Variables
A variable is a symbol used to represent a number. In the
expression 8x + 17 , x is the variable.
An expression or equation may contain more than one variable.
The expression 7 - 3r + 12t
Roots and Radicals
We just saw that roots express fractional exponents. But it is often easier to work with
roots in a different format. When a number or term is raised to a fractional power, the
expr
1.
Evaluate the expression
x = 2.
(A)
(B)
(C)
(D)
(E)
for the value
4
6
8
2. If a is even and negative, b is negative, and c is even, which of the following
choices could be equal to a
(A) 71
(B) 16
(
1. D
This question tests your
understanding of order of
operations, exponents, and
logarithms.
Well solve it step by step. The
numerator simplies to
The denominator is 5, because 25
= 32. So the answ
Logarithms
Logarithms are closely related to exponents and roots. A logarithm is the power to which you must raise a given
number, called the base, to equal another number. For example, log2 8 = 3 bec
This question is a good example of how its not always simple to isolate a variable. (Dont worry about the logarithm
in this problemwell review these later on in the chapter.) However, as you can see,
Scientific Notation
Scientific notation is a convention used to express large numbers. A number written in
scientific notation has two parts:
1 A number between 1 and 10.
2 The power of 10 by which yo
Manipulating Equations
Now that you know how to set up the equation, the next thing to do is to solve for the value that the question asks for.
First and foremost, the most important thing to remember
Writing Equations
For some questions on the Math IC test, youll need to translate the problem from a language youre used toEnglish
into a more useful, albeit less familiar language. Were talking about
Math IC Algebra
Strategies
There are several ways to
answer most algebra problems.
You could try to solve a problem
by using standard algebra and
setting up and solving an
equation. Alternatively, you
To use the picking numbers method, you need to select numbers and plug them into the
answer choices. Youre essentially testing the relationships between the variables in each
given answer and ensuring