Download Aim: How do we understand the concept of inverse operations with

Aim: How do we understand the
concept of inverse operations with
fractions?
Do Now:
1.
2.
x
3
x
3
=5
+4=6
To solve an equation
• In an equation which has more than one
operation, we have to undo the
operations in the correct order.
• First, undo addition or subtraction, then
undo multiplication or division.
• *****IF there are parentheses (distributive
property) then multiply to get rid of
parentheses.*****
3(x+5) = 21
x
=5
3
x
3
+4=6
4x
3
+ 5 = 13
4x
3
Let’s try to solve + 5 = 13
another way!
Practice
1.
2.
3.
4.
5.
2
x=8
3
1
x + 6 = 10
2
4
t + 7 = 47
5
1
w + 6 = −2
3
1
x + 11 = 5
4
Solving equations with many fractions
𝑥
2
+
𝑥
6
First way:
1)Find the LCD (LCM)
2)Make the
denominators
common.
-Multiply the top and
bottom of the first
fraction by 3.
3) Solve for x multiplying
by the reciprocal.
=2
𝑥
2
1) Find the common
denominator (LCM)
2) Multiply EVERY TERM
in the equation by the
common
denominator.
3) Reduce each term to
form a "denominator
free" equation.
+
𝑥
6
=2
Difficult!
*The first step in these problems is to multiply and
get rid of the parentheses
* Undo addition or subtraction, then undo
multiplication or division
Practice
1)
2)
3)
4)
<< Difficult!