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# Basic Algebra

### Basic Algebra: Graphing, Trends and Forecasting - MTH133 Unit 3

1) Solve the following algebraically. Trial and error is not an appropriate method of solution. You must show all your work. Learn how to type math roots and fractions by clicking on link in the assignment list. Alternately, you may type as cuberoot(x) and show raising to the nth power as ^n, like x 3 is typed x^3. 2)

### Algebra : Writing Equations from Word Problems

In 4 years Gasper will be old enough to drive. His parents said that he must have a driver's license for 2years before he can date. Three years ago Gasper's age was only one half of the age necessary to date. How old must gasper be to drive, and how old is he now?

### Functions : Graphing, Asymptotes and Transformations ( MTH133 - Unit 4 )

Please see the attached file for the fully formatted problems. 1) State the domain of the following and provide a brief explanation for your answer: a) Answer: b) Answer: c) Answer: d) Answer: e) Answer: 2) Suppose the graph of is shifted to obtain each the following graphs. What is the e

### Logarithms and Exponents Word Problems

1. a. Write 43 = 64 in logarithmic form. 2. Solve algebraically; 3. Write in terms of logarithms of x, y and z. 4. Rewrite as a single logarithm: 5. The population of a town is modeled by the equation where t is measured in years. In what year will the population be 25,000? 6. The population of the United States tends to

### Algebra, Solving Systems of Equations and Inequalities, Writing Equations from Word Problems (20 Problems)

SOLVE EACH OF THE FOLLOWING PROBLEMS: #1 Solve the following equation set by substitution: 3x - y = 5 -6x + 2y = 1 #2 Determine the solution set to the following inequality and express using interval notation. x > 1 and x <= 6 #3 Translate the following verbal expression into an algebraic equation with a

### Equations and Inequalities Model Situations

You are planning on applying for a job with ABC Advertising. Many business decisions are based on unknown quantities, known as variables, encountered in business, economics, and social science. Thus, before the interview, you want to brush up on your knowledge of linear equations and linear inequalities. Complete the following.

### Graphing and Solving Systems of Inequalities: Ordered Pairs

Let's say you are a hospital dietitian. A patient must have at least 165 milligrams and no more than 330 milligrams of cholesterol per day from a diet of eggs and meat. Each egg provides 165 milligrams of cholesterol and each ounce of meat provides 110 milligrams of cholesterol. I don't know how to graph the system of inequalit

### Mathematics - Functions : Transformations and Inverses

1. Given f(x)= 4x-7, g(x)= 2x - x2, and G(x)= 3/x/+2, find f(-1) + g(3) 2. Determine if the equation y2= x2 defines y as a function of x. Justify your answer 3. Sketch by hand a graph of a function f that is decreasing on [-4,2], constant on [-2,1], and increasing on [1,2] 4. The volume of a right circular cone is given

### Equations and lines

1. find the slope-intercept equation of the line that has the given characteristics. slope 6 and y- intercept (0,3) The slope- intercept equation is y= 2. Find the slope- intercept equation of the line that has the given characteristics. Slope 8.8 and y-intercept (0,-4) The slope -intercept equation= . (Use integers or

### Algebra: Antiderivative

The concentration, C, in ng/ml, of a drug in the blood as a function of the time, t, in hours since the drug was administered is given by C = 16te^(-0.5t). The area under the concentration curve is a measure of the overall effect of the drug on the body, called the bioavailability. Find the bioavailability of the drug between t

### Radical Functions and Linear Equations

1) Solve the following algebraically. Trial and error is not an appropriate method of solution. You must show all your work. Learn how to type math roots and fractions by clicking on link in the assignment list. Alternately, you may type as cuberoot(x) and show raising to the nth power as ^n, like x 3 is typed x^3. a)

1) Solve the following by factoring; find the solutions, factoring alone is not the objective of the problems: a) Answer: Show your work here: b) Answer: Show your work here: 2) If , find: a) f(2) Answer: Show your work here: b) f(-3) Answer: Show your work here: 3) Solve

### Polynomials, Parabolas and Word Problems

For the polynomial P(x) = 4x2 + x + 3 1 a. What is the degree of P(x)? b. What is the coefficient of the leading term? c. What is the coefficient of the linear term? d. What is the value of P(2), that is, the expression P(x) evaluated at x = 2?

MTH133 Unit 2 Individual Project 1) Solve the following by factoring; find the solutions, factoring alone is not the objective of the problems: a) Answer: Show your work here: b) Answer: Show your work here: 2) If , find: a) f(2) Answer: Show your work here: b) f(-3) Answer: Show

### Solving Equations and Word Problems

Please see the attached file for the fully formatted problems. 1. Solve . You must show all work to receive full credit. Show work here: Final Answer: 2. Solve . You must show all work to receive full credit. Show work here: Final Answer: 3. The cell p

### Conjugate of a Cube Root

Please see the attached file for the fully formatted problems. I need to know the conjugate of a cube root for my test in school. I can't figure out what the middle term is to complete the answer "x-b3". I was able to figure out the first and

1. Find the domain of each square root. f (x)=square root 8-2x 2. Multiply and simplify assume that all variables in a radicand represent positive real numbers no radicands involve negative quantities raised to even powers. Here is the problem square root 5xy times square root 10xy2. 3. Add or subtract as indicated. Here i

### Algebra Word Problem: Zombie Attack!

The zombie apocalypse is upon you! Zombies are showing up at a rate of 15 zombies per hour, and their numbers are increasing by 5 zombies every 3 hours. On average you can kill 35 zombies per hour. Help is going to arrive in 15 hours, will you be overrun before the help arrives?!?!

### Graphing and Solving Equations and Inequalities

1) Solve the following algebraically. Trial and error is not an appropriate method of solution. You must show all of your work: a) 2x + 5 = 9 Answer: x=2 Show your work here: 2x=9-5 X=4/2 X=2 b) Answer: x=-3 Show you

### Absolute Value, Polynomials, and Radicals

Please help with the attached problems and show work so that I can understand the steps. Calculate the value of |3.7| + |-2.1|. (do not include any absolute value symbols.) Calculate the distance between the points and on the number line. Show work. Write the interval notation corresponding to the set notation {x |

### Solve inequality and sketch the graph

Please file attach. The final answer is b. Please explain in detail what the difference between a and b is?, if there is even a difference? Also, what rule allows you to take a and rewrite as b. I know how to graph inequality so please no need to show graph. I'm basically a confused because if I was doing problem

### Vertex, Asymptotes and Intercepts of Quadratic Equations

D) The value of f(x) = 12 is a) minimum b) maximum 5) Find the x-intercepts and the y-intercepts a) The x-coordinates of the intercepts are x=??? b) The y intercepts is ??? 6) Find and label the vertex and line of the symmetry. a) The vertex is ??? (type in an ordered pair) b) The equation of

### Exponential and Logarithmic Functions

For the exponential function e^x and logarithmic function log x, graphically show the effect if x is halved.

### Radicals and Rational Exponents (7 Problems)

1) Solve the following algebraically. You must show all your work. 2) Solve algebraically and check your potential solutions: sqrt(x +20) -x = 0 3) a) Show the steps that you would take to solve the following algebraically: b) What potential solution did you obtain? Explain why this is this not a solution. 4) For the

### Find the domain and range of the functions.

1.)f(x,y)= e^(x^2 - y) 2.)f(x,y,z)= x^2 ln(x-y+z) 3.)f(x,y,z)= xsin(y+z)

### Designing and Solving an Algebra Problem

Using your home as inspiration, design a word problem that can be solved using an algebraic equation. In preparing your problem, consider how much information is needed to solve the problem, how to best present that information and how much information to present (it might be more!). Please show all of your solution steps an

### Word problems on Dental services, Retirement pay, Direct deposit, Bonus and taxes, Books and magazines

Question 1 Dental services. The national cost C in billions of dollars for dental services can be modeled by the linear equation C = 2.85n +30.52, Where n is the number of years since 1990 (Health Care Financing Administration, www.hcfa.gov). a) Find and interpret the C-intercept for the line. b) Find and interpret the

### Algebra word problem about discount percentages

A man wants to buy a new winter suit and finds one he really likes, but it's too expensive. So he decides to wait. After thanksgiving, the price of the suit is marked down by 35%, but he waits. Just before Christmas, the store offers a sale on everything as 15% off the marked price. but he waits. For the after Christmas clea

### Explain in your own words why the line x = 4 is a vertical line.

50-word response to the following: Explain in your own words why the line x = 4 is a vertical line. show an example?