Question 1

Determine if the points (-2, 1), (-1, 1), and (0, 1) are colinear.

Accepted Answer

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

Question 2

Solve the system by graphing. If the solution does not appear to be a lattice point, estimate the solution to the nearest tenth (indicate that your solution is an estimate).

Accepted Answer

(1, 3)   (Gridlines are spaced one unit apart.)

Question 3

Solve the linear inequality by shading the appropriate half plane.
x - y $\le$ 2

Accepted Answer

The answer of Solve the linear inequality by shading the...

Question 4

Solve the system of equations using Cramer's rule, if possible. Do not use a calculator.

Accepted Answer

A)  (4, 4) 
B)  (4, 5) 
C)  (5, 4) 
D)  no solution 
A)  (4, 4) 
B)  (4, 5) 
C)  (5, 4) 
D)  no solution

Question 5

Determine if the points (-2, 3), (1, -5), and (-3, 2) are colinear.

Accepted Answer

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

Question 6

Solve the system by triangularizing the augmented matrix and using back substitution. If the system is linearly dependent, give the solution in terms of a parameter.

Accepted Answer

A)  (2, 1, 3) 
B)  (2, 1, 2) 
C)  coincident dependence; {(x, y, z) | x + y - 3z = -6} 
D)  no solution, inconsistent 
A)  (2, 1, 3) 
B)  (2, 1, 2) 
C)  coincident dependence; {(x, y, z) | x + y - 3z = -6} 
D)  no solution, inconsistent

Question 7

Solve the system using the elimination method. If the system has coincident dependence, state the solution in set notation.

Accepted Answer

The answer of Solve the system using the elimination method....

Question 8

Determine whether the ordered pairs given are solutions to the system.   (0, 0), (3, -1), (-3, -3), and (-5, 1)

Accepted Answer

The answer of Determine whether the ordered pairs given are...

Question 9

Find any four ordered triples that satisfy the equation.
x - y + z = -3

Accepted Answer

(0, 1, -2), (1, 0, -

Question 10

Use a calculator to find A-1.

Accepted Answer

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

Question 11

Decompose the rational expression into partial fractions.

Accepted Answer

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

Question 12

Find the values of a, b, and c that will make the statement true.   =

Accepted Answer

a = -4, b

Question 13

Solve the system by triangularizing the augmented matrix and using back substitution.

Accepted Answer

A)  (5, 5) 
B)  (6, 6) 
C)  (6, 5) 
D)  (5, 6) 
A)  (5, 5) 
B)  (6, 6) 
C)  (6, 5) 
D)  (5, 6)

Question 14

Model the problem using a system of linear equations. Then solve using the augmented matrix. Suppose $24,000 is invested in three different accounts paying 3%, 4%, and 7%
Annual interest. The interest earned after 1 year is $1270, and the amount
Invested at 7% is equal to the sum of the amounts invested at 3% and 4%.
Find the amount invested at 3%.

Accepted Answer

A)  $5000 
B)  $6000 
C)  $7000 
D)  $8000 
A)  $5000 
B)  $6000 
C)  $7000 
D)  $8000

Question 15

Compute the determinant of the matrix without using a calculator. If the determinant is zero, write singular matrix.

Accepted Answer

A)  -8 
B)  8 
C)  24 
D)  singular matrix 
A)  -8 
B)  8 
C)  24 
D)  singular matrix

Question 16

Solve using any method and identify the system as consistent, inconsistent, or dependent.

Accepted Answer

@#IMG-DLM& ; consist

Question 17

Determine which of the ordered pairs given produces the maximum value of P(x, y). P(x, y) = 20x + 50y; (0, 0), (5, 2), (4, 0), (0, 6)

Accepted Answer

A)  (0, 0) 
B)  (5, 2) 
C)  (4, 0) 
D)  (0, 6) 
A)  (0, 0) 
B)  (5, 2) 
C)  (4, 0) 
D)  (0, 6)

Question 18

Use the following to answer questions :  
-Write the system of equations corresponding to the matrix.

Accepted Answer

The answer of Use the following to answer questions :...

Question 19

Solve using the elimination method. If the system is inconsistent or dependent, so state. For a system with linear dependence, write the answer in terms of a parameter. For coincident dependence, state the solution in set notation.

Accepted Answer

The answer of Solve using the elimination method. If the...

Question 20

Perform the indicated operation, if possible. Do not use a calculator. If the operation cannot be completed, state why.   A + B

Accepted Answer

The answer of Perform the indicated operation, if possible. Do...

Determine if the points (-2, 1), (-1, 1), and (0, 1) are colinear.

Solve the system by graphing. If the solution does not appear to be a lattice point, estimate the solution to the nearest tenth (indicate that your solution is an estimate).

Solve the linear inequality by shading the appropriate half plane. x - y $\le$ 2

Solve the system of equations using Cramer's rule, if possible. Do not use a calculator.

Determine if the points (-2, 3), (1, -5), and (-3, 2) are colinear.

Solve the system by triangularizing the augmented matrix and using back substitution. If the system is linearly dependent, give the solution in terms of a parameter.

Solve the system using the elimination method. If the system has coincident dependence, state the solution in set notation.

Determine whether the ordered pairs given are solutions to the system. (0, 0), (3, -1), (-3, -3), and (-5, 1)

Find any four ordered triples that satisfy the equation. x - y + z = -3

Use a calculator to find A^-1.

Decompose the rational expression into partial fractions. $Decompose the rational expression into partial fractions.$

Find the values of a, b, and c that will make the statement true. =

Solve the system by triangularizing the augmented matrix and using back substitution.

Compute the determinant of the matrix without using a calculator. If the determinant is zero, write singular matrix.

Solve using any method and identify the system as consistent, inconsistent, or dependent.

Determine which of the ordered pairs given produces the maximum value of P(x, y). P(x, y) = 20x + 50y; (0, 0), (5, 2), (4, 0), (0, 6)

Use the following to answer questions : -Write the system of equations corresponding to the matrix.

Solve using the elimination method. If the system is inconsistent or dependent, so state. For a system with linear dependence, write the answer in terms of a parameter. For coincident dependence, state the solution in set notation.

Perform the indicated operation, if possible. Do not use a calculator. If the operation cannot be completed, state why. A + B

Equations and Inequalities

Relations, Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Introduction to Trigonometric Functions

Trigonometric Identities, Inverses, and Equations

Applications of Trigonometry

Analytical Geometry

Additional Topics in Algebra

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

Filters

Exam 8: Systems of Equations and Inequalities

Determine if the points (-2, 1), (-1, 1), and (0, 1) are colinear.

Solve the system by graphing. If the solution does not appear to be a lattice point, estimate the solution to the nearest tenth (indicate that your solution is an estimate).

Solve the linear inequality by shading the appropriate half plane. x - y ≤\le≤ 2

Solve the system of equations using Cramer's rule, if possible. Do not use a calculator.

Determine if the points (-2, 3), (1, -5), and (-3, 2) are colinear.

Solve the system by triangularizing the augmented matrix and using back substitution. If the system is linearly dependent, give the solution in terms of a parameter.

Solve the system using the elimination method. If the system has coincident dependence, state the solution in set notation.

Determine whether the ordered pairs given are solutions to the system. (0, 0), (3, -1), (-3, -3), and (-5, 1)

Find any four ordered triples that satisfy the equation. x - y + z = -3

Use a calculator to find A-1.

Decompose the rational expression into partial fractions.

Find the values of a, b, and c that will make the statement true. =

Solve the system by triangularizing the augmented matrix and using back substitution.

Compute the determinant of the matrix without using a calculator. If the determinant is zero, write singular matrix.

Solve using any method and identify the system as consistent, inconsistent, or dependent.

Determine which of the ordered pairs given produces the maximum value of P(x, y). P(x, y) = 20x + 50y; (0, 0), (5, 2), (4, 0), (0, 6)

Use the following to answer questions : -Write the system of equations corresponding to the matrix.

Solve using the elimination method. If the system is inconsistent or dependent, so state. For a system with linear dependence, write the answer in terms of a parameter. For coincident dependence, state the solution in set notation.

Perform the indicated operation, if possible. Do not use a calculator. If the operation cannot be completed, state why. A + B

Equations and Inequalities

Relations, Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Introduction to Trigonometric Functions

Trigonometric Identities, Inverses, and Equations

Applications of Trigonometry

Analytical Geometry

Additional Topics in Algebra

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

Filters

Solve the linear inequality by shading the appropriate half plane. x - y $\le$ 2

Use a calculator to find A^-1.

Decompose the rational expression into partial fractions. $Decompose the rational expression into partial fractions.$