Question 1

Determine whether the given point is in the solution set to the given system.
-(5, -4, 5) 2x - 3y + 3z = 24
4x + 4y - 3z = -8
3x - 3y + 2z = 23

Accepted Answer

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

Question 2

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

Accepted Answer

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

Question 3

Perform the indicated operation and simplify.
-

Accepted Answer

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

Question 4

Graph the inequality.
-

Accepted Answer

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

Question 5

Classify the system as independent, inconsistent, or dependent.
-3x = y + 3 6x - 2y = 3

Accepted Answer

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

Question 6

Decompose into partial fractions.
-

Accepted Answer

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

Question 7

Solve the system of equations.
-4x -8y - z = -43 x + 4y - 9z = -36
-6x + y + z = -5

Accepted Answer

A)  {(-3, 6, 6)} 
B)  {(3, 6, 7)} 
C)    
D)  {(3, 7, 6)} 
A)  {(-3, 6, 6)} 
B)  {(3, 6, 7)} 
C)    
D)  {(3, 7, 6)}

Question 8

Match the graph to the correct inequality.
-

Accepted Answer

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

Question 9

Graph the inequality.
-

Accepted Answer

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

Question 10

Graph the solution set of the system.
-

Accepted Answer

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

Question 11

Determine whether the given point is in the solution set to the given system.
-(7, 2, -5) 3x - 8y + z = 0
2x + 4y - 3z = 37
-x + 2y - z = 2

Accepted Answer

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

Question 12

Solve the system.
-  x - y = 3

Accepted Answer

A)  {(8, -5)} 
B)  {(-8, -5)} 
C)  {(8, 5)} 
D)  {(-8, 5)} 
A)  {(8, -5)} 
B)  {(-8, -5)} 
C)  {(8, 5)} 
D)  {(-8, 5)}

Question 13

Solve the problem.
-A grain dealer sold to one customer 7 bushels of wheat, 2 of corn, and 5 of rye, for $35.90; to another, 2 of wheat, 5 of corn, and 7 of rye, for $42.30; and to a third, 5 of wheat, 7 of corn, and 2 of rye, for $28.20. What was the
Price per bushel for corn?

Accepted Answer

A)  $1.50 
B)  $4.40 
C)  $2.00 
D)  $1.70 
A)  $1.50 
B)  $4.40 
C)  $2.00 
D)  $1.70

Question 14

Solve the system.
-y = x 3x - y = -16

Accepted Answer

A)  - 8, 8 
B)  (-4, 4) 
C)  (-4, 4), - 8, - 8 
D)  (-4, 4), - 8, 8 
A)  - 8, 8 
B)  (-4, 4) 
C)  (-4, 4), - 8, - 8 
D)  (-4, 4), - 8, 8

Question 15

Solve the system by addition.
-0.2x + 0.05y = 0.15 4x + y = 3

Accepted Answer

A)  (x, y) 4x + y = 3 
B)    
C)  (0, 3) 
D)    
A)  (x, y) 4x + y = 3 
B)    
C)  (0, 3) 
D)

Question 16

Solve the system by graphing.
-3x + y = 10 12x + 4y = 40

Accepted Answer

A)  {(5, -5)} 
B)  {(x, y) | 3x + y = 10} 
C)    
D)  {(0, 10)} 
A)  {(5, -5)} 
B)  {(x, y) | 3x + y = 10} 
C)    
D)  {(0, 10)}

Question 17

Solve the system by substitution.
-3x - 9y = -21 2x + 3y = 22

Accepted Answer

A)  {(-5, 4)} 
B)    
C)  {(5, 4)} 
D)  {(-8, -2)} 
A)  {(-5, 4)} 
B)    
C)  {(5, 4)} 
D)  {(-8, -2)}

Question 18

Solve the problem.
-The perimeter of a rectangle is 42 cm. One side is 9 cm longer than the other side. Find the lengths of the sides.

Accepted Answer

A)  8 cm, 17 cm 
B)  6 cm, 15 cm 
C)  12 cm, 21 cm 
D)  6 cm, 9 cm 
A)  8 cm, 17 cm 
B)  6 cm, 15 cm 
C)  12 cm, 21 cm 
D)  6 cm, 9 cm

Question 19

Solve the system by substitution.
-x + 4y = -9 2x + 4y = -6

Accepted Answer

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

Question 20

Match the graph to the correct inequality.
-

Accepted Answer

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

Determine whether the given point is in the solution set to the given system. -(5, -4, 5) 2x - 3y + 3z = 24 4x + 4y - 3z = -8 3x - 3y + 2z = 23

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

Perform the indicated operation and simplify. -

Graph the inequality. -

Classify the system as independent, inconsistent, or dependent. -3x = y + 3 6x - 2y = 3

Decompose into partial fractions. - $Decompose into partial fractions. -$

Solve the system of equations. -4x -8y - z = -43 x + 4y - 9z = -36 -6x + y + z = -5

Match the graph to the correct inequality. -

Graph the inequality. -

Graph the solution set of the system. -

Determine whether the given point is in the solution set to the given system. -(7, 2, -5) 3x - 8y + z = 0 2x + 4y - 3z = 37 -x + 2y - z = 2

Solve the system. - x - y = 3

Solve the problem. -A grain dealer sold to one customer 7 bushels of wheat, 2 of corn, and 5 of rye, for $35.90; to another, 2 of wheat, 5 of corn, and 7 of rye, for $42.30; and to a third, 5 of wheat, 7 of corn, and 2 of rye, for $28.20. What was the Price per bushel for corn?

Solve the system. -y = x 3x - y = -16

Solve the system by addition. -0.2x + 0.05y = 0.15 4x + y = 3

Solve the system by graphing. -3x + y = 10 12x + 4y = 40

Solve the system by substitution. -3x - 9y = -21 2x + 3y = 22

Solve the problem. -The perimeter of a rectangle is 42 cm. One side is 9 cm longer than the other side. Find the lengths of the sides.

Solve the system by substitution. -x + 4y = -9 2x + 4y = -6

Match the graph to the correct inequality. -

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

Determine whether the given point is in the solution set to the given system. -(5, -4, 5) 2x - 3y + 3z = 24 4x + 4y - 3z = -8 3x - 3y + 2z = 23

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

Perform the indicated operation and simplify. -

Graph the inequality. -

Classify the system as independent, inconsistent, or dependent. -3x = y + 3 6x - 2y = 3

Decompose into partial fractions. -

Solve the system of equations. -4x -8y - z = -43 x + 4y - 9z = -36 -6x + y + z = -5

Match the graph to the correct inequality. -

Graph the inequality. -

Graph the solution set of the system. -

Determine whether the given point is in the solution set to the given system. -(7, 2, -5) 3x - 8y + z = 0 2x + 4y - 3z = 37 -x + 2y - z = 2

Solve the system. - x - y = 3

Solve the problem. -A grain dealer sold to one customer 7 bushels of wheat, 2 of corn, and 5 of rye, for $35.90; to another, 2 of wheat, 5 of corn, and 7 of rye, for $42.30; and to a third, 5 of wheat, 7 of corn, and 2 of rye, for $28.20. What was the Price per bushel for corn?

Solve the system. -y = x 3x - y = -16

Solve the system by addition. -0.2x + 0.05y = 0.15 4x + y = 3

Solve the system by graphing. -3x + y = 10 12x + 4y = 40

Solve the system by substitution. -3x - 9y = -21 2x + 3y = 22

Solve the problem. -The perimeter of a rectangle is 42 cm. One side is 9 cm longer than the other side. Find the lengths of the sides.

Solve the system by substitution. -x + 4y = -9 2x + 4y = -6

Match the graph to the correct inequality. -

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

Decompose into partial fractions. - $Decompose into partial fractions. -$