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Solving Systems of Equations

Standard 8.0: Students understand the concepts of parallel lines and perpendicular lines and how their slopes are related.
Students are able to find the equation of a line perpendicular to a given line that passes through a given point.
1.

Confident

Unsure
Which of the following is NOT
parallel to the line
 


 

Show your work here…



 

LEVEL
(teacher
use only)

 

Correction/Reflection
(do not fill in on test day)


 

       
2.

Confident

Unsure
Write an equation for a line
perpendicular to and
through the point (0, 2).
Show your work here…

 

 

LEVEL
(teacher
use only)

 

Correction/Reflection
(do not fill in on test day)


 

Standard 9.0: Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer
graphically.
3.

Confident

Unsure
What is the solution to the system of
equations below?

Show your work here…

 

 

LEVEL
(teacher
use only)

 

Correction/Reflection
(do not fill in on test day)


 

       
4.

Confident

Unsure
Solve the system below

3x + 5y = 2
6x + 4y = 2
Show your work here…



 

LEVEL
(teacher
use only)

 

Correction/Reflection
(do not fill in on test day)


 

5.

Confident

Unsure
Which graph below represents the
system

Explain answer here…

 

 

LEVEL
(teacher
use only)

 

Correction/Reflection
(do not fill in on test day)


 

       
6.

Confident

Unsure
Is the point (-4, 15) a solution to the
system
below

a) yes
b) No

Show work here…

 

 

LEVEL
(teacher
use only)

 

Correction/Reflection
(do not fill in on test day)


 

       
7.

Confident

Unsure
Solve the system below

x + y = 6
x + 4y = 3
Show work here…

 

 

LEVEL
(teacher
use only)

 

Correction/Reflection
(do not fill in on test day)


 

8.

Confident

Unsure
Interpret what the graph of the
system
below will look like

y = 4x + 1
-8x + 2y = 16


a) they are the same line

b) the lines will be parallel

c) the lines will intersect in
one point
Show work here…

 

 

LEVEL
(teacher
use only)

 

Correction/Reflection
(do not fill in on test day)


 

       
9.

Confident

Unsure
How many solutions can a
system of equations have?


 

  LEVEL
(teacher
use only)

 

Correction/Reflection
(do not fill in on test day)


 

Standard 15.0: Students apply algebraic techniques to solve rate problems, work problems, and percent mixture problems
10.

Confident

Unsure

 
A bus leaves East LA traveling
west at 60 mph. One hour later a
car leaves East LA traveling the
same direction on the same road
at 65mph. How far from East LA
will the faster car pass the slower
car?
Show your work here…

 

LEVEL
(teacher
use only)
Correction/Reflection
(do not fill in on test day)
 
     
11.

Confident

Unsure
Marcy has a total of 100 coins. If
the total value of the coins is
$14.05 and she has only dimes
and quarters, how many quarters
does she have?

a) 27

b) 40

c) 56

d) 73
Show your work here…

 

 

LEVEL
(teacher
use only)

 

Correction/Reflection
(do not fill in on test day)


 

       
Standard 4.0: Students simplify expressions before solving linear equations and inequalities in one variable , such as 3(2x – 5) +
4(x – 2) = 12.
12.

Confident

Unsure
Which equation is equivalent to
4x + 3(2x – 1) = 10 – 5x + 8


a) 6x – 1 = 18 – 5x

b) 6x – 3 = 2 – 5x

c) 10x – 3 = 18 – 5x

d) 10x – 1 = 18 – 5x
Show work here…

 

 

LEVEL
(teacher
use only)

 

Correction/Reflection
(do not fill in on test day)


 

       
13.

Confident

Unsure
Which equation is equivalent to
3(4 – 3x) = 5 – 2(1 – 3x)


a) No solution

b) 6x = 7

c) -18x = 15

d) 9 = 15x
Show work here…

 

 

LEVEL
(teacher
use only)

 

Correction/Reflection
(do not fill in on test day)


 

       
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