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# Basic Algebra

### What is the difference between an equation and an expression?

What is the difference between an equation and an expression? Include an example of each. Can you solve for a variable in an expression? Explain. Can you solve for a variable in an equation? Explain. Write a mathematical phrase or sentence for someone to translate.

### Algebra Word Problems: Linear System

1. The perimeter of a rectangle is 60m. The length is 9m more than twice the width. Find the dimensions 2. Soybean meal is 16% protein; cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320lb mixture that is 11% protein? How many pounds of the cornmeal should be in the mixture? How

### Population growth - Pick a country of your choice that is experiencing population growth.(Not China, India, or United states) Using the Library, web resources, and/or other materials to find the most recent population count of the country you have chosen and the population growth rate of that country. ...

Pick a country of your choice that is experiencing population growth.(Not China, India, or United states) Using the Library, web resources, and/or other materials to find the most recent population count of the country you have chosen and the population growth rate of that country. Use that growth rate to approximate the populat

### Quadratic equations can be solved by graphing, using the quadratic formula, completing the square and factoring. What are the pros and cons of each method? When might each method be most appropriate? Which method do you prefer and why?

Quadratic equations can be solved by graphing, using the quadratic formula, completing the square and factoring. What are the pros and cons of each method? When might each method be most appropriate? Which method do you prefer and why?

### What are the steps of the order of operations? Why is it important that you follow the steps rather than solve the problem from left to right? Write an expression which can be simplified using at least three of the following: Groupings (parenthesis, brackets, or braces) Exponents Multiplication or division Addition or subtraction Also, I need help with solving this problem: 2(2-3)^3+6/3+(8-5)

What are the steps of the order of operations? Why is it important that you follow the steps rather than solve the problem from left to right? Write an expression which can be simplified using at least three of the following: Groupings (parenthesis, brackets, or braces) Exponents Multiplication or division Addition o

### Mathematics - Algebra - Quadratic Equations Problems

Solving Quadratic Equations - 2. Give exact and approximate solutions to three decimal places. (Type an exact answer, using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i. Use a comma to separate answers as needed.) 3. Give exact and approximate solutions to three decimal places

1) How do you know if a quadratic equation will have 1, 2, or no solution? 2) How do you find a quadratic equation if you are given only the solution? 3) Is it possible to have different quadratic equations with the same solution, if so why? 4) Provide two solutions in which to create a quadratic equation for.

### Quadratic Equations - 1. How do you know if a quadratic equation will have one, two or no solutions? How do you find a quadratic equation if you are only given the solution? ... 2. Quadratic equations can be solved by graphing, using the quadratic formula, completing ...

1. How do you know if a quadratic equation will have one, two or no solutions? How do you find a quadratic equation if you are only given the solution? Is it possible to have different quadratic equations with the same solution? Explain provide an example with one or two solutions with which I must create a quadratic equation?

### Differential Equations Problem Involving Implicit Differentiation

The problem is: dx/dt = (x-1)(1-2x); ln {2x-1/x-1} = t To solve this problem I must, first, verify that the indicated expression is an implicit solution of the given first-order differential equation then find at least one explicit solution. The last element of the solution is to use a graphing utility to obtain the graph

### Algebra problems

1. In 1920 the record for a certain race was 46.8 sec. In 1970, it was 45.8 sec. Let R(t)= the record in the race and t= the number of years since 1920. a. Find a linear function that fits the data b. Use the function in (a) to predict the record in 2003 and in 2006 c. Find the year when the record will be 44.8 sec 2.

Part 1: Using the Library, web resources, and/or other materials, find the average weight in pounds of a type of bird of your choice. Use the rational exponent equation L = 2.43 * W^0.3326 to estimate the wingspan L in feet of the bird that weighs W pounds (Rockswold, 2006). Include in your post the type of bird and the avera

### Gas mileage

In a family there are two cars. The sum of the average miles per gallon obtained by the two cars in a particular week is 50. The first car has consumed 20 gallons during that week, and the second has consumed 35 gallons, for a total of 1450 miles driven by the two cars combined. What was the average gas mileage obtained by each

### Algebra - Finding How Many Members In A Club

Members of a flying club plan to share equally the cost of a \$200,000 airplane. The members want to find five more people to join the the club so that the cost per person will decrease by \$2000. How many members are currently in the club?

### Working with Radicals - 1. Rewrite with rational exponents. 2. Simplify by factoring. ... [See the attached questions file]

1. Rewrite with rational exponents 2. Simplify by factoring 3. In the right triangle, find the length of the side not given. Give an exact answer and an approximation to three decimal places What is the exact value of c, what is the value of c approximated to three decimal places? 4. Multiply and simplify by

See attached 1. At a height of h meters, you can see V kilometers to the horizon. These numbers are related by the equation . A person can see 392 km to the horizon from an airplane window. How high is the airplane? 2. The formula can be used to approximate the speed r, in miles per hour, of a car that has left skid marks

Write three quadratic equations, with a, b, and c (coefficients of x^2, x, and the constant) as: 1. Integers 2. Rational numbers (Cannot use integers) 3. Irrational numbers NOTE: These must actually be equations. No credit will be given for expressions/polynomials.

### Algebra - Quadratic Equations - Practice Problems

1. Add (2v^4-4v^3+2v^2+10v-6)+ (v^5+9v^3+5v^2-2v+4) + (-5v^4+v^2-6v-10) 2. Find the vertex, the line of symmetry, the maximum or minimum value of the quadric function, and graph the function. f(x)=1/2(x+5)^2+8 -The vertex is____ -The line of symmetry is x=____ -What is the maximum/ minimum value of f(x)?___ -Is the value

### Algebra problems - 1. At the kickoff of a football game, the receiver catches the ball at the left side of the goal line and runs for touchdown diagonally across the field. How many yards would he run? (football field is 100 yards long and 160 feet wide) 2. At a large size U.S company, the profit, y is related to the number of Vice Presidents, x according to the equation y=-25 +300x. What number of Vice presidents will maximize the company profit? What is the maximum possible profit in millions? ...

1. At the kickoff of a football game, the receiver catches the ball at the left side of the goal line and runs for touchdown diagonally across the field. How many yards would he run? (football field is 100 yards long and 160 feet wide) 2. At a large size U.S company, the profit, y is related to the number of Vice Presidents,

### Word problem - Scientists are studying the temperature on a distant planet. They find that the surface temperature at one location is 25 degrees Celsius. They also find that the temperature decreases by 3 degrees Celsius for each kilometer you go up from the surface. ...

Scientists are studying the temperature on a distant planet. They find that the surface temperature at one location is 25 degrees Celsius. They also find that the temperature decreases by 3 degrees Celsius for each kilometer you go up from the surface. Let T represent the temperature (in Celsius), and let H be the height above

### Factoring a sum or difference of two cubes - 27t^3-125

Factoring a sum or difference of two cubes Factor completely: 27t^3-125

### Algebra: Solving a Word Problem

Problem: Two rainstorms occurred in one week in a certain area. In the first storm 30 ml of rain fell per hour, and in the second storm 20 ml of rain fell per hour. Rain fell that week for a total of 35 hours for a total rainfall of 900 ml. How long was each storm?

### Important to simplify radical expressions

1.Why is it important to simplify radical expressions before adding or subtracting? How is adding radical expressions similar to adding polynomial expressions? How is it different? Provide a radical expression to simplify. 2.Describe two laws of exponents and provide an example illustrating each law. Explain how to simplify t

### Investment Maximization Problem

Welgo Mutual Funds, Inc. Welgo Mutual Funds, Inc., is located in Philadelphia, Pa. Welgo just obtained \$100,000 by converting industrial bonds to cash and is now looking for other investment opportunities for these funds. Based on Welgo's current investments, the form's top financial analyst recommends that all new investment

### Flying With And Against A Jetstream

Flying against the jetstream, a jet travels 3320km 4 hours. Flying with the jetstream, the same jet travels 3810km in 3 hours. What is the speed of the jet in still air, and what is the speed of the jetstream?

### Decibels - "Loudness" is measured in decibels, DB. I = I0 * 10 DB/10 (also typed as I =I0*10^(DB/10))gives the intensity,I,of sound, where I0 is the intensity of the threshold of sound, or the sound that can barely be perceived. ... [See the attached questions file.]

"Loudness" is measured in decibels, DB. I = I0 * 10 DB/10 (also typed as I =I0*10^(DB/10))gives the intensity,I,of sound, where I0 is the intensity of the threshold of sound, or the sound that can barely be perceived. ... [See the attached questions file.]

### Gas mileage - Using web resources, and/or other materials, find the gas mileage of your dream car or any car of your choice. Let x be the number of miles driven on 50 gallons of gas. By setting up and solving a proportion involving x, find the value of x for the car that you ... [See the attached questions file.]

Part 1: Using web resources, and/or other materials, find the gas mileage of your dream car or any car of your choice. Let x be the number of miles driven on 50 gallons of gas. By setting up and solving a proportion involving x, find the value of x for the car that you have chosen. State the type of car, the mileage, and show b

### Gas mileage - 1. Using web resources, and/or other materials, find the gas mileage of your dream car or any car of your choice. Let x be the number of miles driven on 50 gallons of gas. ... 2. , also typed as D=sqrt(1.3h), can be used to approximate the distance, D, in miles that a person can see to the horizon from a height, h, in feet. Suppose that you are in an airplane. ... [See the attached questions file.]

Part 1: Using web resources, and/or other materials, find the gas mileage of your dream car or any car of your choice. Let x be the number of miles driven on 50 gallons of gas. By setting up and solving a proportion involving x, find the value of x for the car that you have chosen. State the type of car, the mileage, and show b