Question 1

Perform the indicated operation, if possible. Do not use a calculator. If the operation cannot be completed, state why.  2A - 3B

Accepted Answer

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

Question 2

Identify the equation and variable that makes the substitution method easiest to use. Then solve the system.

Accepted Answer

The answer of Identify the equation and variable that makes...

Question 3

Solve the system of inequalities by graphing the solution region.

Accepted Answer

The answer of Solve the system of inequalities by graphing...

Question 4

Form the augmented matrix, then name the diagonal entries of the coefficient matrix.

Accepted Answer

A)

Diagonal entries 6, -7, 2 
B)

Diagonal entries 6, -7, -2 
C)

Diagonal entries 6, -7, -2 
D)

Diagonal entries 6, -7, 2

Question 5

Find the area of the triangle with vertices (-1, -2), (4, 2), and (1, -2). Assume area units are cm2.

Accepted Answer

A)  16 cm2 
B)  4 cm2 
C)  8 cm2 
D)  12 cm2

Question 6

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

The answer of Solve the system by graphing. If the...

Question 7

Solve the system using the elimination method.

Accepted Answer

A)  (4, 0, 4) 
B)  (3, 1, 4) 
C)  (3, 1, 3) 
D)  (4, 0, 3)

Question 8

Use a calculator to find A^-1.

Accepted Answer

The answer of Use a calculator to find A^-1. ...

Question 9

Use the following to answer questions :
Esther wants to spend no more than $60 buying gifts for her friends Barb and Wanda. She wants to spend at least $20 on Wanda's gift.
-Solve the system of linear inequalities.

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 10

Write the determinants D, D_x, D_y, and D_z for the system, then determine if a solution using Cramer's rule is possible by computing the value of D without the use of a calculator (do not solve the system).

Accepted Answer

The answer of Write the determinants D, D_x, D_y, and...

Question 11

Solve the system using the elimination method. If the system is inconsistent or dependent, so state.

Accepted Answer

A)  (4, -2, -5) 
B)  (4, -3, -4) 
C)  dependent 
D)  no solution, inconsistent

Question 12

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

A)  (-2, -1, 3) 
B)  (-z + 1, -z + 2, z) 
C)   
D)  no solution, inconsistent

Question 13

Solve the system of inequalities by graphing the solution region.

Accepted Answer

The answer of Solve the system of inequalities by graphing...

Question 14

Solve the linear inequality by shading the appropriate half plane.
2x + 3y > 6

Accepted Answer

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

Question 15

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 16

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

Accepted Answer

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

Question 17

Substitute the x- and y-values indicated by the ordered pair (9, -5) to determine if it solves the system.

Accepted Answer

A)  Yes 
B)  No

Question 18

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

The answer of Solve the system by graphing. If the...

Question 19

Decompose the rational expression into partial fractions.

Accepted Answer

The answer of Decompose the rational expression into partial fractions....

Question 20

Perform the indicated operation, if possible. Do not use a calculator.  A2

Accepted Answer

A) 
 
B) 
 
C) 
 
D)  matrix multiplication not possible

Exam 8: Systems of Equations and Inequalities

Perform the indicated operation, if possible. Do not use a calculator. If the operation cannot be completed, state why. 2A - 3B

Identify the equation and variable that makes the substitution method easiest to use. Then solve the system.

Solve the system of inequalities by graphing the solution region.

Form the augmented matrix, then name the diagonal entries of the coefficient matrix.

Find the area of the triangle with vertices (-1, -2) , (4, 2) , and (1, -2) . Assume area units are cm².

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 system using the elimination method.

Use a calculator to find A^-1.

Use the following to answer questions : Esther wants to spend no more than $60 buying gifts for her friends Barb and Wanda. She wants to spend at least $20 on Wanda's gift. -Solve the system of linear inequalities.

Write the determinants D, D_x, D_y, and D_z for the system, then determine if a solution using Cramer's rule is possible by computing the value of D without the use of a calculator (do not solve the system).

Solve the system using the elimination method. If the system is inconsistent or dependent, so state.

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.

Solve the system of inequalities by graphing the solution region.

Solve the linear inequality by shading the appropriate half plane. 2x + 3y > 6

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. AB

Substitute the x- and y-values indicated by the ordered pair (9, -5) to determine if it solves the system.

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).

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

Perform the indicated operation, if possible. Do not use a calculator. A²

Exam 8: Systems of Equations and Inequalities

Perform the indicated operation, if possible. Do not use a calculator. If the operation cannot be completed, state why. 2A - 3B

Identify the equation and variable that makes the substitution method easiest to use. Then solve the system.

Solve the system of inequalities by graphing the solution region.

Form the augmented matrix, then name the diagonal entries of the coefficient matrix.

Find the area of the triangle with vertices (-1, -2) , (4, 2) , and (1, -2) . Assume area units are cm2.

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 system using the elimination method.

Use a calculator to find A-1.

Use the following to answer questions : Esther wants to spend no more than $60 buying gifts for her friends Barb and Wanda. She wants to spend at least $20 on Wanda's gift. -Solve the system of linear inequalities.

Write the determinants D, Dx, Dy, and Dz for the system, then determine if a solution using Cramer's rule is possible by computing the value of D without the use of a calculator (do not solve the system).

Solve the system using the elimination method. If the system is inconsistent or dependent, so state.

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.

Solve the system of inequalities by graphing the solution region.

Solve the linear inequality by shading the appropriate half plane. 2x + 3y > 6

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. AB

Substitute the x- and y-values indicated by the ordered pair (9, -5) to determine if it solves the system.

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).

Decompose the rational expression into partial fractions.

Perform the indicated operation, if possible. Do not use a calculator. A2

Find the area of the triangle with vertices (-1, -2) , (4, 2) , and (1, -2) . Assume area units are cm².

Use a calculator to find A^-1.

Write the determinants D, D_x, D_y, and D_z for the system, then determine if a solution using Cramer's rule is possible by computing the value of D without the use of a calculator (do not solve the system).

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

Perform the indicated operation, if possible. Do not use a calculator. A²