### Simplifying Expressions

Express as a single fraction in lowest terms 3y + w 7y - 2w -4+----------- + ---------- 7y 2y

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Express as a single fraction in lowest terms 3y + w 7y - 2w -4+----------- + ---------- 7y 2y

Reduce the following rational expression to its lowest terms 10 u^5 z^4 ------------------ 25 x z^3 - 15 z^6

Solve for z. z is a real number. If there is more than one solution, separate with commas. principle square root 4z - 5 = principle square root 2z + 3 Note: I don't know how to graph the sign for principle square root, which is why i write it out.

Solve for x. 5 2 -----= - ----- - 7 x-2 2x - 4

Add and simplify. 2 x+3 - ---- + ----- x-2 x

Find the quotient of the following. Reduce to lowest terms. 14u 4tu ---- divided by ------ 9t 3t

3 principle square root 27 Note: I'm not sure how to graph the principle square root sign. Hence, why I wrote it out. Hope that makes sense.

A ball is dropped from the top of a 400 foot tall building and falls such that its distance from the ground at t seconds is s = -16t2 + 400 feet. What is the average velocity of the ball for the first 4 seconds?

4m^2 + 20m + 25 =

What is the principle square root of -4t + 21 = t?

An aquarium tank can hold 7700 liters of water. There are two pipes that can be used to fill the tank. The first pipe alone can fill the tank in 77 minutes. The second pipe can fill the tank in 44 minutes by itself. When both pipes are working together, how long does it take them to fill the tank?

Principle square root 2 y^6 z^2 principle square root 8 y^5 z^2

Y square root 96t^5 - 9t^2 square root 6ty^2

3 - ---- = -6 z

25 t^3 x^3 + 15 u^6 x^3 ---------------------------------- 15 x^2

F=mv^2 --------- r

F=Gm1 m2 ----------- s^2

C=5/9 (f - 32)

-24 -16 ------ = ----- x x - 2

5 15 ------ = ----- w-2 w

U + 4 18 ------ = ----- u 10

Write the following expression in the form a + bi, where a and b are real numbers. (3 - 5i) - (2 - 7i)

Principle square root 3 Principle square root 3 -------------------------- - ----------------------------- principle square root 6-1 principle square root 6 + 1

Square root 6 square root 14 -------------------------- * ------------------------------- square root 7 square root 3

principal square root 2t^5 * principal square root 10t^4

Simplify. Assume a and b are positive real numbers and m and n are rational numbers. ( a^-3/mb^6/n)^-1/3 ------------------ (a^-6/mb^9/n)

How do you simplify the expression: (-27x^9)^1/3? Please help me understand this.

I'm not sure how to display the symbol for principle square root. Hope this makes sense. principle square root m^6

I = E/ R+ r for R