Lesson 2-1: More on Solving Equations

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Lesson 2-1 More on Solving Equations

• Objective
• Students will be able to solve equations
  involving fraction, decimals, and parenthesis.
• Students will use the zero products property to
  solve equations.

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Example 1 Parenthesis - Distributing Solve. 5(
3 2x) 12 4(x 6)
Distribute
15 10x 12 4x 24
Simplify s
15 10x 36 4x
Collect variables left side
15 14x 36
Solve subtract 15 both sides
14x 21
Solve divide 14 both sides
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Example 2 Clearing Fractions Solve.
Clear Fraction - Mult. Each side by common denom.
Of 14
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Simplify fractions
Solve subtract 3 each side
Solve divide by 2 each side
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Example 3 Clearing Decimals Solve.
0.5a 0.75a 1.2 1.45
Clear decimals multiply by 100
50a 75a 120 145
Simplify combine like terms
125a 120 145
Solve subtract 120 both sides
125a 25
Solve divide by 125 both sides
a 0.2
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Zero Products Principle a b 0 if and only
if a 0 or b 0
We have to assume either quantity is zero, so
Example 3 Solve (2x 4)(3x 15) 0
Set both quantities equal to zero and solve both
2x 4 0
3x - 15 0
or
x 2
x 5
If foiled out this is 6x2 - 42x 60 0. A
quadratic equation. The solutions are the
x-intercepts!!!
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Marker Boards pg 64 2 4 18 26 30 38
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Assignment 2-1/64/1-39eoo