1. Successful and unsuccessful people do not vary greatly in their abilities. They vary in their desires to reach their potential.
John Maxwell
It is not the strongest of the species that survive, nor the most intelligent, but the one most responsive to change.
Charles Darwin
Many of life's failures are people who did not realize how close they were to success when they gave up.
Thomas A. Edison

2. Review #2
Algebra Review

3. The origin corresponds to the real number zero.
Real Number Line
A real number that corresponds to a particular point on the number line is called a coordinate.
The origin corresponds to the real number zero.
The correspondence between points on a line and the real numbers is called a coordinate system.

4. Inequalities a < b “ Less than “ a > b “ Greater than”
a = b “ Equal to “

5. Graphing Inequalities
Graph the following inequalities on the number line.

6. Absolute Value The distance from zero on the number line.
The absolute value of a real number a is denoted by the symbol |a|.

7. The distance between two points P and Q is denoted by d(P,Q) = |b – a|.
Let P, Q, and R be points on the number line with coordinates –7, 4, and –3 .
1. Find the distance between P and Q.
2. Find the distance between Q and R..

8. Write an equivalent expression without using absolute value bars.

9. Evaluating Expressions
Substitute each value for the variable using a grouping symbol
Follow all order of operations
Simplify your answer

10. Evaluate each expression, if x = 4, y = –2, and z = 3

11. Domain of A Function
In order to find the restriction(s) on the domain of a variable set the denominator not equal to zero and solve.

12. Properties of Exponents
Product of Powers
Quotient of Powers
Power of A Power
Power of A Product
Power of A Quotient
Negative Exponents

13. Properties of Exponents
Simplify each expression
Express the answer so that all exponents are positive

14. Properties of Exponents
Simplify each expression
Express the answer so that all exponents are positive

15. Square Roots
A real number is squared when it is raised to a power of 2. The inverse of squaring is finding a square root.
Negative numbers do not have square roots
The principal square root of 0 is 0
The principal square root of a + number is +

16. Simplify each expression
Square Roots
Simplify each expression

17. Scientific Notation
When a number has been written as the product of a number x, where
1 < x < 10, times a power of ten, it is said
to be written in scientific notation

18. Write each number in scientific notation
Write each number in decimal notation