7, OR 9. YOU CAN IDENTIFY A FEW HELPFUL PATTERNS ABOUT EVEN AND ODD...

5, 7, or 9. You can identify a few helpful patterns about even and odd numbers that often arise on the Quan-titative section:odd + odd = even odd×odd = oddeven + even = even even×even = eveneven + odd = odd even×odd = even

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A R I T H M E T I C

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When problems arise that involve even and odd numbers, you can use substitution to help rememberthe patterns and make the problems easier to solve.

C o n s e c u t i v e I n t e g e r s

Consecutive integers are integers listed in numerical order that differ by 1. An example of three consecutiveintegers is 3, 4, and 5, or –11, –10, and –9. Consecutive evenintegers are numbers like 10, 12, and 14 or –22,–20, and –18. Consecutive oddintegers are numbers like 7, 9, and 11. When they are used in word problems,it is often useful to define them as x,x+ 1,x+ 2, and so on for regular consecutive integers and x,x+ 2, andx+ 4 for even or odd consecutive integers. Note that both even and odd consecutive integers have the samealgebraic representation.

A b s o l u t e Va l u e

The absolute value of a number is the distance a number is away from zero on a number line. The symbolfor absolute value is two bars surrounding the number or expression. Absolute value is always positive becauseit is a measure of distance.|4| = 4 because 4 is four units from zero on a number line.|–3| = 3 because –3 is three units from zero on a number line.

O p e r a t i o n s w i t h R e a l N u m b e r s

For the quantitative exam, you will need to know how to perform basic operations with real numbers.IntegersThis is the set of whole numbers and their opposites, also known as signed numbers. Since negatives areinvolved, here are some helpful rules to follow.

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