Algebra 1
Ch.3 Notes Page 11
P11 36 Equations and Problem Solving
Defining Variables
The length of a rectangle is 6 more than its width. The perimeter of the rectangle is 24. What is the length?
P = 2Lengths + 2Widths
Let x = width
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Consecutive Integers
Consectutive Integers are Positves or Negatives 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
Three consecutive ODD integers add up to 39.
What are they?
X + (X + 2) + (X + 4) = 39
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Distance = Rate x Time
A car traveled 2 hours at 55 miles per hour.
How far did it go?
Distance = Rate
Time
Distance = Time
Rate
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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)
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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)
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5 and 4
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1.4
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)
HW #11
36 P162 #18,10,12,14,3140
Please put your name and class period at the top of the homework.
Also include the homework number.
J=30
P=45
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