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Basic Algebra

Algebra: Various Radical Equations

*All work must be done on attached template using Equation Editor. Please follow all directions exactly.* Part 1 Explain how you solved one math problem from the CheckPoint assignment in 4 complete sentences (copy the original problem that you solve) to explain in a way that another student would be able to follow your direc

Solving Equations

Combine like terms: -3x2 + 8x - 7x2 + 9 + 2x - x2 + 11 Solve for x: 5x - 12 = 4x + 5 Solve for x: -3(4x + 3) - 2 = 7 - 2x + 3 Solve for x: (x + 3)/4 - 3/2 = (x + 4)/8 Translate to an algebra statement; do not solve: Twice the difference of seven times a number and four yields the same result as the same number i

Solving Quadratic Equations

Please see the attached file for the fully formatted problems. 1. Decide all values of b in the following equations that will give one or more real number solutions. Solve the following three quadratic equations, using what you consider to be the optimum method for each problem (factoring, square root method, etc.). Why

Algebra problems: radical expression and quadratic equation

See attached file for full problem description. 1. Use property 2 to simply the following radical expression. sqrt(10/49) 2. Use the properties for radicals to simply the following expressions. Assume that all variables represent positive real numbers. sqrt(5/3), sqrt(12x^3/5) 3. simply by combining like terms: sqrt(63)

Ratio Numbers

If the ratio of a to b is equal to the ratio of b to a, what can you say about the two numbers a and b? Are they the same or different? Justify your answer by either giving a convincing argument or by giving some examples with detailed explanation.

Domain for a Function

1. State the largest possible domain for the definition of the function. f(x,y) = cube-root(y^2-x) 2.The plane 2y+4z = 5 meets the cone z^2 = 4(x^2+y^2) in a curve. Use the method of Lagrange multipliers to find the point on this curve nearest to the origin.

Simplifying and Solving Equations

1. Find the product: 6a-4(a5 + 3x2) 2. Find the product: {(-3x3)2}2(-4x4)3 3. Find the GCF (Greatest Common Factor) for the following group of polynomials: A) 7yx3, 21x3y B) (x - y), (x4 - y4), (x2 - y2) 4. Perform the indicated operation and write the result as a polynomial in the standard form: (

Basic Algebra

28 Algebra Problems Please see the attached file for the fully formatted problems. 1. Write in simplest form. 6x^7 ____ 24x^3 2. Write in simplest form. 5r^3st^2 _______

Graphing, Parabolas and Quadratic Equations

Please see the attached file for the fully formatted problems. Sample #1 Sample #2 Sample #3 Find the roots of the quadratic equation: . (If there is more than one root, separate them with commas.) Sample # 4 Solve the equation for . (If there is more than one solution, separate them with commas.)

Area of a window

A window is in the shape of a square of side s, witha semicircle of diameter s above it. Please help me unable to figure out how to write a function that express the total area of the window as a function of s

FOIL, Inequalities with Absolute Values and Factoring

Please see the attached file for the fully formatted problems. 9. Simplify using FOIL Solve the inequalities 3. |x - 4| < 5 A -1 > x > 5 B -5 < x< 5 D x > 9 E -1 < x < 9 F -4 > x > 4 4. |x - 2| > = 3 B -1 > x > 5 C x > 3 D x < -1 or x > 5 E x < 2 or x > 3

Basic Algebra

30 Problems Please see the attached file for the fully formatted problems.


Please solve the attached 10 algebra practice problems attached.

Selling Stocks and Retaining Portfolio Ratio

You own 1000 shares of Robotica Galactica (RG) at $39.00 per share. You also own 500 shares of Algebraic Flavors and Fragrance International (AFFI) at $100 per share. You would like to liquidate a part of your holdings to generate about $40,000 in cash for an emergency use. How would you sell your stock so that in your portfolio

Solve the attached 6 practice problems

Pg. 317 Factor out the GCF in the equation: #66. 15x^2 y^2 - 9xy^2 + 6x^2 y Pg. 324. Use grouping to factor the polynomial completely: # 78. x^3 + ax + 3a + 3x^2 Pg. 332. Area of a sail. A triangular sail has an area of x^2 + 5x +6 square meters and a height of x + 3 meters. Find the length of the sail's base. Area

Modeling data with polynomial functions and rational functions

(1) Create a set of data that can be modeled as a polynomial function. Please provide a reference to the data. Plot the data using Microsoft Excel including the equation for the fit. Discuss how closely the data seem to match to the best fit line. (2) Do the same for data that can be modeled using a rational function. Includ

25 Algebra Problems

Please see the attached file for the complete list of problems (25 in all) 1. Find the greatest common factor for the following sets of terms. 12a^3b^2 , 18a ^2b^3, 6a^4b^4 2. Factor the following polynomial. 4s + 6st - 14st ^4 3. Find the GCF of (6y^2 - 3y)(y + 7) 4. Geometry: The area of a rectangle of length x is give

Algebra: Solving Equations and Word Problems

1) Evaluate 6*5+2-24 divided by4*2 2) Given f(x)=3x+3, find f(a+1) 3) Use your calculator to evaluate the following expression if x=9.69, and y= -8.02 x-5y Round your answer to the nearest tenth 4) A bus leaves a station at 1P.M., traveling west at an average rate of 44 mi/h. At 2P.M. on the same day a second bus leav

Practice Algebra Problems

Show all steps. Explain each step as much as you can. Find the prime factorization for each integer. #6. 200 Find the greatest common factor for each group. #10. 6a2b, 9ab2, 15a2b2 Complete the factorization of each binomial. #14. a2 - a = - a( ) Factor each polynomial by factoring out the GCF. #20. 2a2 -

Evaluating and Solving Expressions

Please see the attached file for the fully formatted problems. Write 54 as a product of prime factors. Evaluate the six expressions below. Write each response as an integer or as a fraction. (-8)^2 (-2)^4 (1/5)^3 4^2/5 (-1/2)^2 -6^2 Evaluate. Evaluate the expression when and

15 Basic Algebra Problems

1. Reduce if possible: (p^2 + 5p + 6)/(p^2 + 2p - 3) 2. Multiply: (x^2 - 3x + 2)/(x^2 - 4x + 4) times (x^2 + x - 6)/(x^2 - 1) 3. For what values of p is #1 undefined? 4. For what values of x is #2 undefined? 5. Find the LCD of the following: 1/(x + 2) and 1/(x^2 + 2x). 6. Find the LCD of the following: 1/(x^2 +

Fixed Point Equations

The chapter in question is about Iteration.(x2 means x squared). It talks about the Fixed point rule. It describes a fixed opint equation as x2 + 1/8 = x; that is x2 - x + 1/8 = 0 It then gives another example: Determine the fixed points of the function f(x) = -1/8x2 + 11/8x + 1/2 and states that the fixed point equation

Basic Algebra

Practice skills- 16 Problems Each correct answer is worth 6-1/4 points 1. Write in simplest form. A) -2r3s2t B) C) D) 2. Write in simplest form. A) B) C) 4a4b D) 3. Multiply. A) B) C) D) 4. Multiply. A) B) C) -n2 +

Writing Equations from Word Problems

The equation for the distance of the room is: d=20+5t and the equation for the distance of Peter is d=vt =10t Such that setting the two equations together we see that at t=4 seconds, the distance that Peter travelled is the same as the distance of the room 40ft. However, here he only drops of one paper and he must go back

Algebra Problem Set Quadratics

1. Decide whether each of the following is a quadratic equation or not. a. 3 - X^2 = 9x b. X^3 - 8 = 0 c. 2X^2 - 7X + 1 d. -5 - X^2 + 8X = 0 e. 6 + 5X - X^2 2. Find f(-3) if f(x) = -2x^3-8x^2+2x-1 3. Do the math and express without negative exponents: x^(-7) * x^3 4. Do the math and express without negative expon

Evaluating Exponential Functions

Human populations can be modeled using an exponential growth function. Use the Library for research or other resources to find the following: Current world population Current U.S. population Current growth rate of the world population Current growth rate of the U.S. population Starting in the current year, determine

Algebra Word Problems : 'Together and Alone' Problems

Problem 1:Suppose one painter can paint the entire house in twelve hours, and the second painter takes eight hours . How long would it take the two painters together to paint the house? Problem 2: Two trains leave the same train station at the same time , but in opposite direction. The faster train travels at an average ra

Logarithms and Exponents

For problems 1 -3, use the algebraic definition of the logarithm to evaluate (simplify) the expression by hand and state the property number used. All work must be shown. 1. log8 (8^(x-1) 2. log4 ((1/16)^7) 3. log (0.0001) For problems 4 - 6, solve for x exactly by hand. 4. log5 (x - 1) = 1 5. log2 (1/8) = x 6. lo