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Transcript
Date ________________
Chapter 4: First Degree Equations and Inequalities in One Variable
Lesson 4-1: Solving Equations Using More Than One Operation
p.117-122
Root or Solution - the number that can replace the variable in an open
sentence to make the sentence true.
Conditional equations - when not every element of the domain makes the
sentence true.
Identity - when every element of the domain satisfies an equation.
Equivalent equations - Two equations that have the same solution set.
Properties of Equality
1. Addition Property of Equality -______________________________
_________________________________________________________
_________________________________________________________
2. Subtraction Property of Equality - ____________________________
_________________________________________________________
_________________________________________________________
3. Multiplication Property of Equality - __________________________
_________________________________________________________
_________________________________________________________
4. Division Property of Equality - _______________________________
________________________________________________________
_________________________________________________________
5. Substitution Principle - _____________________________________
_________________________________________________________
_________________________________________________________
478166418, p. 1
Date ________________
To solve an equation, we need to work backward or "undo" what has been
done by using inverse operations.
Ex 1|
x + 7 = 19
Ex 2|
6x = 24
Solve and state the property used in each step.
Ex 3|
2x + 3 = 15
Ex 4| Solve and check the following
478166418, p. 2
Date ________________
a. 7 x  15  71
CHECK
3
x  6  18
5
CHECK
c. 7  x  9  71
CHECK
b.
HW: p.122/3 and 5-36 5’s
478166418, p. 3