LESSON 14 FROM PROBLEMS TO EQUATIONS PROBLEMS TO
LESSON 14: FROM PROBLEMS TO EQUATIONS
PROBLEMS TO EQUATIONS • Many problems can be transformed into equations • To transform them you must:
PROBLEMS TO EQUATIONS • Step 1 – Identify the unknown quantity or quantities
PROBLEMS TO EQUATIONS The sum of Claude and Jean’s ages is 52 years. Jean is 10 years older than twice Claude’s age. Determine Claude and Jean’s ages. What THINGS are we talking about? ? ?
PROBLEMS TO EQUATIONS • Step 2 – Represent each unknown with a variable or algebraic expression
PROBLEMS TO EQUATIONS The sum of Claude and Jean’s ages is 52 years. Jean is 10 years older than twice Claude’s age. Determine Claude and Jean’s ages. Claude Jean
PROBLEMS TO EQUATIONS • Step 3 – Form an equation
PROBLEMS TO EQUATIONS The sum of Claude and Jean’s ages is 52 years. Jean is 10 years older than twice Claude’s age. Determine Claude and Jean’s ages. Claude Jean
PROBLEMS TO EQUATIONS • Step 4 – Solve
PROBLEMS TO EQUATIONS • Step 5 – Express and verify the solution Claude Jean
PROBLEMS TO EQUATIONS • Verify
PROBLEMS TO EQUATIONS 2. Petra is 7 years younger than her brother Ivan. Together, their ages total 43 years. How old is Petra? Petra Ivan
PROBLEMS TO EQUATIONS 2. Petra is 7 years younger than her brother Ivan. Together, their ages total 43 years. How old is Petra?
PROBLEMS TO EQUATIONS 2. Petra is 7 years younger than her brother Ivan. Together, their ages total 43 years. How old is Petra? Petra Ivan
PROBLEMS TO EQUATIONS 3. There are 43 marbles in a box. Some of the marbles are yellow, and the rest are blue. There are 9 more yellow marbles than blue marbles. How many blue marbles are in the box? Yellow Blue
PROBLEMS TO EQUATIONS Blue Yellow There are 17 blue marbles in the box
PROBLEMS TO EQUATIONS 4. Twice a number increased by three is the same as four less than three times the same number. What is the number?
PROBLEMS TO EQUATIONS
PROBLEMS TO EQUATIONS h b
PROBLEMS TO EQUATIONS h b
PROBLEMS TO EQUATIONS 6. The sum of 3 consecutive odd numbers is 147. What are these numbers? n 1 n 2 n 3
PROBLEMS TO EQUATIONS
PROBLEMS TO EQUATIONS 6. The sum of 3 consecutive odd numbers is 147. What are these numbers? n 1 n 2 n 3 The numbers are 47, 49 and 51
PROBLEMS TO EQUATIONS 7. A number is 3 more than twice another number. The difference of these numbers is 75. What are the two numbers? n 1 n 2
PROBLEMS TO EQUATIONS 7. A number is 3 more than twice another number. The difference of these numbers is 75. What are the two numbers?
PROBLEMS TO EQUATIONS 7. A number is 3 more than twice another number. The difference of these numbers is 75. What are the two numbers? n 2 n 1 The numbers are 147 and
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