Question 1

Solve the problem.
-Find the dimensions of a rectangular garden with perimeter 62 yd and area 220

Accepted Answer

A)  20 yd by 11 yd 
B)  10 yd by 11 yd 
C)  10 yd by 22 yd 
D)  20 yd by 22 yd 
A)  20 yd by 11 yd 
B)  10 yd by 11 yd 
C)  10 yd by 22 yd 
D)  20 yd by 22 yd

Question 2

Graph the linear inequality.
-

Accepted Answer

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

Question 3

Provide an appropriate response.
-When using the substitution or addition method to solve a system of two equations, you end up with an
equation stating 0 = 7. What does this indicate to you about the system of equations?

Accepted Answer

The system

Question 4

Solve the system by substitution.
-x + y = 4 x - y = -8

Accepted Answer

A)  {(-3, 7)} 
B)    
C)  {(-2, 6)} 
D)  {(2, 7)} 
A)  {(-3, 7)} 
B)    
C)  {(-2, 6)} 
D)  {(2, 7)}

Question 5

Determine whether the given point is in the solution set to the given system.
-(-3, 6) 3x + y = -3
2x + 3y = 12

Accepted Answer

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

Question 6

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

Accepted Answer

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

Question 7

Provide an appropriate response.
-If the graphs of a system of two equations are a circle and a parabola, what are the possible numbers of
solutions with real coordinates of this system?

Accepted Answer

The answer of Provide an appropriate response.
-If the graphs of...

Question 8

Solve the problem.
-Mrs. White wants to crochet hats and afghans for a church fundraising bazaar. She needs 6 hours to make a hat and 4 hours to make an afghan, and she has no more than 58 hours available. She has material for no more than
13 items and no more than 11 afghans. The bazaar will sell the hats for $24 each and the afghans for $6 each.
How many of each should she make to maximize the income for the bazaar? What is the maximum income?

Accepted Answer

A)  3 hats, 10 afghans; $132 
B)  11 hats, 2 afghans; $276 
C)  5 hats, 8 afghans; $168 
D)  10 hats, 3 afghans; $258 
A)  3 hats, 10 afghans; $132 
B)  11 hats, 2 afghans; $276 
C)  5 hats, 8 afghans; $168 
D)  10 hats, 3 afghans; $258

Question 9

Find the specified extreme value on the given region.
-  Maximum of T(x, y) = 3x + y

Accepted Answer

A)  39 
B)  29 
C)  7 
D)  25 
A)  39 
B)  29 
C)  7 
D)  25

Question 10

Solve the system by inspecting the graph of the equations.
-x + 4y = -15 2x - 2y = 20

Accepted Answer

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

Question 11

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

Accepted Answer

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

Question 12

Provide an appropriate response.
-If the graphs of a system of two equations are both circles, what are the possible numbers of solutions with real
coordinates of this system?

Accepted Answer

0, 1, 2, i

Question 13

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

Accepted Answer

A)  {(-1.84, -1.52), (1.50, -1.86)} 
B)  {(-1.50, 1.86), (1.84, 1.52)} 
C)  {(-1.50, -1.86), (1.84, -1.52)} 
D)  {(-1.84, 1.52), (1.50, 1.86)} 
A)  {(-1.84, -1.52), (1.50, -1.86)} 
B)  {(-1.50, 1.86), (1.84, 1.52)} 
C)  {(-1.50, -1.86), (1.84, -1.52)} 
D)  {(-1.84, 1.52), (1.50, 1.86)}

Question 14

Solve the problem.
-Jane wants to buy a photocopier. The salesman has the following information on 3 models. If all 3 are used, a specific job can be done in 50 minutes. If copier A operates for 20 minutes and copier B for 50 minutes, one-half
The job is finished. If copier B operates for 30 minutes and copier C for 80 minutes, three-fifths of the job is done.
Which is the fastest copier, and how long does it take for this copier to finish the whole job?

Accepted Answer

A)  C is fastest; 100 min 
B)  A is fastest; 120 min 
C)  B is fastest; 100 min 
D)  C is fastest; 120 min 
A)  C is fastest; 100 min 
B)  A is fastest; 120 min 
C)  B is fastest; 100 min 
D)  C is fastest; 120 min

Question 15

Solve the problem.
-A rectangular plot has area 126   with a perimeter of 46 yd. What is the length of the longest side?

Accepted Answer

A)  13 yd 
B)  12 yd 
C)  16 yd 
D)  14 yd 
A)  13 yd 
B)  12 yd 
C)  16 yd 
D)  14 yd

Question 16

Solve the problem.
-The sum of three numbers is 4. The first, minus the second, plus 4 times the third, is -8. The third, plus 3 times the first, plus the second, is 10. What are the numbers?

Accepted Answer

A)  -3, -3, 2 
B)  3, 3, 3 
C)  No solution 
D)  3, 3, -2 
A)  -3, -3, 2 
B)  3, 3, 3 
C)  No solution 
D)  3, 3, -2

Question 17

Graph the inequality.
-

Accepted Answer

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

Question 18

Solve the system.
-  x - y = 1

Accepted Answer

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

Question 19

Classify the system as independent, inconsistent, or dependent.
-x + y = 2 x + y = 5

Accepted Answer

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

Question 20

Graph the solution set to the given system of inequalities.
-

Accepted Answer

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

Solve the problem. -Find the dimensions of a rectangular garden with perimeter 62 yd and area 220

Graph the linear inequality. -

Provide an appropriate response. -When using the substitution or addition method to solve a system of two equations, you end up with an equation stating 0 = 7. What does this indicate to you about the system of equations?

Solve the system by substitution. -x + y = 4 x - y = -8

Determine whether the given point is in the solution set to the given system. -(-3, 6) 3x + y = -3 2x + 3y = 12

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

Provide an appropriate response. -If the graphs of a system of two equations are a circle and a parabola, what are the possible numbers of solutions with real coordinates of this system?

Find the specified extreme value on the given region. - Maximum of T(x, y) = 3x + y

Solve the system by inspecting the graph of the equations. -x + 4y = -15 2x - 2y = 20

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

Provide an appropriate response. -If the graphs of a system of two equations are both circles, what are the possible numbers of solutions with real coordinates of this system?

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

Solve the problem. -A rectangular plot has area 126 with a perimeter of 46 yd. What is the length of the longest side?

Solve the problem. -The sum of three numbers is 4. The first, minus the second, plus 4 times the third, is -8. The third, plus 3 times the first, plus the second, is 10. What are the numbers?

Graph the inequality. -

Solve the system. - x - y = 1

Classify the system as independent, inconsistent, or dependent. -x + y = 2 x + y = 5

Graph the solution set to the given system of inequalities. -

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

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Exam 8: Systems of Equations and Inequalities

Solve the problem. -Find the dimensions of a rectangular garden with perimeter 62 yd and area 220

Graph the linear inequality. -

Provide an appropriate response. -When using the substitution or addition method to solve a system of two equations, you end up with an equation stating 0 = 7. What does this indicate to you about the system of equations?

Solve the system by substitution. -x + y = 4 x - y = -8

Determine whether the given point is in the solution set to the given system. -(-3, 6) 3x + y = -3 2x + 3y = 12

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

Provide an appropriate response. -If the graphs of a system of two equations are a circle and a parabola, what are the possible numbers of solutions with real coordinates of this system?

Find the specified extreme value on the given region. - Maximum of T(x, y) = 3x + y

Solve the system by inspecting the graph of the equations. -x + 4y = -15 2x - 2y = 20

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

Provide an appropriate response. -If the graphs of a system of two equations are both circles, what are the possible numbers of solutions with real coordinates of this system?

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

Solve the problem. -A rectangular plot has area 126 with a perimeter of 46 yd. What is the length of the longest side?

Solve the problem. -The sum of three numbers is 4. The first, minus the second, plus 4 times the third, is -8. The third, plus 3 times the first, plus the second, is 10. What are the numbers?

Graph the inequality. -

Solve the system. - x - y = 1

Classify the system as independent, inconsistent, or dependent. -x + y = 2 x + y = 5

Graph the solution set to the given system of inequalities. -

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