Directions for Chapter 1 Review Notes
1.) Do not write down the notes written in red. They are
instructions for you to follow.
2.) Copy down the notes from the book onto your copy
a. Examples
b.Work
c. Highlight where required
For full credit, do not leave anything out. Highlight wherehighlighted and complete all required work indicated in red.Neatness counts so write clear and legible. These are dueFriday the 12th.
Chapter 1 Review Notes
(1-1 ) Pg.4-5 Variable Letter that represents an unknown quantity
Algebraic Expressions Mathematical phrase that includes numbers, variables,
and operation symbols (+,-,x,+)
Writing Algebraic Expressions a.) Seven more than n. b.) The difference of nand 7..: 7 less than n
I~ c.) Product of 7 and n. (each,per) d.) The quotient of nand 7
o{ 1v .r: \.UV' (\\C\ ' l: e.)Two times a number plus 5 f.) 7 less than three times number
( lv\ \: {\L.\ ~«/..\C\\'...I (1 • \\1 I g.) Twice a number (doubled) h.) A number times itself .....
\n \ \)J ~ .ei 1""\~' ~\-'J Word problems: J}.) Bob's media sells CD's for $12 each. Which equation
Pg.6-7 ( represents the cost "c" of a given number of CD's "n."?
\ ,4{Y-) i a.) 12+c=n b.) n+12=c c.)12c=n d.) c=12n\:)\V \. ---
i.) Write an equation for: change is $20 minus cost.
C= change and x =amount of purchase (cost)
W(\~~@DnCost change
20 0 e.a IanJi·.n ~--=fL\ l i\r\ l:()~+rcham 19 1 ""
~h(l(+ u 17.50
,
(1-2) Pg.9 Exponents 24 _22 vs (_2)2
Importance of ( ) !!! 2· 2·2·2
16
PEMDAS Ex 1: simplify 25 - 8 ·2 + 32 Ex. 2: 2[(13-7)2 +3]
Rewrite the problem after
each step to show your work
"J0~~~tS':JO';;'~\\,./
Evaluate Ex 3: Evaluate for a=7 and b=4 3a _23+ b
Plug in the given info using ( )
and then simplify using PEMDAS
(1-3) Pg. 17 R~AL NUMBERS
V;C; / Natural Numbers 1,2,3, .....
\JOV:',,~~ Whole Numbers\ \'tN, Integers- \/ - \~\\\ '0'-" \ Rational Numbers
Real Numbers U1
{Irrational Numbers
(~
Absolute value Always positive,
• Solve inside the I I before Ex.1: 1-7 I Ex.2: 14 -12 I Ex.3: 7-1-13+81
\\l~~-
finding the A.V.
\ tL\\ ADD/SUBT REAL NUMBERS
Additive Inverse "opposite" 2 ..... -2 -5........ 5
.0~Ov Adding wI same sign ,,+~- ~9+(--Z)-=-«.#,S,
~\V Adding wI different signs -,~ .••22= 1'1 +/-)q) :..•.
~~' Subtracting a negative .5 - (-e):.. .:. ~ - (- 121 :0 ~ .. ~
~s\}l~ \ MUL T/DIV REAL NUMBERS
Mult.lDiv with same sign Positive
Mult.lDiv with different sign Negative
• exponents( Even # of neg. = p•..••(_1)4=
<;o\V~ ., Odd # of neg. = N"':::\(_1)7=\.. ~
Simplifying Exponential Ex: -;:,_34= Opposite of 34 =
expressions E¥ ~(_3)4 = -3 times itself 4 times. =V I -
'i:P\~ •..
1; Evaluate Ex: -2xy for x=-20 and y=-3 Ex: -x +2y+r for x=-20 y=6 r=-1, ,-4\}9
0\Jbrv...O'
l~\~D .
Inverse Property of Multiplication I 1 \, "tt4 )-1*multiply by reciprocal to equal 1.
Compound Fractions
"double fractions" 4 ~ • 3
I
DISTRIBUTIVE PROPERTY 3{t]D+~)Multiply the term on the outside Ex:l~' 2 (ID5) I ,.
by each term on the inside 12 ( /OD..f. 5)
~ r- Distributing a negative
t.I \ r
Multiply each term by -1 r \ I ,
VOCABULARY 00~41 ( 1- r-r ) 6a2- 5ab - 3b -12
Coefficient:
Constant:
Like Terms:
Combining Like Terms:
Quantity:
5L PROPERTIES OF NUMBERS
) Commutative Property of Addition EX. Bt'J -::..~~3O~h c..b+<A
Commutative Property of Multiplication EX.
Associative Property of Addition EX.
Associative Property of Multiplication EX.
Identity Property of Addition EX.
.Identity Property of Multiplication EX.
Inverse Property of Addition EX.
Inverse Property of Multiplication EX.
Symmetric Property EX.
Distributive Property EX.
Multiplication Property of Zero EX.
Multiplication Property of-1 EX.
