Download Chapter 2 Solving Linear Equations

Chapter 2
Solving
Linear
Equations
and
Inequalities
Copyright
© 2011,
2015, 2007
2011,Pearson
2007 Pearson
Education,
Copyright
© 2015,
Education,
Inc. Inc.
Chapter
Chapter1-1
2-1
1
Chapter Sections
2.1 – Combining Like Terms
2.2 – The Addition Property of Equality
2.3 – The Multiplication Property of Equality
2.4 – Solving Linear Equations with a Variable on One
Side of the Equation
2.5 – Solving Linear Equations with the Variable on
Both Sides of the Equation
2.6 – Formulas
2.7 – Ratios and Proportions
2.8 – Inequalities in One Variable
Copyright
© 2011,
2015, 2007
2011,Pearson
2007 Pearson
Education,
Copyright
© 2015,
Education,
Inc. Inc.
Chapter
Chapter1-2
2-2
2
The Multiplication
Property of
Equality
Copyright
© 2011,
2015, 2007
2011,Pearson
2007 Pearson
Education,
Copyright
© 2015,
Education,
Inc. Inc.
Chapter
Chapter1-3
2-3
3
Multiplication Property of Equality
If a = b, then a · c = b · c for any real
numbers a, b, and c.
Example: Solve the equation 9x = 63.
1 · · 9x = 1 ·15 (Multiply both sides by 1
9
9
9
1x= 7
)
x=7
Copyright
© 2011,
2015, 2007
2011,Pearson
2007 Pearson
Education,
Copyright
© 2015,
Education,
Inc. Inc.
Chapter
Chapter1-4
2-4
4
Multiplication Property of Equality
Example: Solve the equation 8w = 3.
To solve the equation we divide both
sides of the equation by 8.
8w = 3
8w 3
8 = 8 Divide both sides by 8.
w =3
8
Copyright
© 2011,
2015, 2007
2011,Pearson
2007 Pearson
Education,
Copyright
© 2015,
Education,
Inc. Inc.
Chapter
Chapter1-5
2-5
5