A13­6EqAndProbSolv.notebook
September 25, 2015
Algebra 1
Ch.3 Notes Page 20
P20 3­6 Equations and Problem Solving
Sep 2­8:31 AM
Defining Variables
The length of a rectangle is 6 more than its width. The perimeter of the rectangle is 24. What is the length?
Let x = width
P = 2Lengths + 2Widths
Sep 16­8:15 AM
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A13­6EqAndProbSolv.notebook
September 25, 2015
Distance = Rate x Time
A car traveled 2 hours at 55 miles per hour.
How far did it go?
Distance = Time
Rate
Distance = Rate
Time
Sep 13­9:59 AM
Consecutive Integers
Consecutive Integers are Positive and Negative that are next to each other.
Examples: 1,2,3 8,9,10 ­3,­2,­1
Three consecutive integers add up to 30. What are they?
X + (X + 1) + (X + 2) = 30
Sep 13­9:59 AM
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A13­6EqAndProbSolv.notebook
September 25, 2015
Sep 29­7:53 AM
Same Direction Travel
Train 1 Leaves a train station traveling at 72mph. Train 2 Leaves the same station traveling at 90 mph one hour later.
How long will it take Train 2 to catch Train 1?
Solve 72T = 90(T ­ 1)
5 and 4
Sep 13­9:59 AM
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A13­6EqAndProbSolv.notebook
September 25, 2015
Round Trip Travel
Noya averages 15mph on her way to the the computer store. One her way home, she averages 35mph. If the total time is 2 hours, how long does it take her to drive to the computer store?
Solve 15T = 35(2 ­ T)
1.4
Sep 13­9:59 AM
Opposite Direction Travel
Jane and Peter leave their home traveling in opposite directions on a straight road.Peter drives 15mi/hr faster than Jane. After 3 hours, they are 225 miles apart. Find Peter's rate and Jane's rate.
Solve 3R + 3(R + 15)
J=30
P=45
Sep 13­9:19 AM
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