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Basic Algebra

Algebra Word Problems

Julia wants to have a small but productive orchard. Experienced farmers have told her that if she plants 20 trees, she will get 24 bushels of fruit from each tree. But every additional tree she plants will cause crowding and result in an orchard-wide drop in yield of 1 bushel per tree. How many trees should she plant to get t

Simplifying Expressions

Write the following: 5au 4x^2 --------------- + ----------- 9d^2 k^2 3a^2 k as a single rational expression

Simplifying Expressions

Express the following sum as a single fraction: 3x + t 7x + 5t - ------------ + ------------- 2x 2x Reduce the result to lowest terms whenever possible

Simplifying Expressions

Write without parentheses ( u^4) ^2 ------ (-2 w^3) NOTE: There should only be one parentheses. I couldn't figure out how to enclose the problem in I included two.

Graph the inequality

Graph the inequality: 1 4 8 y> or equal to - ---- x^2- ---x + --- 3 3 3 To graph the associated parabola, plot the vertex and four additional points, two on each side of the vertex.

Quadratic inequality

On a number line , graph the solution to the quadratic inequality -x^2>3x If there is no real solution, click on the "no solution" button.


Find all real or imaginary roots of 6 x^2-6x+5=0 (If there is more than one root, enter additional roots with the or icon.)

Solve the equation for t

(t + 6)^2=2t^2+8t+31t Note: if there is more than one solution, separate the solutions with commas.

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.

Simplified radical form

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

The Simplified Radical Form

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 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.

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 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.

Simplifying Expressions

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