6'2 Solving Multiplication and Division Equations - PowerPoint PPT Presentation

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6'2 Solving Multiplication and Division Equations

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You'll learn to solve multiplication and division equations. Division ... Multiplication ... 11/1/09. 11. 1. Assignment: p. 236 11-30 Worksheet E 73 7& E 74 ... – PowerPoint PPT presentation

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Title: 6'2 Solving Multiplication and Division Equations


1
6.2 Solving Multiplication and Division Equations
  • LPS

2
What Youll learn
  • Youll learn to solve multiplication and
    division equations
  • Division Property of Equality
  • Multiplication Property of Equality

3
Division Property of Equality
  • Words If you divide the same nonzero (why non
    zero?)number from each side of an equation, then
    the two sides remain equal.
  • Symbols Arithmetic Algebra
  • 88 ab
  • 8 8 a b
  • 2 2

c c
4
Multiplication Property of Equality
  • Words If you multiply the same number to each
    side of an equation, then the two sides remain
    equal.
  • Symbols Arithmetic Algebra
  • 55 ab
  • 5 x 4 5 x 4 ac bc

5
Examples
  • The opposite of multiplying is dividing, so
    divide both sides by 7.
  • 7divided by 7 is 1, so the 7s cancel out.

-54 9c 9 9 -6 c Check -54
9c -54 9-6 -54 -54
  • 7C 49
  • 7 7
  • C 7
  • Check
  • 7C 49
  • 77 49
  • 49 49

To check replace the variable with your answer
and see if the equation still works.
?
?
6
-10x -120 -10 -10 x 12
4.5 5 z 5 5 .9 z
Check
-10 x -120 -10(12) -120 -120 - 120
4.5 5z 4.5 5 (.9) 4.5 4.5
?
?
7
The opposite of dividing by 4 is to multiply by
4. You have to do the same thing to both sides
of the equation to keep it balanced. 4 divided
by 4 is 1, so the 4s cancel each other out.
4 4
X 48
Check
8
7 7
7 7
X -84
X -70
Check
-10 -10
-12 -12
9
5 5
-1 p - 55
5 5
-1 -1
- K 60
1
p 55
-1 -1
K -60
10
  • Multiply both sides by the reciprocal of the
    fraction.
  • Cancel out the 5s and 4s.
  • Put the 1 under the whole number
  • Multiply

Check
1
11
1
Assignment p. 236 11-30 Worksheet E 73 7 E 74
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