Docstoc

Math Jeopardy_

Document Sample
Math Jeopardy_ Powered By Docstoc
					                Math Jeopardy!
 Order of     Evaluating    Solving    Complex     Simplifying
Operations    Algebraic    Equations   Fractions    Rational
             Expressions                           Expressions

   10           10           10          10           10

   20           20           20          20           20

   30           30           30          30           30

   40           40           40          40           40

   50           50           50          50           50
         Simplify
      2*(4+3) - 6/3
using Order of Operations.
2*(4+3)-6/3=12
         Simplify
        8/4*2+1
using Order of Operations.
8/4*2+1=5
Explain the Order of Operations.
Rules that describe the order that
   addition, subtraction, multiplication,
   and division must be performed.
Order of Operations:
1. Perform operations in parentheses
2. Evaluate Powers
3. Multiply and divide in order from left
   to right
4. Add and subtract in order from left
   to right
        Simplify
    20(2+6)-10(32/4)
using Order of Operations
20(2+6)-10(32/4)=20(8)-10(8)
                =160-80
                = 80
Use your calculator to evaluate
          72(60/5)2-3
Explain how you used Order of
  Operations while using your
           calculator.
72(60/5) 2-3=10365
 Evaluate
   8x-3
when x=1/2.
8(1/2)-3=4-3
        =1
       Evaluate
       4x-1*2
when x=2 and when x=3.
4(2)-2=8-2
      =6
4(3)-2=12-10
      =2
Evaluate
 4(9/x)/x
for x=12.
4(9/12)/12=4(3/4)/12
          =3/12
          =1/4
The dimensions of a rectangle are given
  below. If the x=3 what is the perimeter of
  the rectangle.

               x




                         x+2
Perimeter= x+x+(x+2)+(x+2)
         =2x+2(x+2)
         =2(3)+2(5)
          =6+10
           =16
Kate just bought a cell phone plan that will
 cost $10 each month plus $0.10 for every
 minute she uses the phone. In October, she
 used 45 minutes. How much should she
 expect to pay when she gets the bill for
 October? (Write an equation for the cost, in
 dollars, when she uses x number of
 minutes)
y=0.10x+10
When x=45
  y=14.5
Solve for x.
  x-4=14
x=18
Solve for p.
p-5+54=-1
p+49=-1
   p=-1-49
    =-50
Solve for a.
a+a-8=a+4
a+a-a=4+8
  a=12
Mars is about 48 million miles farther away
 from the Sun than the Earth. Earth is about
 93 million miles from the Sun. How far is
 Mars from the Sun? (Make sure to set up
 an equation involving x the total distance,
 in millions of miles, Mars is from the Sun)
        x-48=93
        x=93+48
         x=141
Mars is 141 million miles
      from the Sun.
Joey is 4 years older than his little brother
  Tim. If the sum of their age is 30. How is
  Joey? How old is Tim? What is the equation
  that tells us this information?
        x+(x-4)=30
          x+x=34
           x=17
So Joey is 17 and Timmy is
             13.
Dividing two fractions is the
          same as…
Multiplying the dividend by
the reciprocal of the divisor.
            Simplify
          (1/3)/(2/4)
In other words what is one third
     divided by two fourths?
(1/3)/(2/4)=(1/3)*(4/2)
           =4/6
           =2/3
            Simplify
            7/(2/3)
In other words, what is 7 divided
          by two thirds?
7/(2/3)=7*(3/2)
       =21/2
          Simplify
          (5/2)/6
In other words, what is five
    halves divided by 6?
(5/2)/6=(5/2)*(1/6)
       =5/12
What is a complex fraction? What are the
 steps we should take to simplify a complex
 fraction?
A complex fraction is a
  fraction in which the
     numerator, the
denominator, or both are
        fractions.
   Simplify
(6/m)-(3/2m)
  (6/m)-(3/2m)
=(12/2m)-(3/2m)
     =9/2m
What is a rational expression?
An algebraic expression that
     contains terms (e.g.
   x,4,(1/2)x) separated by
   operations (e.g. +,-,*,/).
 Rational expressions can be
 simplified by collecting like
            terms.
  Simplify
(3x/6)+(x/4)
(3x/6)+(x/4)
 =(12x/24)+(6x/24)
 =(18x/24)
   =3x/4
  Simplify
(6/4s)*(2/3)
(6/4s)*(2/3)
  =12/12s
    =1/s
Stacy drove ¼ of the way to Atlanta in one
  day. The next day she drove 3/5 of the
  remaining distance. How much farther
  does she have to drive?
         She has driven
        (1/4)+(3/5)(3/4)
          =5/20+9/20
         =14/20 =7/10
This means she has 3/10 of the
   total distance left to travel.

				
DOCUMENT INFO
Shared By:
Categories:
Stats:
views:8
posted:4/20/2011
language:English
pages:51