1. 1.1
Solving Equations: The Addition
Principle
OBJECTIVES
a Determine whether a given number is a solution of a
given equation.
b Solve equations using the addition principle.
Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
Slide 1

2. 1.1
Solving Equations: The Addition
Principle
EQUATION
An equation is a number sentence that says that the
expressions on either side of the equals sign, =,
represent the same number.
Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
Slide 2

3. 1.1
Solving Equations: The Addition
Principle
Determine whether a given number is a solution of a
a
given equation.
EXAMPLE
Determine whether each equation is true, false, or
neither.
Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
Slide 3

4. 1.1
Solving Equations: The Addition
Principle
SOLUTION OF AN EQUATION
Any replacement for the variable that makes an
equation true is called a solution of the equation. To
solve an equation means to find all of its solutions.
Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
Slide 4

5. 1.1
Solving Equations: The Addition
Principle
Determine whether a given number is a solution of a
a
given equation.
EXAMPLE
Determine whether 19 is a solution of 7x = 141.
Since the left-hand and the right-hand sides are not the
same, 19 is not a solution of the equation.
Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
Slide 5

6. 1.1
Solving Equations: The Addition
Principle
EQUIVALENT EQUATIONS
Equations with the same solutions are called
equivalent equations.
Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
Slide 6

7. 1.1
Solving Equations: The Addition
Principle
THE ADDITION PRINCIPLE FOR EQUATIONS
Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
Slide 7

8. 1.1
Solving Equations: The Addition
Principle
b Solve equations using the addition principle.
EXAMPLE
Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
Slide 8

9. 1.1
Solving Equations: The Addition
Principle
b Solve equations using the addition principle.
EXAMPLE
Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
Slide 9

10. 1.1
Solving Equations: The Addition
Principle
b Solve equations using the addition principle.
EXAMPLE 7
Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
Slide 10

11. 1.1
Solving Equations: The Addition
Principle
b Solve equations using the addition principle.
EXAMPLE 7
Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
Slide 11