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

Perform the indicated operation and simplify.
-

Accepted Answer

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

Question 3

Solve the problem.
-Mike, Joe, and Bill are painting a fence. The painting can be finished if Mike and Joe work together for 4 hours and Bill works alone for 2 hours or if Mike and Joe work together for 2 hours and Bill works alone for 5 hours,
Or if Mike works alone for 6 hours, Joe works alone for 2 hours, and Bill works alone for 1 hour. How much time
Does it take for each man working alone to complete the painting?

Accepted Answer

A)  Mike 8 hr, Joe 8 hr, Bill 16 hr 
B)  Mike 8 hr, Joe 16 hr, Bill 8 hr 
C)  Mike 16 hr, Joe 8 hr, Bill 8 hr 
D)  Mike 12 hr, Joe 10 hr, Bill 10 hr 
A)  Mike 8 hr, Joe 8 hr, Bill 16 hr 
B)  Mike 8 hr, Joe 16 hr, Bill 8 hr 
C)  Mike 16 hr, Joe 8 hr, Bill 8 hr 
D)  Mike 12 hr, Joe 10 hr, Bill 10 hr

Question 4

Graph the solution set of the system.
-

Accepted Answer

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

Question 5

Solve the problem.
-Linda invests $25,000 for one year. Part is invested at 5%, another part at 6%, and the rest at 8%. The total income from all 3 investments is $1600. The combined income from the 5% and 6% investments is the same as
The income from the 8% investment. Find the amount invested at each rate.

Accepted Answer

A)  $8000 at 5%, $10,000 at 6%, $7000 at 8% 
B)  $10,000 at 5%, $10,000 at 6%, $5000 at 8% 
C)  $5000 at 5%, $10,000 at 6%, $10,000 at 8% 
D)  $10,000 at 5%, $5000 at 6%, $10,000 at 8% 
A)  $8000 at 5%, $10,000 at 6%, $7000 at 8% 
B)  $10,000 at 5%, $10,000 at 6%, $5000 at 8% 
C)  $5000 at 5%, $10,000 at 6%, $10,000 at 8% 
D)  $10,000 at 5%, $5000 at 6%, $10,000 at 8%

Question 6

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

Accepted Answer

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

Question 7

Decompose into partial fractions.
-

Accepted Answer

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

Question 8

Solve the problem.
-A shopkeeper orders 30 pounds of cashews and peanuts. If he orders 24 less pounds of cashews, how many pounds of peanuts did he order?

Accepted Answer

A)  6 lb 
B)  3 lb 
C)  27 lb 
D)  15 lb 
A)  6 lb 
B)  3 lb 
C)  27 lb 
D)  15 lb

Question 9

Graph the inequality.
-

Accepted Answer

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

Question 10

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

Accepted Answer

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

Question 11

Solve the system of equations.
-x - y + 4z = -5 2x + z = 0
X + 2y + z = 10

Accepted Answer

A)    
B)  {(0, 5, 0)} 
C)  {(0, 0, 5)} 
D)  {(0, 5, -5)} 
A)    
B)  {(0, 5, 0)} 
C)  {(0, 0, 5)} 
D)  {(0, 5, -5)}

Question 12

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 = 0. What does this indicate to you about the system of equations?

Accepted Answer

The system

Question 13

Graph the solution set of the system.
-

Accepted Answer

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

Question 14

Solve the system.
-

Accepted Answer

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

Question 15

Solve the system.
-

Accepted Answer

A)  {(1, 0), (-1, 0), (1, -2), (-1, 2)} 
B)  {(1, 1), (-1, -1), (1, -2), (-1, 2)} 
C)  {(1, 0), (1, 1)} 
D)  {(1, -2), (-1, 2)} 
A)  {(1, 0), (-1, 0), (1, -2), (-1, 2)} 
B)  {(1, 1), (-1, -1), (1, -2), (-1, 2)} 
C)  {(1, 0), (1, 1)} 
D)  {(1, -2), (-1, 2)}

Question 16

Solve the system of equations.
-x - y + z = -7 x + y + z = 3
X + y - z = 9

Accepted Answer

A)  {(1, -3, 5)} 
B)  {(-3, 1, 5)} 
C)    
D)  {(1, 5, -3)} 
A)  {(1, -3, 5)} 
B)  {(-3, 1, 5)} 
C)    
D)  {(1, 5, -3)}

Question 17

Determine whether the given point is in the solution set to the given system.
-(-2, -3) x - 5y = 13

Accepted Answer

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

Question 18

Solve the problem.
-The population of one town is modeled by the function P(t) =   and the population of a second town is modeled by the function P(t) = 32 + 1.2t. In each case, t is the number of years from the present, and P(t) is given
In thousands of people. In how many years is the population of the first town predicted to be twice as large as
The population of the second town? (Round to the nearest tenth of a year.)

Accepted Answer

A)  63.8 years 
B)  16.2 years 
C)  61.7 years 
D)  24.7 years 
A)  63.8 years 
B)  16.2 years 
C)  61.7 years 
D)  24.7 years

Question 19

Solve the system.
-  x + y = 11

Accepted Answer

A)  {(-6, 5), (-5, 6)} 
B)  {(6, -5), (5, -6)} 
C)  {(6, 5), (5, 6)} 
D)  {(-6, -5), (-5, -6)} 
A)  {(-6, 5), (-5, 6)} 
B)  {(6, -5), (5, -6)} 
C)  {(6, 5), (5, 6)} 
D)  {(-6, -5), (-5, -6)}

Question 20

For the given pair of points, find the equation of the line y = ax + b that goes through the points by solving a system of
equations.
-(9, -7) and (8, -4)

Accepted Answer

A)  y = -3x + 20 
B)  y = 3x - 20 
C)  y = -3x - 7 
D)  y = 3x - 34 
A)  y = -3x + 20 
B)  y = 3x - 20 
C)  y = -3x - 7 
D)  y = 3x - 34

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

Perform the indicated operation and simplify. -

Graph the solution set of the system. -

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

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

Solve the problem. -A shopkeeper orders 30 pounds of cashews and peanuts. If he orders 24 less pounds of cashews, how many pounds of peanuts did he order?

Graph the inequality. -

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

Solve the system of equations. -x - y + 4z = -5 2x + z = 0 X + 2y + z = 10

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 = 0. What does this indicate to you about the system of equations?

Graph the solution set of the system. -

Solve the system. -

Solve the system. -

Solve the system of equations. -x - y + z = -7 x + y + z = 3 X + y - z = 9

Determine whether the given point is in the solution set to the given system. -(-2, -3) x - 5y = 13

Solve the system. - x + y = 11

For the given pair of points, find the equation of the line y = ax + b that goes through the points by solving a system of equations. -(9, -7) and (8, -4)

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. -

Perform the indicated operation and simplify. -

Graph the solution set of the system. -

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

Decompose into partial fractions. -

Solve the problem. -A shopkeeper orders 30 pounds of cashews and peanuts. If he orders 24 less pounds of cashews, how many pounds of peanuts did he order?

Graph the inequality. -

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

Solve the system of equations. -x - y + 4z = -5 2x + z = 0 X + 2y + z = 10

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 = 0. What does this indicate to you about the system of equations?

Graph the solution set of the system. -

Solve the system. -

Solve the system. -

Solve the system of equations. -x - y + z = -7 x + y + z = 3 X + y - z = 9

Determine whether the given point is in the solution set to the given system. -(-2, -3) x - 5y = 13

Solve the system. - x + y = 11

For the given pair of points, find the equation of the line y = ax + b that goes through the points by solving a system of equations. -(9, -7) and (8, -4)

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

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