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Systems of Equations Quiz
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Systems of Equations Quiz
 
   
 
What is the solution of the system? Use a graph.
 

 1. 

–4x + 3y = –12
–2x + 3y = –18
a.
mc001-1.jpg
c.
mc001-3.jpg
b.
mc001-2.jpg
d.
mc001-4.jpg
 

 2. 

Kendra owns a restaurant. She charges $3.00 for 2 eggs and one piece of toast, and $1.80 for one egg and one piece of toast. How much does Kendra charge for an egg? A piece of toast?
a.
$1.20 per egg; $.60 for toast
c.
$.60 per egg; $.60 for toast
b.
$.60 per egg; $1.20 for toast
d.
$1.20 per egg; $1.20 for toast
 
   
 
What is the solution of the system? Use a graph.
 

 3. 

y = –5x – 2
y + 2 = –5x
a.
mc003-1.jpg
infinitely many solutions
c.
mc003-3.jpg
(0, –2)
b.
mc003-2.jpg
no solutions
d.
mc003-4.jpg
(0, 2)
 
   
 
What is the solution of the system? Use substitution.
 

 4. 

x = –2y + 10
–6y = 6x – 6
z = –3x + 10y
a.
x = 9, y = –8, z = 114
c.
x = –8, y = 114, z = 9
b.
x = –8, y = 9, z = 114
d.
x = 114, y = 9, z = –8
 
   
 
What is the solution of the system? Use substitution.
 

 5. 

mc005-1.jpg
mc005-2.jpg
a.
(–4, –21)
b.
(2, 3)
c.
(–2, –12)
d.
(2, –3)
 

 6. 

The length of a rectangle is 3 centimeters more than 3 times the width. If the perimeter of the rectangle is 46 centimeters, find the dimensions of the rectangle.
a.
length = 5 cm; width = 18 cm
c.
length = 13 cm; width = 8 cm
b.
length = 13 cm; width = 5 cm
d.
length = 18 cm; width = 5 cm
 
   
 
How many solutions does the system have?
 

 7. 

mc007-1.jpg
mc007-2.jpg
a.
one solution
c.
infinitely many solutions
b.
two solutions
d.
no solution
 
   
 
What is the solution of the system? Use elimination.
 

 8. 

5x + 4y = –2
x – 4y = 14
a.
(3, –4.3)
b.
(–3, 2)
c.
(2, –3)
d.
(4, 1)
 
   
 
What is the solution of the system? Use elimination.
 

 9. 

3x = –18 + 4y
16y = 58 + 5x
a.
(3, –2)
b.
(–2, 3)
c.
(–2, 4)
d.
(3, 16)
 
   
 
What is the solution of the system? Use elimination.
 

 10. 

–9.3x + 8.6y = 45.1
7.1x + 1.7y = –17.9
a.
(2, –3)
b.
(7.1, –9.3)
c.
(–2, 3)
d.
(–3, 2)
 
   
 
How many solutions does the system have?
 

 11. 

mc011-1.jpg
mc011-2.jpg
a.
one solution
c.
infinitely many solutions
b.
two solutions
d.
no solution
 

 12. 

You decide to market your own custom computer software. You must invest $3255 for computer hardware, and spend $2.90 to buy and package each disk. If each program sells for $13.75, how many copies must you sell to break even?
a.
196 copies
b.
301 copies
c.
300 copies
d.
195 copies
 


 
 
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