Math 2011 Final Review Sheet
The final exam covers chapters 1 through 4. No graphing/symbolic calculators allowed and
no notes are allowed. You may bring a simple scientific calculator. You may also bring a 5
inch by 7 inch note card with anything on it. Please no microscopes. The test Monday
December 11th at 1pm until 3pm. Don’t be late. Bring photo ID.
Chapter 1: Linear Equations and Functions
§
1.1:
Solutions of Linear Equations and Inequalities in One Variable:
Be able
to solve linear equations, fractional equations, and linear inequalities of one variable.
Be
able to solve any linear inequality. For what case does the inequality change direction? Be
able to state the answer using either and inequality, interval notation, or a number line.
§
1.2:
Functions:
Know what a function is. Know when two functions are the same. Be
able to find both the domain and range of a function. Be able to evaluate a function at a
given number, a variable, a smile face, a tree, or an expression. Be able to find and simplify
the difference quotient. Be able to find various combinations of functions, including
f
(
g
(
x
))
and
g
(
f
(
x
)). How does the domain and range of
f
(
x
) and
g
(
x
) relate to those of
f
(
g
(
x
))?
§
1.3:
Linear Functions:
Know what this is. Be able to find intercepts, both
x
and
y
.
What is the difference between slope and rate of change? What is the slope of a vertical
line? What is
Δ
y
Δ
x
? Be familiar with both pointslope and slopeintercept forms of a line. Be
able to construct lines.
§
1.5:
Solutions of Systems of Linear Equations:
Be able to solve a system of
equations using both elimination and substitution where there are two or three variables.
For systems of two variables, what kind of solutions can we have?
For systems of three
variables, what kind of solutions can we have?
§
1.6:
Applications of Functions in Business and Economics:
Know the definitions
of fixed cost, variable cost, total cost, total revenue, and profit and how they relate to each
other. What is price times quantity? What is negative profit? What happens when total
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 Fall '08
 SMITH
 Math, Derivative, real world, Solutions of Linear Equations and Inequalities

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