Question 1

Solve the system using the substitution method.

Accepted Answer

A)   
B)   
C)  dependent 
D)  no solution 
E)

Question 2

Mary Jo spends $2,300 to buy stock in two companies. She pays $14 a share to one of the companies and $20 a share to the other. If she ends up with a total of 130 shares, how many shares did she buy at $14 a share and how many did she buy at $20 a share?

Accepted Answer

A)  45 at $14 and 85 at $20 
B)  30 at $14 and 100 at $20 
C)  55 at $14 and 75 at $20 
D)  70 at $14 and 60 at $20 
E)  50 at $14 and 80 at $20

Question 3

Solve the system of linear equations by the elimination method.

Accepted Answer

A)   
B)   
C)  The lines coincide. 
D)   
E)  The lines are parallel.

Question 4

Two numbers have a sum of  One number is  more than the other. Find the numbers.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 5

Solve the system by eliminating the x variable.

Accepted Answer

A)  The lines are parallel.  
B)   
C)   
D)  The lines coincide. 
E)

Question 6

Jane is deciding between two sales positions. She can work for Marcy s and receive  per hour or for Gigi s, where she earns  per hour but also receives a  commission per week. The two lines in the following figure represent the money Jane will make for working at each of the jobs.  From the sketch of the graphed lines, how many hours would Jane have to work to earn the same amount at each of the positions? __________ hours If Jane expects to work less than  hours a week, which job should she choose? a. Gigi s b. Marcy s __________ If Jane expects to work more than  hours a week, which job should she choose? a. Gigi s b. Marcy s __________

Accepted Answer

The answer of Jane is deciding between two sales positions....

Exam 4: Systems of Linear Equations

Solve the system using the substitution method.

Mary Jo spends $2,300 to buy stock in two companies. She pays $14 a share to one of the companies and $20 a share to the other. If she ends up with a total of 130 shares, how many shares did she buy at $14 a share and how many did she buy at $20 a share?

Solve the system of linear equations by the elimination method.

Two numbers have a sum of One number is more than the other. Find the numbers.

Solve the system by eliminating the x variable.