1. solving equations the addition principle
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Transcript of 1. solving equations the addition principle
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OBJECTIVES
1.1 Solving Equations: The Addition Principle
dUse < or > for to
write a true statement in a situation like 6 10.
Slide 1Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
a Determine whether a given number is a solution of agiven equation.
b Solve equations using the addition principle.
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1.1 Solving Equations: The Addition Principle
aDetermine
whether a given number is a solution of a
given equation.
EQUATION
Slide 2Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
An equation is a number sentence that says that the expressions on either side of the equals sign, =, represent the same number.
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EXAMPLE
1.1 Solving Equations: The Addition Principle
aDetermine whether a given number is a solution of agiven equation.
Slide 3Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
Determine whether each equation is true, false, or neither.
![Page 4: 1. solving equations the addition principle](https://reader033.fdocuments.in/reader033/viewer/2022061203/547d41f75906b589378b4667/html5/thumbnails/4.jpg)
1.1 Solving Equations: The Addition Principle
aDetermine
whether a given number is a solution of a
given equation.
SOLUTION OF AN EQUATION
Slide 4Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
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.
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EXAMPLE
1.1 Solving Equations: The Addition Principle
aDetermine whether a given number is a solution of agiven equation.
Slide 5Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
Since the left-hand and the right-hand sides are not the same, 19 is not a solution of the equation.
Determine whether 19 is a solution of 7x = 141.
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1.1 Solving Equations: The Addition Principle
bSolve equations using the addition principle.
EQUIVALENT EQUATIONS
Slide 6Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
Equations with the same solutions are called equivalent equations.
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1.1 Solving Equations: The Addition Principle
bSolve equations using the addition principle.
THE ADDITION PRINCIPLE FOR EQUATIONS
Slide 7Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
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EXAMPLE
1.1 Solving Equations: The Addition Principle
b Solve equations using the addition principle.
Slide 8Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
![Page 9: 1. solving equations the addition principle](https://reader033.fdocuments.in/reader033/viewer/2022061203/547d41f75906b589378b4667/html5/thumbnails/9.jpg)
EXAMPLE
1.1 Solving Equations: The Addition Principle
b Solve equations using the addition principle.
Slide 9Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
![Page 10: 1. solving equations the addition principle](https://reader033.fdocuments.in/reader033/viewer/2022061203/547d41f75906b589378b4667/html5/thumbnails/10.jpg)
EXAMPLE
1.1 Solving Equations: The Addition Principle
b Solve equations using the addition principle.
7
Slide 10Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
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EXAMPLE
1.1 Solving Equations: The Addition Principle
b Solve equations using the addition principle.
7
Slide 11Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.