1. Basic Algebraic Applications
Day 2

2. Steps for Solving Basic Algebraic Applications
Read the Problem
What are they asking? Define Unknowns and variables
What operations do you have? Key concepts and operations
Set up the problem
Solve the equation
Verify that you answered the question correctly. (Does your answer make sense?)
Check your answer

3. Solving Algebraic Applications
Is about …
Solving word problems with unknown values.
Procedures
Application 1.
Read the problem 1.
Find two consecutive integers whose
sum is 45
two consecutive integers
sum is 45 2.
What are they asking?
Define Unknowns and variables 2.
Two consecutive integers are needed.
1st integer (a) and 2nd integer (a +1).
Two consecutive integers 3.
What operations do you have?
Key concepts and operations 3.
two consecutive integers, sum (+), is(=), 45
two consecutive integers
sum is 45 4.
Set up the problem.
Draw figure if necessary.. 4.
1st integer + 2nd integer = 45
a (a + 1) = 45

4. ☺ Solve the equation a + (a + 1) = 45 2nd integer = a + 15.
Solve the equation 5.
a + (a + 1) = 45 6.
Verify that you answered the question correctly.
(Does your answer make sense?) 6.
Solving for two consecutive integers so one
more integer is needed.
a = 22
2nd integer = a + 1
2nd integer =
2nd integer = 23
1st integer = 22 & 2nd integer = 23 7.
Check your answer 7.
1st integer + 2nd integer = 45
? 45
45 = 45 ☺

5. Solving Algebraic Applications
Is about …
Solving word problems with unknown values.
Procedures
Application 1.
Read the problem 1.
Find three consecutive even integers
whose sum is 72
three consecutive even integers
sum is 72 2.
What are they asking?
Define Unknowns and variables 2.
three consecutive even integers
are needed.
1st even integer (a),
2nd even integer (a +2),
3rd integer (a + 4)
three consecutive even integers 3.
What operations do you have?
Key concepts and operations 3.
three consecutive even integers,
sum (+), is(=), 72
three consecutive even integers
sum is 72 4.
Set up the problem.
Draw figure if necessary.. 4.
1st even integer + 2nd even integer + 3rd even integer = 72
a (a + 2) (a + 4) = 72

6. ☺ Solve the equation a + (a + 2) + (a + 4) = 72 Check your answer5.
Solve the equation 5.
a + (a + 2) + (a + 4) = 72 6
Verify that you answered the
question correctly.
(Does your answer make
sense?) 6.
Solving for two consecutive integers so one
more integer is needed.
a = 22
2nd even integer = a + 2
3rd even integer = a + 4
2nd even integer =
3rd even integer =
2nd even integer = 24
3rd even integer = 26
1st even integer = 22, 2nd even integer = 24, 3rd even integer = 26 7
Check your answer 7.
1st even integer + 2nd even integer + 3rd even integer = 72
? 72
= 72 ☺

7. Solving Algebraic Applications
Is about …
Solving word problems with unknown values.
Procedures
Application 1.
Read the problem 1.
Find two consecutive odd integers
whose sum is -88
two consecutive odd integers
sum is
-88 2.
What are they asking?
Define Unknowns and variables 2.
Two consecutive odd integers are
needed.
1st odd integer (a) and 2nd odd integer (a +1).
Two consecutive odd integers 3.
What operations do you have?
Key concepts and operations 3.
two consecutive odd integers,
sum (+), is(=), -88
two consecutive odd integers
sum is
-88 4.
Set up the problem.
Draw figure if necessary.. 4.
1st odd integer + 2nd odd integer = -88
a (a + 2) = -88

8. ☺ Solve the equation a + (a + 2) = -88 2nd odd integer = a + 25.
Solve the equation 5.
a + (a + 2) = -88 6.
Verify that you answered the question correctly.
(Does your answer make sense?) 6.
Solving for two consecutive odd integers so
one more integer is needed.
a = -45
2nd odd integer = a + 2
2nd odd integer =
2nd odd integer = -43
1st integer = -45 & 2nd integer = -43 7.
Check your answer 7.
1st odd integer + 2nd odd integer = -88
? -88
= -88 ☺