Equations and Problem Solving

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Equations and Problem Solving
ALGEBRA 1 LESSON 2-7
(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 sum of three consecutive integers is 72.
Find the integers.
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Equations and Problem Solving
ALGEBRA 1 LESSON 2-5
(continued)
x x 1 x 2 72
3x 3 72 Combine like terms.
If x 23, then x 1 24, and x 2 25. The
three integers are 23, 24, and 25.
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Equations and Problem Solving
ALGEBRA 1 LESSON 2-5
1. The sum of three consecutive integers is 117.
Find the integers. 2. 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. Find both
speeds. 3. 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. How much time did it
take Joan to run from her home to the lake?
38, 39, 40
your speed 11 mi/h brothers speed 15 mi/h
about 13.7 minutes
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