Name: 
 

Unit 06-04 - Sytems of Linear Equations



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Which graphed system of equations below has infinite solutions?
a.
mc001-1.jpg
c.
mc001-3.jpg
b.
mc001-2.jpg
d.
mc001-4.jpg
 

 2. 

Which system of equations are shown in the graph?
mc002-1.jpg
a.
mc002-2.jpg
c.
mc002-4.jpg
b.
mc002-3.jpg
d.
mc002-5.jpg
 

 3. 

Which shows the equation mc003-1.jpg solved for ‘y’?

a.
mc003-2.jpg
c.
mc003-4.jpg
b.
mc003-3.jpg
d.
mc003-5.jpg
 

 4. 

Solve the system by substitution:

mc004-1.jpg

What is the x-value of the solution?
a.
mc004-2.jpg
b.
mc004-3.jpg
c.
mc004-4.jpg
d.
mc004-5.jpg
 

 5. 

Consider the following system.

mc005-1.jpg

If the system was to be solved using elimination, what would be the y-value of the solution?
a.
mc005-2.jpg
c.
mc005-4.jpg
b.
mc005-3.jpg
d.
mc005-5.jpg
 

 6. 

Consider the following system.

mc006-1.jpg

If the system was to be solved using elimination, which would be correct factors to multiply each equation by to eliminate the variable x?
a.
mc006-2.jpg
c.
mc006-4.jpg
b.
mc006-3.jpg
d.
mc006-5.jpg
 

 7. 

Kim Smart was given the following system of equations and told that she must solve  this  problem  by using the elimination method. Which of the following would indicate to her teacher that she understands this process.          

      mc007-1.jpg

a.
Multiply the first equation by 2 and the second equation by –3.
b.
Put the second equation in standard form and then add both equations.
c.
Put the second equation in standard form, then multiply the top equation by –2 and bottom equation by 7.
d.
Since this problem has two variables, it can not be solved.
 

 8. 

A movie theater is selling only one size of popcorn and one size of soft drink.

·  Jason purchased 2 popcorns  and 3 soft drinks for a total of $23. 
·  Ann  purchased 3 popcorns  and 4 soft drinks for a total of $32.50.   

How much does a single popcorn cost?

a.
$4.00
c.
$5.00
b.
$4.50
d.
$5.50
 

 9. 

Tickets for a local high school student play charged $4.00 for adults and $2.50 for students.  If 410 tickets were sold for a total of $1505.00, how many adult tickets were sold?mc009-1.jpg
a.
230
c.
90
b.
335
d.
320
 

 10. 

Solve the 3-Variable System of Equations:

mc010-1.jpg

What is the correct value of just x in the solution?
a.
4
c.
2
b.
–2
d.
3
 

 11. 

What should we multiply the 2nd equation by in order to eliminate the y using the first two equations? (i.e. what multiplier should be written where the hand is shown below so that the y’s will be eliminated?)

mc011-1.jpg
a.
-2
c.
5
b.
1
d.
7
 

 12. 

Write a system of equations to represent the problem:

Tickets to a movie cost $4 for children, $5 for senior citizens, and $7 for adults. On the opening weekend of the new Avengers movie there were 2,400 tickets sold at one theater. There were $14,700 in ticket sales. There were also twice as many senior citizens as there were children.
a.
mc012-1.jpg
c.
mc012-3.jpg
b.
mc012-2.jpg
d.
mc012-4.jpg
 



 
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