Algebra Unit 5 Test A
Name:______________
Per:___ Date:___
To earn a “C” you must be able earn a “P” on Essential Skills
To earn a “B” or “A” you must earn at least a “P” on all skills (More “M”s than “P”s for an “A”)
Essential Skill - 5A
Solve a system of linear equations through graphing.
N
T
(R)
P
M
Graph the following systems:
1)
y  1 2x
R
S
Ty  3x  1
5
y
2)
3)
5
x
-5
-5
5
Complete the following problem to yshow
5
mastery:
y
3
2
4)
x
What is the
Solution to the
-5
system of equations?-5
y
What is the
Solution to the
system of equations?
-5
-5
5
5
x
What is the
Solution to the
system of equations?
y  3.5x
R
S
Ty  5  x
y  3x  3
R
S
Ty  2  3x
5
3y  6x  6
R
S
T4 y  8  8x
-5
What is the
-5
Solution to the
system of equations?
x
5
Essential Skill – 5B
Solve a system of linear equations through substitution.
N
T
(R) P
M
Use substitution to find the solution (x, y) of the following systems of equations:
5)
y  3x  6
R
S
Ty  1  2 x
6)
y  4x
R
S
T10x  2 y  6
Complete the following problem to show mastery:
7)
y  2x  3
R
S
T2 y  4 x  10
8)
4 y  8x  8
R
S
T2 y  4  4 x
Essential Skill 5C
Solve a story problem that involves systems of equations and interpret the
systems solution appropriately.
N
T
(R) P
M
9)
Sean and Javan are training for Muay Thai. When they start Sean can do 10 push ups and
Javan can do 17. Each day Sean does 2 more push ups than they day before and Javan does one
more than the day before.
(Make a table or graph to find the answer to show proficiency. To show mastery, write
equations for each person and find the answer using your equations)
After how many days can they do the same number of push ups?
How many can they do?
10)
Tyler and Liz were growing flowers. They measured the growth of their flowers in inches
each day and found that the equation for Tyler’s flower was y  15
. x  3 and the equation for
Liz’s flower was y  2 x  1. They used substitution to find when their flowers were the same
height and got the solution (4, 9). Explain what this solution tells us about their flowers:
Skill - 5E
Determine whether a system of equations has zero, one or an infinite number of solutions.
N
T
(R)
P
M
Draw a second line on the graph that creates the following number of solutions:
15)
One Solution:
5
16)
y
5
No Solution:
y
5
Infinite Solutions:
5
x
-5
-5
17)
y
x
-5
-5
x
-5
-5
5
5
How many solutions do the following systems of equations have?
18)
y  2  4x
y  5x  3
This system has __________ solutions.
How do you know?
19)
y  2x  3
y  2  2 x
This system has __________ solutions.
How do you know?
Complete the following problems to show mastery:
20)
y  5x  4
2 y  6  10 x
This system has __________ solutions.
How do you know?
21)
y  .5x  2
x  2y  4
This system has __________ solutions.
How do you know?