
Rational Equations
Presentation
•
Mathematics
•
11th Grade
•
Hard
Joseph Anderson
FREE Resource
5 Slides • 9 Questions
1
By Mr Gleisberg
2
The LCD (lowest common denominator) is the combination of all the denominators of the equations. Reduce this if possible.
Multiply each term/fraction by the LCD
Cancel any common factors or terms
Simplify and solve for x.
When we can't cross multiply, use LCD
3
Example
solve for x
4
5
Fill in the Blanks
Step 1:
What is the LCD of the equation x3+25=x−12
Type answer...
6
Multiple Choice
Step 2:
(2x)⋅x3+(2x)⋅25=(2x)⋅x−12
Multiplying each term of the equation above by the LCD 2x will create which equation?
6+5x=−24
3x+10=−24x
7
Fill in the Blanks
Step 3:
Solve the simplified equation.
6+5x=−24
Type answer...
8
Multiple Choice
Solve the rational equation.
x5+38=1
x=0
x=3
x=9
x=−9
9
Multiple Choice
What is the LCD of the rational equation
x−72x+2x=x−75
2(x−7)(x−7)
x−7
2(x−7)
2(x−7)2
10
Multiple Choice
Solve the rational equation
x+12x−23=x+1x
x=−3
x=3
x=−1
x=−23
11
Multiple Choice
Solve the rational equation
x−72x+2x=x−75
x=3, x=10
x=2, x=−5
x=5, x=−2
x=−3, x=−10
12
Last one...
13
Multiple Choice
What is the LCD of the rational equation
x−2x+x−41=x2−6x+82
(x−2)(x−4)
x2−6x+8
14
Multiple Choice
Solve the rational equation
x−2x+x−41=x2−6x+82
x=4, x=−1
x=−3, x=−4
x=−1
x=−4, x=1
By Mr Gleisberg
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