This document discusses solving equations using the addition principle. It begins by defining an equation as a number sentence with expressions on either side of an equals sign that represent the same number. A solution is any value for a variable that makes the equation true. The goal is to determine if a given number is a solution, and to solve equations by using the addition principle, which states that adding or subtracting the same quantity to both sides of an equation results in an equivalent equation. Examples are provided to illustrate determining if a number is a solution and using the addition principle to solve equations.
Determine what additional information is needed to prove two triangles congruent by a given theorem.
Create two-column proofs to show that two triangles are congruent.
Addition and Subtraction of Rational Expressions with Like DenominatorsFree Math Powerpoints
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Determine what additional information is needed to prove two triangles congruent by a given theorem.
Create two-column proofs to show that two triangles are congruent.
Addition and Subtraction of Rational Expressions with Like DenominatorsFree Math Powerpoints
For more instructional resources, CLICK me here and DON'T FORGET TO SUBSCRIBE!
https://tinyurl.com/y9muob6q
LIKE and FOLLOW me here!
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Topics:
Algebraic Epressions VS Polynomials
Parts of an Algebraic Expressions
Algebraic Epressions VS Polynomials
Kinds of Polynomials
Degree of Polynomials
If you are looking for math video tutorials (with voice recording), you may download it on our YouTube Channel. Don't forget to SUBSCRIBE for you to get updated on our upcoming videos.
https://tinyurl.com/y9muob6q
Also, please do visit our page, LIKE and FOLLOW us on Facebook!
https://tinyurl.com/ycjp8r7u
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Topics:
Algebraic Epressions VS Polynomials
Parts of an Algebraic Expressions
Algebraic Epressions VS Polynomials
Kinds of Polynomials
Degree of Polynomials
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Length: 30 minutes
Session Overview
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To view the webinar recording, go to:
https://www.rttsweb.com/jmeter-integration-webinar
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1. solving equations the addition principle
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
