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# TIU Math2 Session: Algebra by Young Einstein Learning Center

## by youngeinstein on Oct 26, 2011

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TIU Math2 Session: Algebra...

TIU Math2 Session: Algebra
by Young Einstein Learning Center

www.yeinstein.com

College Entrance Test Review

Topics:
Absolute Value
Algebraic Expressions
Addition / Subtraction / Multiplication / Division of AE's
FOIL method

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## TIU Math2 Session: Algebra by Young Einstein Learning CenterPresentation Transcript

• Math, Session 2TIU College Entrance Test Review
•  What is the distance  What is the distance between 15 and 0? between -8 and 0? 8 15  What is the distance What is the distance between -30 and 50? between 21 and 46? 80  What is the distance 25 between -12 and -5? 7 WHAT IS THE DISTANCE BETWEEN ANY NUMBER X AND Y?
•  |9|= 9 | -4 | = 4 Absolute value is the same number, in positive form. What is the distance between 15 and 0? Is it | 15 – 0| or | 0 – 15| ? 15 0 0 15 15 15 15 15
• Distance = | X – Y | = | Y – X | What is the distance between -8 and 0? Answer: | -8 -0 | or | 0 - -8 | 8 0 0 8 8 0 8 8 8 8
• 7 5 12 9 6 15Rule for addition of signed numbers of the samesign: Add the numbers and prefix the common sign. 8 9 1 25 17 8Rule for addition of signed numbers of differentsigns: Subtract the numbers and prefix theSign of the number with the larger value.
• 4 8 4 13 8 5Rule for subtraction of signed numbers:Change the operation to addition, and changeThe sign of the second number.Then perform as in addition of signed numbers.
• 42 121 7 6 11 11 8 4 32 63 7 9Rule for two numbers with the same sign:The product/quotient of the two will be positive.
• 56 4 9 36 7 8 The rule for two numbers of different signs: The product/quotient of the two will be negative.
• 2 4 14 8 3 24 2 71.) Solve by disregarding signs.2.) Do cancellation when possible.3.) Count the negative signs. If even  result is positive If odd  result is negative
• 3! 3 2 1 In general, n! n (n 1) (n 2) (n 3)... 1 Therefore, 5! =? 5! 5 4 3 2 1 120
• Math, Session 2, Algebra
•  Evaluate the following expression for x = 4: 2 x 2x 1 2 4 2 4 1 16 8 1 23
•  We can only add or subtract like terms. x x 2x 5y 2y 3y 3w 2 x 4w 9 x w 11x Is the answer 11x –w also correct? YES!
• 23ab 5a 6ab 2b 9a 4b We can only add/subtract like terms. The simplified form of the AE above is: 2 3ab 2b 14a 4b
•  We use the laws of exponents. 5 y y y y y y Some examples: 2 x x x 2 3 5 x x x x x x x x 2 3 2 2 2 6 x x x x x
• 7x x x x x x x x 4 3 xx x x x 0x 1 2 1x 2 x
•  Master multiplication of simple terms 3 2 5 3x 5x 15x 3 techniques to multiply (x+a)(x+b) ◦ Distributive Property of Multiplication over Addition ◦ F-O-I-L Method ◦ Column Format
•  Technique 1: DPMAx 2 x 3 x 2 x x 2 3 2 x 2x 3x 6 2 x 5x 6
• x 2 x 3First x2 2Outer 3x x 5x 6Inner 2xLast 6 Answer
• x 2 x 3 3x 6 2x 2 x ___ 2x 5x 6
•  Youcan use DPMA and the Column Format to multiply not only binomials, but also trinomials and AE’s with many terms.