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Basic Algebra

2y^2 - 3y - 6=0

Find Divisibility Rules for the Numbers from 2 to 13

Derive rules to test whether a number is divisible by N, where N ranges from 2 to 13. E.g. A number is divisible by 3 if the sum of the digits is divisible by 3. Show that a palindromic number which has an even number of digits is always divisible by 11.

Absolute Value and Distributive Property

This is a True or False problem and I need to explain the answer. 1. If we add the absolute values of -3 and -5, we get 8. using the distributive property to remove the parentheses. 2. -3(6-p) Can you help me with this problems and explain them. Thank you, your help is GREATLY appeciated.

Write in simplifed radical form. Assume all variables represent positive real numbers. sqrt 45 y^7 z^6

Write the expression below as simply as possible in its radical form. Assume that all of the variables in the expression represent positive real numbers. 3 sqrt(72t^9 w^11)

Simplifying Expressions Principle Square

Principle square root 2 t^3 u, principle square root 8t^4 u^5 Note: I am unsure how to indicate principle square root with the appropriate symbol. Obviously, I have typed principle square root where the symbol should be.

Graphing Inequalities Functions

-6x - 5y is less than or equal to -14 keywords: inequality

8x^3 - 27

Algebra word problems: miles per gallon

In a family there are two cars. In a given week, the first car gets an average of 25 miles per gallon, and the second car gets 40 miles per gallon. The two cars combined drive a total of 2100 miles in that week, for a total gas consumption of 60 gallons. How many gallons were consumed by each of the two cars that week?

Simplifying Principle Square Expressions

(3 principle square root 10 -5)( 1-4 principle square root 5) Note: I'm not sure how to indicate principle square root with the symbol. That's why I have to write it out. Obviously, there should be a symbol where I have typed the words.

z^4 - w^4 z^4

Factor Completely Functions

32 u^3 + 72 u^2 - 20 u

Simplifying an Expression: Example

Express the following compound fraction in lowest terms: 21t^2 u ------------- 5 rs^3 ------------- 7t^5 u^4 --------------- 15s^4

Stating Restrictions on Mathematical Expressions

If the following expression (5t+5)/(2t+5) is to make sense, the values that t can take must be restricted. State the restriction on t.

Simplifying Expressions

Simplify the following.Write the answer without using negative exponents. (t^-7)^4

Simplifying Expressions - single fraction

Express the following sum as a single fraction. Reduce the result to lowest terms whenever possible. z-9w 6z+6w - ------ + -------- 5z 5z

Simplifying and Reducing Expressions: Example

Reduce the following expression to lowest terms: x^2 - 11x+30 ---------------- 2x^2 - 72

Simplifying an Expression: Lowest Terms of a Single Fraction

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

Simplifying Expressions: Rational Expressions

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

Solving Algebra Equations: Example

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.

Algebra Problems: Solving Example Equations

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

Simplifying an Expression: Sample

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

Simplifying Expressions

Simplify and write answer in lowest terms principle square root 20 ----- 45

Rewrite this simplified radical form. Assume all variabel represent positive real numbers. Principle square root 32w^4

Algebra Word Problems: Velocity and Displacement

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?

Factoring Polynomials

4m^2 + 20m + 25 =

Write the expression in simplified radical form 3 principle square root 54

Determining the Principle Square Root

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

Solving Equations Question

Solve for t where t is a real number. Separate with commas if there is more than one solution. Principle square root t + 15 = 1

Filling an aquarium tank

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?