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Method 1

Divide by greatest common factor.

Method 2

Divide by common factors before multiplying

Expr. w/ Poly.

factor da denominator-find gcf-simplify.

Dimensional Analysis

example- 100m/9.85s * k/1000m * 60s/min * 60min/h.

Mechanical Advantage

Le/Lr= e/b-e

excluded values

Values that cannot be in the denominator

xy=k

Inverse variation

x1y1=x2y2

product rule

divide by fractions

5x^2/7 / 10x^3/21= 5x^2/7 * 21/10x^3

d.a. Division

example rt=d

multiplying rational expressions

P/Q x R/S = PR/QS ; 1. factor 2. multiply 3. and simplify

dividing rational expressions

P/Q / R/S = P/Q x S/R = PS/QR ; 1. factor 2. opposite reciprocal 3. multiply 4. and simplify

Ex. finding LCD: 8x and 2x+4

first factor: 8x = 2,2,2,x , 2x+4= 2(x+2) LCD: 2^3, x, (x+2) = the answer is 8x(x+2)

4X(x+1)

Find LCD of: 4x and 4x+4

7(x-6)^2

Find LCD of: (x-6)^2 and 7x-42

1/4

If a tank is filled in 4 hours, what fractional part of the tank is filled in one hour?

1/q

What is the reciprocal of q?

1/x +1/6

What is the reciprocal of x added to the reciprocal of 6?

How to solve a work word problem?

Make a chart: an equation made at the end should look similiar to 1/2 + 1/6 = 1/x and solve for x

How to solve a speed word problem?

make a chart and find d, r, t

d = rate x time

What is the formula for distance?