Systems of Equations &
Inequalities, Polynomials & Polynomial Functions
Name:
______________________________ Student ID: _______________________
Instructions: Print this “Take Home
Test”, and solve all problems using Blank
Papers. Please show your work completely, and post them in the discussion forum on Canvas befoer the due date.
- If the
system of linear equations results in 2 parallel lines, the
system is ________, if the system of linear equations results in 2 intersecting
lines, the system is ________, and if the system of linear
equations results in a single line, the system is ________
- Solve
the system of equations.
a)
b)
- Graph
the solution to the system of inequalities. Indicate the boundary lines
and the test points.
- A chemistry lab assistant wants to prepare 10 liters of 48% acid solution. In stock he has 80% and 40% acid solutions. How many liters of each in stock solution should he mix to prepare a 10-liter mixture? (Set up a system of equations and solve.)
- A plane can travel 800 miles per hour with the wind and 720 miles per hour against the wind. Find the speed of the wind and the speed of the plane in still air. (Set up a system of equations and solve.)
- Admission tickets to the Braden River Little League all-star game cost $4.00 for adults and $1.50 for children. A total of 225 tickets were sold and a total of $500 was collected from ticket sales. How many adult tickets and how many children’s tickets were sold? (Set up a system of equations and solve.)
- Simplify.
a)
b)
c)
- Simplify
and write the answer with positive exponents only.
a)
b)
c)
d)
- What
is the degree of each polynomial?
a)
b)
- Factor
completely.
a)
b)
c)
d)
e)
f)
g)
(By Grouping) 
h)
(By Substitution) 
- Solve
by factoring.
a)
b)
- Subtract
(
) from ( 
).
- Multiply.
a)
b)
c)
- Find
all the x-intercepts of the graph of the equation:
- One
leg of a right triangle is 4cm less than the other leg. The area of the
triangle is 70 sq cm. Determine the length of each leg.
- Divide:
a)
b) 