Equations and Problem Solving

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Equations and Problem Solving
ALGEBRA 1 LESSON 2-5
(For help, go to Lesson 1-1.)
Write a variable expression for each
situation. 1. value in cents of q
quarters 2. twice the length 3. number of
miles traveled at 34 mi/h in h hours 4. weight
of 5 crates if each crate weighs x
kilograms 5. cost of n items at 3.99 per item
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Equations and Problem Solving
ALGEBRA 1 LESSON 2-5
Solutions
1. value in cents of q quarters 25q 2. twice the
length 2 3. number of miles traveled at 34
mi/h in h hours 34h 4. weight of 5 crates if
each crate weighs x kilograms 5x 5. cost of n
items at 3.99 per item 3.99n
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Equations and Problem Solving
ALGEBRA 1 LESSON 2-5
The width of a rectangle is 3 in. less than its
length. The perimeter of the rectangle is 26 in.
What is the width of the rectangle?
Relate The width is 3 in. less than the length.
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Equations and Problem Solving
ALGEBRA 1 LESSON 2-5
The sum of three consecutive integers is 72.
Find the integers.
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Equations and Problem Solving
ALGEBRA 1 LESSON 2-5
An airplane left an airport flying at 180 mi/h.
A jet that flies at 330 mi/h left 1 hour later.
The jet follows the same route as the airplane on
parallel altitudes. How many hours will it take
the jet to catch up with the airplane?
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Equations and Problem Solving
ALGEBRA 1 LESSON 2-5
(continued)
.
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Equations and Problem Solving
ALGEBRA 1 LESSON 2-5
Suppose you hike up a hill at 4 km/h. You hike
back down at 6 km/h. Your hiking trip took 3
hours. How long was your trip up the hill?
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Equations and Problem Solving
ALGEBRA 1 LESSON 2-5
Two jets leave Dallas at the same time and fly
in opposite directions. One is flying west 50
mi/h faster than the other. After 2 hours, they
are 2500 miles apart. Find the speed of each jet.
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Equations and Problem Solving
ALGEBRA 1 LESSON 2-5

• 1. The sum of three consecutive integers is 117.
  Write an equation that represents the problem.
• You and your brother started biking at noon from
  places that are 52 mi apart. You rode toward each
  other and met at 200 p.m. Your brothers average
  speed was 4 mi/h faster than your average speed.
  Write an equation that represents the problem.
• Joan ran from her home to the lake at 8 mi/h. She
  ran back home at 6 mi/h. Her total running time
  was 32 minutes. Write an equation that represents
  the problem.

X (x1) (x 2) 117
2 v 2 (v 4) 52
8t 6(32 t)
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