Day 1 Multiply and Divide Completed Notes
Rational Expressions Day 1
Objective: To multiply and divide rational expressions
Rational Expression
A rational expression is the quotient of two polynomials. *Always go to the simplified form on any expression
*Rational fraction­ lowest terms (reduce)
factor as far as you can
Wehrle 1
Day 1 Multiply and Divide Completed Notes
Multiply and state all variable restrictions.
Example 1
3
2x y
2
3xy
4
y
5
2x
Simplify. State all variable restrictions.
Example 2
3(x + 2)
3
x
Wehrle x(x - 4)
(x + 2)
2
Day 1 Multiply and Divide Completed Notes
Simplify. State all variable restrictions.
Example 3
2
3x - 3x
2
x + x -20
2
x + 4x - 5
3x
Simplify. State all variable restrictions.
Example 4
2
x + 5x - 36
2
x - 11x + 28
2
x - 49
Wehrle 3
Day 1 Multiply and Divide Completed Notes
Simplify. State all variable restrictions.
Example 5
2
2
4
8x y z
2xy
(multiply by the reciprocal)
÷
4
5
xz
3z
Simplify. State all variable restrictions.
Example 6
2
2
x - 4x - 21
x + 3x - 70
÷
5x + 15
Wehrle 2
x - 100
4
Day 1 Multiply and Divide Completed Notes
Simplify. State all variable restrictions.
Example 7
2
3x + 13x - 10
2
6x
1
x(3x - 2)
Simplify. State all variable restrictions.
Example 8
2
3x + 13x + 4
2
x ­ 4
Wehrle 4x + 16
8
x + 2
x + 1
5
Day 1 Multiply and Divide Completed Notes
Simplify. State all variable restrictions.
Example 9
2
10x ­ x ­ 24
3x
2
2x ­ 5x ­ 12
2
5x ­ 8x
Simplify. State all variable restrictions.
Example 10
2
x + x ­ 6
2
6x ­ 2x
Wehrle 2
5x ­ 7x ­ 6
2
12x ­ x ­ 1
10x + 6
x + 3
6
Day 1 Multiply and Divide Completed Notes
assıgnment:
Assignment: Wksht #2
Worksheet #1
Wehrle 7