GRE Agenda

1
GRE Agenda
2
Agenda

• Arithmetic Review
• Algebra Review
• Geometry Review
• Data Analysis Review
• Break
• Practice

3
GRE Review

• Arithmetic

4
Arithmetic

• Integers
• Fractions
• Exponents and square roots
• Scientific Notation
• Percent Change
• Ratio
• Absolute Value

5
Integers

• -3,-2,-1,0,1,2,3

6
Fractions

• Adding Fractions
• Must get a common denominator when adding or
  subtracting fractions
• Multiplying Fractions
• Top times top-bottom times bottom
• Dividing Fractions
• Invert the 2nd term and multiply

7
Exponents and Square Roots
8
Basic exponents

• The exponent just tells us how many times to
  multiply the base by itself.
• e.g. 43 (4)(4)(4)64

9
Negative Exponents

• The negative exponent just flips the base.
• e.g.

We will see more of the exponent properties in
the algebra review.
10
Square Roots

• Product of Square Roots
• e.g.
• Quotient of Square Roots
• e.g.
• Simplifying Square Roots (removing a perfect
  square factor)
• e.g.

11
Square roots misc.

• Helpful to know some of the approximate values
  for square roots

Also, it is useful to know a square roots
relative position among other integers. That is,
is a little less that , so a little
less than 4. (In fact, it is 3.87, not one worth
memorizing though.)
12
Scientific Notation
13
Objectives

• Students will be able to
• Understand how to convert from standard notation
  to scientific notation

Convert 320,000,000 to scientific notation
320 000 000
3.2 x 108
Moved 8 places to the left
14
Objectives

• Students will be able to
• Understand how to convert from standard notation
  to scientific notation

Convert 0.000 00054 to scientific notation
0.000 00054
5.4 x 10-7
Moved 7 places to the right
15
Objectives

• Students will be able to
• Understand how to convert from scientific
  notation to standard notation

Convert 7.105 x 106 to decimal notation
7105
0
0
0
Move the decimal 6 places to the right.
16
Objectives

• Students will be able to
• Understand how to convert from scientific
  notation to standard notation

Convert 4.05x 10-3 to decimal notation
4.05
0
0
0
Move the decimal 3 places to the left.
17
Percent Change
18
Percent Increase/Decrease

• Suppose we increased sales from 75 in 2007 to
  100 in 2008. What is the percent increase in
  sales from 2007 to 2008?
• Subtract the two and divide by the original.
• Suppose we decreased in sales from 170 in 2007
  to 100 in 2008. What is the percent decrease in
  sales?

So 33.3 increase
So about 14 decrease
19
Ratio

• If the ratio of boys to girls is 15 to 5, we can
  express this as a fraction
• We can reduce this to get
• This can be written as 3 to 1 or 31

20
Absolute Value

• The absolute value of a number is always the
  positive of that number.
• e.g.