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
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