Question 1

Solve the equation graphically. 0.5 - 0.15 x = 0.2

Accepted Answer

A)    (2, 0.2) 
B)    x = -1.4 
C)    x = -2 
D)    x = 2 
A)    (2, 0.2) 
B)    x = -1.4 
C)    x = -2 
D)    x = 2

Question 2

Use Cramer's rule to find the solution set of the system.

Accepted Answer

A)  x = -4, y = 6, z = -3 
B)  x = -6, y = 3, z = -3 
C)  x = -5, y = 4, z = -4 
D)  x = -4, y = 4, z = -4 
E)  x = -5, y = 5, z = -6 
A)  x = -4, y = 6, z = -3 
B)  x = -6, y = 3, z = -3 
C)  x = -5, y = 4, z = -4 
D)  x = -4, y = 4, z = -4 
E)  x = -5, y = 5, z = -6

Question 3

Use matrices to solve the system of equations. If the system has no solution, so indicate .

Accepted Answer

A)  ( 7, 5 ) 
B)  ( 5, 3 ) 
C)  ( 7, 3 ) 
D)  ( 5, 5 ) 
E)  No solution. 
A)  ( 7, 5 ) 
B)  ( 5, 3 ) 
C)  ( 7, 3 ) 
D)  ( 5, 5 ) 
E)  No solution.

Question 4

Solve the system by substitution method, if possible.

Accepted Answer

A)    
B)    
C)    
D)  infinitely many solutions, dependent equations 
E)  no solution, inconsistent system 
A)    
B)    
C)    
D)  infinitely many solutions, dependent equations 
E)  no solution, inconsistent system

Question 5

The owner of a candy store mixed some peanuts worth $2 per pound, some cashews worth $8 per pound, and some Brazil nuts worth $8 per pound to get 50 pounds of a mixture that would sell for $5 per pound. She used 15 fewer pounds of cashews than peanuts. How many pounds of each did she use?

Accepted Answer

A)  15 lb peanuts, 10 lb cashews, 25 lb Brazil nuts 
B)  15 lb peanuts, 20 lb cashews, 30 lb Brazil nuts 
C)  25 lb peanuts, 10 lb cashews, 15 lb Brazil nuts 
D)  30 lb peanuts, 15 lb cashews, 20 lb Brazil nuts 
E)  10 lb peanuts, 25 lb cashews, 15 lb Brazil nuts 
A)  15 lb peanuts, 10 lb cashews, 25 lb Brazil nuts 
B)  15 lb peanuts, 20 lb cashews, 30 lb Brazil nuts 
C)  25 lb peanuts, 10 lb cashews, 15 lb Brazil nuts 
D)  30 lb peanuts, 15 lb cashews, 20 lb Brazil nuts 
E)  10 lb peanuts, 25 lb cashews, 15 lb Brazil nuts

Question 6

Use matrices to help find a general solution of the system of equations. Express your answer in terms of z.

Accepted Answer

A)    
B)    
C)    
D)    
E)  No solution 
A)    
B)    
C)    
D)    
E)  No solution

Question 7

Select the fraction that accurately represents the repeating decimal. Simplify the answer if possible.

Accepted Answer

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

Question 8

Use the addition method to solve the system. If the equations of the system are dependent, or if a system is inconsistent, so indicate.

Accepted Answer

A)    
B)    
C)    
D)  The equations are dependent. 
E)  The system is inconsistent. 
A)    
B)    
C)    
D)  The equations are dependent. 
E)  The system is inconsistent.

Question 9

Solve the system.

Accepted Answer

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

Question 10

Use matrices to solve the system of equations. If the system has no solution, so indicate.

Accepted Answer

A)  ( 3, 4, 6 ) 
B)  ( 3, 4, 9 ) 
C)  ( 3, 6, 6 ) 
D)  ( 4, 6, 6 ) 
E)  No solution. 
A)  ( 3, 4, 6 ) 
B)  ( 3, 4, 9 ) 
C)  ( 3, 6, 6 ) 
D)  ( 4, 6, 6 ) 
E)  No solution.

Question 11

Use two equations in two variables to solve the following problem. In a year the number of people dying from cancer was 5 times the number who died from accidents. If the number of deaths from these two causes totaled 360,000, how many people died from each cause?

Accepted Answer

A)  280,000 died from cancer, 60,000 died from accidents 
B)  290,000 died from cancer, 70,000 died from accidents 
C)  280,000 died from cancer, 80,000 died from accidents 
D)  300,000 died from cancer, 60,000 died from accidents 
E)  290,000 died from cancer, 80,000 died from accidents 
A)  280,000 died from cancer, 60,000 died from accidents 
B)  290,000 died from cancer, 70,000 died from accidents 
C)  280,000 died from cancer, 80,000 died from accidents 
D)  300,000 died from cancer, 60,000 died from accidents 
E)  290,000 died from cancer, 80,000 died from accidents

Question 12

Solve the system.   If the equations of the system are dependent, or if a system is inconsistent, so indicate.

Accepted Answer

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

Question 13

Use the substitution method to solve the system. If the equations of the system are dependent, or if the system is inconsistent, so indicate.

Accepted Answer

A)    
B)    
C)    
D)    
E)  The system is inconsistent. 
A)    
B)    
C)    
D)    
E)  The system is inconsistent.

Question 14

Use the substitution method to solve the following system. If the equations of the system are dependent, or if the system is inconsistent, so indicate.

Accepted Answer

A)    
B)    
C)    
D)  The equations are dependent. 
E)  The system is inconsistent. 
A)    
B)    
C)    
D)  The equations are dependent. 
E)  The system is inconsistent.

Question 15

Use matrices to help find a general solution of the system of equations. Express your answer in terms of z .   Enter your answer as an ordered triple.

Accepted Answer

The answer of Use matrices to help find a general...

Question 16

Solve the system.

Accepted Answer

A)    
B)    
C)  The system is inconsistent. 
D)  The system is dependent. 
A)    
B)    
C)  The system is inconsistent. 
D)  The system is dependent.

Question 17

Which of the following ordered triples is a solution of the system   ?

Accepted Answer

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

Question 18

Use two equations in two variables to solve the following problem. A rancher raises five times as many cows as horses. If he has 132 animals (cows and horses only), how many cows does he have?

Accepted Answer

A)  110 cows 
B)  90 cows 
C)  150 cows 
D)  100 cows 
E)  80 cows 
A)  110 cows 
B)  90 cows 
C)  150 cows 
D)  100 cows 
E)  80 cows

Question 19

Solve the system.

Accepted Answer

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

Question 20

Express the solution of the graphed system as a general ordered pair.

Accepted Answer

A)  (5, 15) 
B)  ( x , y ) 
C)  (2 x - y , 3 y - 6 x ) 
D)  ( x , 2 x - 5) 
A)  (5, 15) 
B)  ( x , y ) 
C)  (2 x - y , 3 y - 6 x ) 
D)  ( x , 2 x - 5)

Solve the equation graphically. 0.5 - 0.15 x = 0.2

Use Cramer's rule to find the solution set of the system.

Use matrices to solve the system of equations. If the system has no solution, so indicate .

Solve the system by substitution method, if possible.

The owner of a candy store mixed some peanuts worth $2 per pound, some cashews worth $8 per pound, and some Brazil nuts worth $8 per pound to get 50 pounds of a mixture that would sell for $5 per pound. She used 15 fewer pounds of cashews than peanuts. How many pounds of each did she use?

Use matrices to help find a general solution of the system of equations. Express your answer in terms of z.

Select the fraction that accurately represents the repeating decimal. Simplify the answer if possible. $Select the fraction that accurately represents the repeating decimal. Simplify the answer if possible.$

Use the addition method to solve the system. If the equations of the system are dependent, or if a system is inconsistent, so indicate.

Solve the system.

Use matrices to solve the system of equations. If the system has no solution, so indicate.

Use two equations in two variables to solve the following problem. In a year the number of people dying from cancer was 5 times the number who died from accidents. If the number of deaths from these two causes totaled 360,000, how many people died from each cause?

Solve the system. If the equations of the system are dependent, or if a system is inconsistent, so indicate.

Use the substitution method to solve the system. If the equations of the system are dependent, or if the system is inconsistent, so indicate.

Use the substitution method to solve the following system. If the equations of the system are dependent, or if the system is inconsistent, so indicate.

Use matrices to help find a general solution of the system of equations. Express your answer in terms of z . Enter your answer as an ordered triple.

Solve the system.

Which of the following ordered triples is a solution of the system ?

Use two equations in two variables to solve the following problem. A rancher raises five times as many cows as horses. If he has 132 animals (cows and horses only), how many cows does he have?

Solve the system.

Express the solution of the graphed system as a general ordered pair.

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Inequalities

Polynomials, Polynomial Functions, and Equations

Rational Expressions

Radical Expressions and Equations

Quadratic Equations and Functions; Inequalities; and Algebra, Composition, and Inverses of Functions

Exponential and Logarithmic Functions

Conic Sections and More Graphing

Miscellaneous Topics

Filters

Exam 3: Systems of Linear Equations

Solve the equation graphically. 0.5 - 0.15 x = 0.2

Use Cramer's rule to find the solution set of the system.

Use matrices to solve the system of equations. If the system has no solution, so indicate .

Solve the system by substitution method, if possible.

The owner of a candy store mixed some peanuts worth $2 per pound, some cashews worth $8 per pound, and some Brazil nuts worth $8 per pound to get 50 pounds of a mixture that would sell for $5 per pound. She used 15 fewer pounds of cashews than peanuts. How many pounds of each did she use?

Use matrices to help find a general solution of the system of equations. Express your answer in terms of z.

Select the fraction that accurately represents the repeating decimal. Simplify the answer if possible.

Use the addition method to solve the system. If the equations of the system are dependent, or if a system is inconsistent, so indicate.

Solve the system.

Use matrices to solve the system of equations. If the system has no solution, so indicate.

Use two equations in two variables to solve the following problem. In a year the number of people dying from cancer was 5 times the number who died from accidents. If the number of deaths from these two causes totaled 360,000, how many people died from each cause?

Solve the system. If the equations of the system are dependent, or if a system is inconsistent, so indicate.

Use the substitution method to solve the system. If the equations of the system are dependent, or if the system is inconsistent, so indicate.

Use the substitution method to solve the following system. If the equations of the system are dependent, or if the system is inconsistent, so indicate.

Use matrices to help find a general solution of the system of equations. Express your answer in terms of z . Enter your answer as an ordered triple.

Solve the system.

Which of the following ordered triples is a solution of the system ?

Use two equations in two variables to solve the following problem. A rancher raises five times as many cows as horses. If he has 132 animals (cows and horses only), how many cows does he have?

Solve the system.

Express the solution of the graphed system as a general ordered pair.

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Inequalities

Polynomials, Polynomial Functions, and Equations

Rational Expressions

Radical Expressions and Equations

Quadratic Equations and Functions; Inequalities; and Algebra, Composition, and Inverses of Functions

Exponential and Logarithmic Functions

Conic Sections and More Graphing

Miscellaneous Topics

Filters

Select the fraction that accurately represents the repeating decimal. Simplify the answer if possible. $Select the fraction that accurately represents the repeating decimal. Simplify the answer if possible.$