Question 1

If solving a system of equations using the substitution method results in   which describes the system?

Accepted Answer

A)  consistent one solution 
B)  consistent infinitely many solutions 
C)  inconsistent no solution 
A)  consistent one solution 
B)  consistent infinitely many solutions 
C)  inconsistent no solution

Question 2

Find the inverse of   .

Accepted Answer

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

Question 3

Test to determine whether the given point is in the solution set of the system of inequalities.

Accepted Answer

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

Question 4

You have two part-time jobs: selling clothing paying $10 per hour and stocking shelves paying $7.50 per hour. You want to earn at least $225 per week. In addition you can only work at most 30 hours per week. Let c be the hours you work selling clothes each week and let s be the hours that you work stocking shelves each week. Write the system of linear inequalities that describes this situation and graphically solve the system of inequalities.

Accepted Answer

The answer of You have two part-time jobs: selling clothing...

Question 5

Solve the system using the elimination method.

Accepted Answer

The answer of Solve the system using the elimination method....

Question 6

Solve the logarithmic equation   for   . Round to the nearest hundredth.

Accepted Answer

A)  0.24 
B)  0.15 
C)  4.25 
D)  0.29 
E)  0.31 
A)  0.24 
B)  0.15 
C)  4.25 
D)  0.29 
E)  0.31

Question 7

On August 21 2009 the World Health Organization announced its prediction that the number of new cases of H1N1 (swine flu) virus would double every 5 days for several months. As of July 27 2009 the number of new cases was 16409. Determine the number of new cases of the H1N1 virus after 9 days. Rounded to the nearest whole number.

Accepted Answer

A)  24117 
B)  57139 
C)  18849 
D)  8401408 
E)  17723 
A)  24117 
B)  57139 
C)  18849 
D)  8401408 
E)  17723

Question 8

Solve the system using the elimination method.

Accepted Answer

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

Question 9

The graph below shows the solution set to an inequality. Is the point   in the solution set?

Accepted Answer

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

Question 10

A boat takes a long trip traveling 140 miles downstream in 7 hours. The return trip upstream takes 10 hours. Let b be the rate of the boat in still water in miles per hour and let c be the rate of the current in miles per hour. 
 
 In order to determine the two equations of the system described here use the formula that distance = rate times time.

Accepted Answer

A) True 
 B)False

Question 11

Write the linear inequality for the given graph.

Accepted Answer

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

Question 12

Find   .

Accepted Answer

A)  6 
B)  8 
C)  262144 
D)  48 
E)  1 
A)  6 
B)  8 
C)  262144 
D)  48 
E)  1

Question 13

The value of   is   .

Accepted Answer

A) True 
 B)False

Question 14

Use the graph to determine the solution to the system of equations.

Accepted Answer

The answer of Use the graph to determine the solution...

Question 15

As a first step in solving the system by the method of elimination you multiply the first equation by 5.   Your result is   . Is this correct?

Accepted Answer

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

Question 16

Test to determine whether the given point is in the solution set of the system of inequalities.

Accepted Answer

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

Question 17

You are mixing two kinds of hard candy: mints that cost $6 per pound and chocolate drops that cost $5 per pound. You need exactly 45 pounds of candy total and your candy budget is $249.80. Let m be the pounds of mints and let c be the pounds of chocolate. 
 
 Set up a system of equations described in this problem. Solve the system by the method of substitution. Interpret your solution.

Accepted Answer

@#IMG-DLM& @#IMG-DLM& 24.8 pou

Question 18

Solve the exponential equation   for   . Round to the nearest thousandth.

Accepted Answer

A)  1.946 
B)  2.189 
C)  12.772 
D)  -0.043 
E)  -23.133 
A)  1.946 
B)  2.189 
C)  12.772 
D)  -0.043 
E)  -23.133

Question 19

A 3.2-magnitude earthquake hit off the Oregon coast in August 2009. In the same month an earthquake 4 times as intense struck China. What was the magnitude of the earthquake in China?

Accepted Answer

A)  12.8 
B)  3.2 
C)  3.8 
D)  4.6 
E)  0.5 
A)  12.8 
B)  3.2 
C)  3.8 
D)  4.6 
E)  0.5

Question 20

Which one of the following is the correct expansion of the logarithm expression   ?

Accepted Answer

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

If solving a system of equations using the substitution method results in which describes the system?

Find the inverse of .

Test to determine whether the given point is in the solution set of the system of inequalities.

Solve the system using the elimination method.

Solve the logarithmic equation for . Round to the nearest hundredth.

Solve the system using the elimination method.

The graph below shows the solution set to an inequality. Is the point in the solution set?

Write the linear inequality for the given graph.

Find .

The value of is .

Use the graph to determine the solution to the system of equations.

As a first step in solving the system by the method of elimination you multiply the first equation by 5. Your result is . Is this correct?

Test to determine whether the given point is in the solution set of the system of inequalities.

Solve the exponential equation for . Round to the nearest thousandth.

A 3.2-magnitude earthquake hit off the Oregon coast in August 2009. In the same month an earthquake 4 times as intense struck China. What was the magnitude of the earthquake in China?

Which one of the following is the correct expansion of the logarithm expression ?

Building Blocks of Algebra

Linear Equations and Inequalities With One Variable

Linear Equations With Two Variables

Exponents and Polynomials

Factoring and Quadratic Equations

Rational Expressions and Equations

Radical Expressions and Equations

Modeling Data

Filters

Exam 4: Systems of Linear Equations

If solving a system of equations using the substitution method results in which describes the system?

Find the inverse of .

Test to determine whether the given point is in the solution set of the system of inequalities.

Solve the system using the elimination method.

Solve the logarithmic equation for . Round to the nearest hundredth.

Solve the system using the elimination method.

The graph below shows the solution set to an inequality. Is the point in the solution set?

Write the linear inequality for the given graph.

Find .

The value of is .

Use the graph to determine the solution to the system of equations.

As a first step in solving the system by the method of elimination you multiply the first equation by 5. Your result is . Is this correct?

Test to determine whether the given point is in the solution set of the system of inequalities.

Solve the exponential equation for . Round to the nearest thousandth.

A 3.2-magnitude earthquake hit off the Oregon coast in August 2009. In the same month an earthquake 4 times as intense struck China. What was the magnitude of the earthquake in China?

Which one of the following is the correct expansion of the logarithm expression ?

Building Blocks of Algebra

Linear Equations and Inequalities With One Variable

Linear Equations With Two Variables

Exponents and Polynomials

Factoring and Quadratic Equations

Rational Expressions and Equations

Radical Expressions and Equations

Modeling Data

Filters