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Lesson: 1- 5 A Plan For Problem Solving

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1 Lesson: 1- 5 A Plan For Problem Solving
Applied Algebra B Lesson: 1- 5 A Plan For Problem Solving Objective: Learn to use a four-step plan to solve problems.

2 Four Step Plan Explore Plan Solve Examine Read the problem
Select a strategy for the problem Solve Use your strategy Examine Check your answer.

3 Formula An equation that states a rule for the relationship between quantities. Name a formula you know.

4 Interest I = prt Interest formula I = interest p = principal
r = interest rate, written as a decimal t =time in years

5 Example I = prt $253 after 5 years.
Suppose you deposit $220 into an account that pays 3% simple interest. How much money would you have in the account after 5 years? Explore: what do we know? I = prt Plan: what to do to solve Solve: work out the problem I = 220(0.03)(5) Check: is the answer reasonable? I = 33 $253 after 5 years.

6 On your Own User F = 1.8C + 32 to change degrees Celsius C to degrees Fahrenheit F. Find the temperature in degrees Fahrenheit if it is 29 degrees C. F = 1.8(29) + 32 = = 84.2 84.2 degrees Fahrenheit

7 Example There are 12 ways to make 25¢
How many ways can you make 25¢ using dimes, nickels, and pennies? Coin Number Dimes 2 1 Nickels 3 5 4 Pennies 10 15 20 There are 12 ways to make 25¢

8 Property Summary Commutative Associative Identity a + b = b + a
(a + b) + c = a + (b + c) (ab)c = a(bc) Identity a + 0 = 0 + a = a a*1 = 1*a = a

9 Property Summary Zero Distributive Substitution a*0 = 0*a = 0
a(b + c) = ab + ac a(b – c) = ab – ac Substitution If a = b then a may be substituted for b

10 Homework Pg – 8 all, 10 – 24 E


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