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6.1 Simplify Rationals (1).notebook November 23, 2015
Rational Expressions:Simplify, Multiply, and Divide Unit 6 Day 1
6.1 Simplify Rationals (1).notebook November 23, 2015
acbc =
ab
a + cb + c =
ab
Simplifying Fractions:
We can reduce factors, not terms!2x + 4x + 2
x + 1x + 2
3x4x
6.1 Simplify Rationals (1).notebook November 23, 2015
Simplify:
1. 8 x3 y2 x y2
2. x2 + 5x + 6x2 + 3x
6.1 Simplify Rationals (1).notebook November 23, 2015
3. x + 4 x2 16
4. x + 4 16 x2
6.1 Simplify Rationals (1).notebook November 23, 2015
**Recognize factors that reduce to 1 or 1
7x7x
(x + 2)(x + 2)
x + 4x 4
x 55 x
6.1 Simplify Rationals (1).notebook November 23, 2015
Make a decision as to whether each expression equals 1 , 1 or neither.
6.1 Simplify Rationals (1).notebook November 23, 2015
Let's Golf!• Do problems at the same time, then check
each other's and record your "strokes"! • Complete all 5 holes, and calculate your
grand score.
6.1 Simplify Rationals (1).notebook November 23, 2015
a c acb d bd= .
Multiplying Fractions:
Again, we can reduce factors, not terms!
So, with rational expressions:x + 5 x 6x 6 3x_
_.5.
6.1 Simplify Rationals (1).notebook November 23, 2015
6. 3x 3x2 x2 + x 20 x2 + 4x 5 3x
Multiply:
.__
_
6.1 Simplify Rationals (1).notebook November 23, 2015
7. 2x2 + 7x + 3x2 + 5x + 6
10 + 3x x22x2 + x
. _
6.1 Simplify Rationals (1).notebook November 23, 2015
a c a d adb d b c bc=
Dividing Fractions:
Again, we can reduce factors, not terms!
So, with rational expressions:x + 2 x + 2x 1 3x_8.
÷ . = Multiply by the reciprocal!
÷
6.1 Simplify Rationals (1).notebook November 23, 2015
9. 7x x2 6x 2x 10 x2 11x + 30÷Divide:
6.1 Simplify Rationals (1).notebook November 23, 2015
10. 9x26x 3
3x2 12x2x2 x÷
6.1 Simplify Rationals (1).notebook November 23, 2015
Super Bonus Challenge Problem:
6.1 Simplify Rationals (1).notebook November 23, 2015
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