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Contents

Word Definition
Language Translation
Mathematical Equation
Short Poem
Grammar And Vocabulary

Word Defintion


Language Translation


Mathematical Equation

  1. The Square of a Binomial
    Example: (2x+5y)2
    Solution: (2x+5y)(2x+5y) = 4x2+20xy+25x2
  2. Factoring the Difference
    Example: (a+b)2-c4
    Solution: (a+b)2-c4 = (a+b)2-(c2)2 = (a+b+c)(a-b-c)
  3. Factoring by Grouping Terms
    Example: 6xy-8x+9y=12
    Solution:6xy-8x+9y=12 = (6xy-8x)+(9y-12) = 2x(3y-4)+3(3y-4) = (3y-4)(2x+4)
  4. Factorable Trinomials
    Example: x2-8xy+16y2
    Solution: x2-8xy+16y2 = (x)2-2(x)(4y)+(4y)2 = (x-4y)2
  5. Multiplication of Functions
    Formula: fg(x)= [{f(x)}{g(x)}] ; x=-3
    Example: f(x)= 3x-5 ; g(x)= x2-2
    (fg)(-3)
    (fg)(-3)= [(3)(-3)-5][(-3)2-2]
    (fg)(-3)= (-9-5)(9-2)
    (fg)(-3)= (-14)(7)
    (fg)(-3)= -8

Short Poem

All Because You Kissed Me Goodnight
Sandy Roistan
I climbed the door, and opened the stairs, 
Said my pajamas and put on my prayers, 
Then turned off the bed and crawled into the light, 
All because you kissed me goodnight.
Next morning, I woke and scrambled my shoes, 
Polished my eggs and toasted the news, 
I couldn’t tell my left from my right, 
All because you kissed me goodnight.
That evening at last, I felt normal again, 
So I picked up my mother, and called up the phone, 
I spoke to the puppy and threw dad a bone 
Even at midnight, the sun was still bright, 
All because you kissed me goodnight.

Grammar and Vocabulary

  1. Who's means who is; whose shows possession.
    Incorrect: Whose going to the ball game?
    Correct: Whose Who's going to the ball game?
  2. Instead of saying read where, say read that.
    Incorrect: I read where Greg was going to play.
    Corrcet: I read where that Greg was going to play.
  3. Use as not like, as a conective between clauses.
    Incorrect: He decided to do it like you suggested.
    Correct: He decided to do it like as you suggested.
  4. Bet means to wager. The past tense of beat is the same as the present tense.
    Incorrect: Yesterday they bet us at tennis.
    Correct: Yesterday theybet beat us at tennis.
  5. Subordinate one of the ideas by turning it into a dependent clause.
    Incorrect: I could not eat lunch I was thinking about the wonderful dinner.
    Correct: Icould not eat lunch because I was thinking about the wonderful dinner.