to reduced row-echelon form.

Graph the linear inequality.

Solve the system of linear equations using Gaussian elimination with back-substitution. -10x - 7y = 3 -7x + 6y = 13

Find the values of A, B, and C that make the equation true.

Solve the system of linear equations by elimination. 5t + 13q = -84 15t + 7q = 4

Evaluate the 2 x 2 determinant.

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions of Angles

Trigonometric Functions of Real Numbers

Analytic Trigonometry

Vectors, the Complex Plane, and Polar Coordinates

Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

Exam 8: Systems of Linear Equations and Inequalities

Maximize

Graph the system of inequalities.

Use Cramer's Rule to either solve the system of equations, determine if the system is inconsistent (no solutions), or dependent (infinitely many solutions). -5x - 6y = -29 -6x - 2y = -40

Write the system of linear equations represented by the augmented matrix. Utilize the variables x, y, and z.

Graph the linear inequality.

Solve the system of linear equations using Gaussian elimination with back-substitution. 6x + 8y + 3z = -22 4x + 6y + 5z = -30 2x + 6y + 2z = -28

Solve the system of linear equations by substitution. -6z - 2w = 24 -6z - 2w = -2

Solve the system of equations.

Graph the system of inequalities.

Find the partial-fraction decomposition for the rational function.

Use Cramer's Rule to solve the system of equations.

Write the matrix in row echelon form.

If three points (x1, y1), (x2, y2), and (x3, y3) are collinear (line on the same line), then the following must be satisfied. Determine whether (-9, 0), (-10, -5), and (-11, -7) are collinear.

Graph the linear inequality.

Use row operations to transform the matrix to reduced row-echelon form.

Graph the linear inequality.

Solve the system of linear equations using Gaussian elimination with back-substitution. -10x - 7y = 3 -7x + 6y = 13

Find the values of A, B, and C that make the equation true.

Solve the system of linear equations by elimination. 5t + 13q = -84 15t + 7q = 4

Evaluate the 2 x 2 determinant.

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions of Angles

Trigonometric Functions of Real Numbers

Analytic Trigonometry

Vectors, the Complex Plane, and Polar Coordinates

Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

Find the partial-fraction decomposition for the rational function. $Find the partial-fraction decomposition for the rational function.$

If three points (x₁, y₁), (x₂, y₂), and (x₃, y₃) are collinear (line on the same line), then the following must be satisfied. Determine whether (-9, 0), (-10, -5), and (-11, -7) are collinear.