Question 1

Graph the system of inequalities. Indicate the solution set by shading.
-

Accepted Answer

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

Question 2

Find the ordered triple that belongs to the set.
-{7 - z, 1 - z, z|z = -8}

Accepted Answer

A)  (15, -8, 9) 
B)  (15, 9, -8) 
C)  (-8, 15, 9) 
D)  (-8, 9, 15) 
A)  (15, -8, 9) 
B)  (15, 9, -8) 
C)  (-8, 15, 9) 
D)  (-8, 9, 15)

Question 3

Solve the system by graphing on a calculator. Round to the nearest hundredth if necessary.
-

Accepted Answer

A)  {(2.75, 1.28)} 
B)  {(2.75, -1.28)} 
C)  {(1.04, -0.14), (3.52, -1.69)} 
D)  {(-3.52, 0.59)} 
A)  {(2.75, 1.28)} 
B)  {(2.75, -1.28)} 
C)  {(1.04, -0.14), (3.52, -1.69)} 
D)  {(-3.52, 0.59)}

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

Solve the system.
-

Accepted Answer

A)  {(1, 3), (-1, -3)} 
B)  {(1, 3), (1, -3), (-1, 3), (-1, -3)} 
C)  {(2, -3), (-2, 3)} 
D)  {(2, 3), (2, -3), (-2, 3), (-2, -3)} 
A)  {(1, 3), (-1, -3)} 
B)  {(1, 3), (1, -3), (-1, 3), (-1, -3)} 
C)  {(2, -3), (-2, 3)} 
D)  {(2, 3), (2, -3), (-2, 3), (-2, -3)}

Question 6

Use a graphing calculator to graph the system of inequalities.
-

Accepted Answer

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

Question 7

Solve the problem.
-There were 450 people at a play. The admission price was $3 for adults and $1 for children. The admission receipts were $870. How many adults and how many children attended?

Accepted Answer

A)  217 adults, 233 children 
B)  240 adults, 210 children 
C)  120 adults, 330 children 
D)  210 adults, 240 children 
A)  217 adults, 233 children 
B)  240 adults, 210 children 
C)  120 adults, 330 children 
D)  210 adults, 240 children

Question 8

Solve the system of equations.
-3x - y + 8z = 64 -4x + 5z = 19
4y + z = 23

Accepted Answer

A)    
B)  {(4, 4, 7)} 
C)  {(4, 7, 4)} 
D)  {(-4, 4, 8)} 
A)    
B)  {(4, 4, 7)} 
C)  {(4, 7, 4)} 
D)  {(-4, 4, 8)}

Question 9

Solve the system by graphing on a calculator. Round to the nearest hundredth if necessary.
-

Accepted Answer

A)  {(-1, 3)} 
B)    
C)  {(1, -3)} 
D)  {(1, 3)} 
A)  {(-1, 3)} 
B)    
C)  {(1, -3)} 
D)  {(1, 3)}

Question 10

Find the specified extreme value on the given region.
-  Minimum of

Accepted Answer

A)  16 
B)  0 
C)  24 
D)  36 
A)  16 
B)  0 
C)  24 
D)  36

Question 11

Solve the system.
-

Accepted Answer

A)  0, - 4 
B)    
C)    
D)    
A)  0, - 4 
B)    
C)    
D)

Question 12

Classify the system as independent, inconsistent, or dependent.
-2x - y = 4 x + 3y = 2

Accepted Answer

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

Question 13

Solve the system by substitution.
-0.6x + 0.7y = -0.2 x - 0.7y = -7.8

Accepted Answer

A)  {(-5, 4)} 
B)  {(4, -5)} 
C)  {(-0.5, 0.4)} 
D)    
A)  {(-5, 4)} 
B)  {(4, -5)} 
C)  {(-0.5, 0.4)} 
D)

Question 14

Solve the system by graphing.
-

Accepted Answer

A)  {(3, 4)} 
B)  {(3, 1)} 
C)  {(4, 3)} 
D)  {(4, -3)} 
A)  {(3, 4)} 
B)  {(3, 1)} 
C)  {(4, 3)} 
D)  {(4, -3)}

Question 15

Solve the system by graphing on a calculator. Round to the nearest hundredth if necessary.
-

Accepted Answer

A)  {(3.42, 1.47), (-3.62, -0.87)} 
B)  {(-3.41, -1.47), (3.62, 0.87)} 
C)  {(1.47, 3.42), (-0.87, -3.62)} 
D)  {(-11.26, -3.42), (11.06, 4.02)} 
A)  {(3.42, 1.47), (-3.62, -0.87)} 
B)  {(-3.41, -1.47), (3.62, 0.87)} 
C)  {(1.47, 3.42), (-0.87, -3.62)} 
D)  {(-11.26, -3.42), (11.06, 4.02)}

Question 16

Solve the system by substitution.
-x + 5y = 0 x - 5y = 90

Accepted Answer

A)  {(45, 9)} 
B)  {(5, -1)} 
C)  {(45, -9)} 
D)  {(-9, 45)} 
A)  {(45, 9)} 
B)  {(5, -1)} 
C)  {(45, -9)} 
D)  {(-9, 45)}

Question 17

Write the system of inequalities that describes the possible solutions to the problem.
-The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. The company can produce up to 24 rings each day, using up to 60 total man-hours of labor. It takes 2 man-hours to make one VIP
Ring and 3 man-hours to make one SST ring. Let x represent the number of VIP rings, and let y represent the
Number of SST rings. Including the system inequalities   and y   find the remaining inequalities that best
Describe this company's ring production.

Accepted Answer

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

Question 18

Write a system of inequalities whose solution set is the region shown.
-

Accepted Answer

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

Question 19

Find the specified maximum and / or minimum.
-Find the maximum and minimum of P(x, y) = 25x + 16y subject to

Accepted Answer

A)  250, 32 
B)  330, 250 
C)  80, 48 
D)  330, 48 
A)  250, 32 
B)  330, 250 
C)  80, 48 
D)  330, 48

Question 20

Solve the problem.
-The sum of the squares of the digits of a positive two-digit number is 85, and the tens digit is 1 less than the units digit. Find the number.

Accepted Answer

A)  76 
B)  65 
C)  67 
D)  56 
A)  76 
B)  65 
C)  67 
D)  56

Graph the system of inequalities. Indicate the solution set by shading. -

Find the ordered triple that belongs to the set. -{7 - z, 1 - z, z|z = -8}

Solve the system by graphing on a calculator. Round to the nearest hundredth if necessary. -

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 system. -

Use a graphing calculator to graph the system of inequalities. -

Solve the problem. -There were 450 people at a play. The admission price was $3 for adults and $1 for children. The admission receipts were $870. How many adults and how many children attended?

Solve the system of equations. -3x - y + 8z = 64 -4x + 5z = 19 4y + z = 23

Solve the system by graphing on a calculator. Round to the nearest hundredth if necessary. -

Find the specified extreme value on the given region. - Minimum of

Solve the system. -

Classify the system as independent, inconsistent, or dependent. -2x - y = 4 x + 3y = 2

Solve the system by substitution. -0.6x + 0.7y = -0.2 x - 0.7y = -7.8

Solve the system by graphing. -

Solve the system by graphing on a calculator. Round to the nearest hundredth if necessary. -

Solve the system by substitution. -x + 5y = 0 x - 5y = 90

Write a system of inequalities whose solution set is the region shown. -

Find the specified maximum and / or minimum. -Find the maximum and minimum of P(x, y) = 25x + 16y subject to

Solve the problem. -The sum of the squares of the digits of a positive two-digit number is 85, and the tens digit is 1 less than the units digit. Find the number.

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

Graph the system of inequalities. Indicate the solution set by shading. -

Find the ordered triple that belongs to the set. -{7 - z, 1 - z, z|z = -8}

Solve the system by graphing on a calculator. Round to the nearest hundredth if necessary. -

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

Solve the system. -

Use a graphing calculator to graph the system of inequalities. -

Solve the problem. -There were 450 people at a play. The admission price was $3 for adults and $1 for children. The admission receipts were $870. How many adults and how many children attended?

Solve the system of equations. -3x - y + 8z = 64 -4x + 5z = 19 4y + z = 23

Solve the system by graphing on a calculator. Round to the nearest hundredth if necessary. -

Find the specified extreme value on the given region. - Minimum of

Solve the system. -

Classify the system as independent, inconsistent, or dependent. -2x - y = 4 x + 3y = 2

Solve the system by substitution. -0.6x + 0.7y = -0.2 x - 0.7y = -7.8

Solve the system by graphing. -

Solve the system by graphing on a calculator. Round to the nearest hundredth if necessary. -

Solve the system by substitution. -x + 5y = 0 x - 5y = 90

Write a system of inequalities whose solution set is the region shown. -

Find the specified maximum and / or minimum. -Find the maximum and minimum of P(x, y) = 25x + 16y subject to

Solve the problem. -The sum of the squares of the digits of a positive two-digit number is 85, and the tens digit is 1 less than the units digit. Find the number.

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