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Basic Algebra

Algebra, Equations and Word problems

Name: _________________________ Date: _____________ 1. Solve. 28x - 2(10x - 0.365) = 7x + 0.035 2. Find the mean and the median. -2, , , 4, 9 A) Mean 2, Median B) Mean 10, Median 2 C) Mean 2, Median 2 D) Mean 10, Median 3. Solve. -3(x + 1) = 2(x - 8) + 3 A) -1 B) 1 C) 3 D) 2 4. A

Distance and Midpoint

Solve for the following items: a. The point on the x-axis that is equidistant (equal distance)from (10,4) and (6,2). b. The distance between the points (4,4) and (20,4). c. The distance between the points (1,4) and (19,5). d. The midpoint between (12,4) and (18,6) e. The midpoint between (-8,-6) and (25,3)

Quadratic Equations

Name: __________________________ Date: _____________ 1. Solve by completing the square. x2 + 6x - 27 = 0 A) 9, -3 B) -9, -3 C) 9, 3 D) -9, 3 2. Solve by using the quadratic formula. x2 + 4x + 3 = 0 3. Solve. x2 + 2x - 24 = 0 A) 6, -4 B) -6, -4 C) 6, 4 D) -6, 4 4. Is the following trinomial

Graphing Quadratic Equations

Please help with graphing quadratic equations and applications of quadratic equations. Graph the equation. 1.-4. Complete the table, answer the problem. And describe the resulting graphs by identifying the vertex point, the graph's direction, and any axis intercepts gleaned from the table or graph. Identify the axis of sym

Difference Quotients and Maximum Value

The following wage function represents the relationship between age and wages for a typical employee of a large firm: Wage= 20 + 25 * age - 0.25 * age^2 a) using the difference quotient, find the change in the wage from where age=30 to where age=40. b) show the formula for the change in the wage when age=1 c) at wha

Graphing and Fitting Data to Different Kinds of Functions

As the financial manager of ABC computers, you are ready to make some decisions. You are trying to see where revenues are going?is the company ready to expand, and if so, when? There is a lot of data that you have, but columns of numbers are not as easy to understand as a graph. You plot revenue as a function of time. You do

Solving Equations and Evaluating Word Problems

1.) how do you evaluate this expression M^2-6m-8 2.) How do you evaluate this 2x6+28/4-7 3.) -4/7w=8 4.) How do you solve this for x? 1/5x-5/2= -8/3 5.) How do you use the distributive property to remove these parentheses? 6(4+y) 6.) How do you graph this on a number line? x<1 or x>2 7.) A washer and dry

Algebra Word Problems

Solve the following problems: 1. A corporation allows each of its traveling employees an daily meal allowance and a nightly hotel allowance. One employee travels 4 days and 4 nights and is allotted $480. Another employee travels for 3 days and 2 nights and is allotted $270. What is the daily meal allowance and the nightly

Radicals Simplified

1. Simplify. A) B) C) D) 2. Simplify. Assume x represents a positive number. 3. Evaluate , if possible. A) 8 B) 4 C) 2 D) Not a real number 4. Simplify. 5. The base of a ladder is 8 feet away from the wall. The top of the ladder is 13 feet from the floor. F

Undefined Rational Expressions and Simplifying Expressions

1.Find the values (if any exist) that make the rational expression undefined. _____y(squared) + y + 1____ 16y(squared)-9 2. Write the given rational expression with the indicated denominator. __4x___ = _______?________ x+9 x(squared) +14x +45 3. Simplify: x (squared) + 0x -6

Radical expressions: simplify, perimeters, area

Evaluate if possible: [See attachment for the formatted questions]. Find the time required for an object to fall to the ground from a building that is 1400ft high. Formula [attached] is the distance fallen. Use property 1 to simplify each of the following radical expressions. Assume that all variables represent positive re

Mathematics: Solving Equations and Graphing

For non-integer answers, please write your answer as a fraction rather than a decimal. To show your work, you will need to include: - the algebra used to compute the solution to any equations. - the formula with substituted values. - the final calculated answer with units. Please see attachment for a full descripti

Several Questions on Rational Expressions

There are several questions on rational expressions. Some have been shown here. Please take a look at the wk_4_cp_template.doc for the rest questions. 1) If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers? 2) A passenger train can trave

Algebraic Equations - solving for x

1) Solve the following equations algebraically. You must show all your work. 2) Solve algebraically and check your potential solutions: sqrt(x +2) - x = 0 3) The volume of a cube is given by V = s^3, where s is the length of a side. Find the length of a side of a cube if the volume is 800 cm3. Round the answer to three deci

Domains, Transformations, Return and Approximation

Please see the attachment for detailed description. 1) Find the domain of the following: a) f(t) = 4.5exp(t) b) g(x) = log(x +3) c) g(x) = 2^x d) g(t) = ln(t -1) 2) Describe the transformations on the following graph of f(x) = e^x . State the placement of the horizontal asymptote and y-intercept after the transformatio

Algebra/Geometry

Algebra mathmatics simple problems: I need help in completing the following exercises. I need to use the Equation Editor in Microsoft® Word to do these problems, then submit a Word document, showing the work and answers. (first 20 are multiple choice) See attached file for full description. 1. Write the word name for the

Graphing and solving absolute value inequalities

Solve each absolute value inequality and graph the solution set. 32) |5x - 1| </= 14 36) |x-7| </= -4 40) 1 > ½ |6-x| - 3/4 Graph each compound or absolute value inequality 42) x+y </= 1 or y </= 4 44) x+8y > 8 and x - 2y < 10 46) |x-3| >/= 9

Algebra mathmatics simple problems

Attached you will find the problems to be completed. I need help in completing the following exercises. I need to use the Equation Editor in Microsoft® Word to do these problems, then submit a Word document, showing the work and answers. (first 20 are multiple choice) These are the problems I need help with: 1. Find t

Trade in International Business - Content Cow Dairy

Some authorities claim that globalization has led to greater income inequality in the U.S. and globally while others claim that inequality is due to improvements in technology and productivity. Using the Library and Internet sources, do the following: Identify evidence for and against the existence of increasing income inequa

Algebra Positive Exponents

1. Multiply. (10x9)(-5x8) 2. Write using positive exponents only. b-19 3. Write 0.0000073 in scientific notation. 4. Add 10y2 + 9y - 2 and 10y2 + 6y - 7. 5. Multiply. (2x - 5y)(3x - y) 6. Multiply. (2m - n)2 7. Divide. 8. The distance from a star to a planet is 5.1 &#616

Various algebra problems

I need help in completing the following exercises. I need to use the Equation Editor in Microsoft® Word to do these problems, then submit a Word document, showing the work and answers. Attached you will find the problems to be completed. Please help me by actually working the problems with microsoft Equation Editor & replyi

Solving and Checking Equations and Inequalities

I am having trouble with the attached equations. Can you assist and show me how to check the solution? Solve the following equations: 1. A = (1/2)bh solve for h 2. m = (x + y + z) / 3 solve for y Determine if -4 satisfies the following compound inequality 3. 2x < -8 AND 5x < 0 Solve t

Exponential and Logarithmic Functions

1. An example of an exponential function is y=8^x. Convert this exponential function to a logarithmic function. Plot the graph of both the functions. 2. Graph these two functions ? An exponential function f(x)=6x-2 ? A logarithmic function f(x)=log9x 3. Look at the graphical representation below and derive

Solve the following for x

Solve the following for x: 4(2^x)=56 in the order of operations Pemdas requires that exponentation takes precedence over multiplication, so we cannot multiply 4*2 without first evaluating 2^x, but we could divide both sides by 4. Also remember x is an exponent and we have to take logarithmic of both sides to bring the exponent

Delta-Epsilon Limit Definition

There are 2 questions in the question file. I have also attached some reference material in case you need it. Please show all work. I have included details about the delta-epsilon definition of limit. Thanks

graph straight line and inequality in xy-plane

1.) Graph 3x + y = 5, showing the intercept coordinates. 2.) Make a graph of the line that goes through ( - 1,4) and has slope of - 2/3. 3.) Graph the inequality y < - 2x + 1 4.) Graph the inequality - x > 70 - y

Solving Quadratic Equations

I am needing help for an upcoming test, could someone help me with this test review so that I can use this to study by I really need to pass this test. Please see attached file for full problem description. 1. Solve. x2 = 21 2. Solve. x2 - 24 = 0 3. Solve by using the quadratic formula. x2 + 9x + 18 = 0

Basic Algebra

1.) 2(a-4)+4=5(9-a) 2.) t-5x=4x 3.) Fill in the table using the given formula (solve for Y) y=-5x+10 __X__Y_ -1 0 1 2 3 4.) Even Integers. Find two consecuitive integers that have a sum of 450. 5.) Determine whether the given number is a solution to the inequality following it. 0,4x+9 i