Math Jeopardy_

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```					                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
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
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.

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