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# Basic Algebra

### Algebra: The rational expression

Please help with the following problem. I recently read an obituary of Paul MacCready, the father of human powered aircraft. He invented the Gossamer Albatross, an aircraft which successfully flew the English Channel under human power (a cyclist turning the propeller). The aircraft flew from Folkestone, England to Cap Griz

### Alternate ways to solve a problem

Read the problem below. Then, describe two or more alternate ways to solve this problem. A farmer sends his daughter and son out into the barnyard to count the number of chickens and pigs. When they return the son says that he counted 200 legs and the daughter says she counted 70 heads. How many pigs and chickens does the f

### Pythagorean theorem is utilized.

1.The formula r=2sqrt(5L) can be used to approximate the speed r, in miles per hour, of a car that has left skid marks of length L, in feet. How far will a car skid at 30mph? 2.What does it mean to refer to a 20 inch TV set or a 25 inch TV set? Such units refer to the diagonal of the screen. A 25 inch TV set also has a wid

### Algebra: Equations

1. How can you determine whether a system has no solution by graphing? 2. Solve by graphing: y=x-3 y=-x+1 3. Solve by the substitution method. Determine whether the equations are independent, dependent, or inconsistent. 3y-x=0 x-4y=-2 4. Ticket sales. Tickets for a concert were sold to adults for \$3 and

### Assessing the Area of a Rectangle

1. A rectangular box with volume 7 cubic metres has a square base with side length x metres. Express the surface area S of the box as a function of x. S=_______ 2. The diameter of a spherical balloon is 8 cm. Air is pumped into the balloon to increase its diameter by x cm. Express the increase in volume of air inside the

### How fast does each bicyclist travel?

1. Kathy bicycles 5 km/h faster than Javier. In the same time it takes Javier to bicycle 57 km, Kathy can bicycle 72 km. How fast does each bicyclist travel? 2. The office jet printer can copy Lisa's dissertation in 8 min. The laser jet printer can copy the same document in 10 min. If the two machines work together, how

### Algebra

1. Graph y=x-1 List at least five points on the line 2. Graph 2x+y=6 Find the x and y intercepts. 3. Find the slope of the line through (1/3, 2) (-1/3, 1) 4. Graph the line through (2,3) with slope 1/2 . 5. Write an equation for the line in the following graph. Use slope and intercept form if possible. (

### Need Assistance with Algebra

Show all work, and use Equation Editor or MathType to format all equations. 2.1-56 Solve 2.2-36 Solve 2.3-86 Solve 2.4-30 Solve for x. 2.4-84 Finding the list price. Find the list price if there is a 12% discount and the sale price is \$4400. 2.5-20 Write an algebraic expression for two numbers that d

### Additional and Multiplication Principles Solving

I need help with the problems in the attached document. Please provide step-by-step instructions so that I can check my problems to make sure I did them correctly. 1. Solve x - 3 = -7 2. Solve x - 5 = 25 3. Using the addition principle solve 15 = n - 2. Be sure to check. 4. Solve using the multiplication principle. Be sur

### Give an example of a logarithmic equation that can not be solved and explain why it can not be solved.

1. Solve for x in the following equations. a. log-base-3(x - 5) + log-base-3(x + 3) = 2 b. log-base-7(x) + log-base-7(x - 1) = log-base-7(2x) 2. Show that the following statement is true. Please refer to the attachment for the statement. 3. A quantity of oxygen gas had 16.32g of the radioactive isotope oxygen-19 i

### Steps to Solve Linear Equations

Discuss the following: I. Given a 1-variable linear equation 10z-4=86. Explain the techniques, and show the steps used for solving this equation. Check if the solution is correct. II. Using the same 1-variable linear equation in I above, change the linear equation to a linear inequality (Use either < or >). Explain the tec

### Females who Live with Non-relatives

The table below shows where people over 65 in the US live. A total of 23% of elderly men live either alone or with relatives. The sum of double the percent of men who live alone and triple the percent who live with relatives exceeds the percent of US women over 65 who live with their spouse by 13%. What percent of elderly men

### Ordered Pair Solution and Graphing

Chalkboard Activity Please pick 5 questions from the list below. Solve those 5 problems, showing your work, and submit them to your Individual Forum. ________________________________________ Problem Set 1 (choose one) 1. Decide if the ordered pair (-3,5) is a solution to 9x + 7y = 8 and 8x-9y = -69 2. Decide if the

### Hello (Week 2)

Please help with my review class. This is supposed to be elementary Algebra, but I am having a hard time understanding it. Please help me to understand better and if are able to help please explain so that I can understand it. Thank you.

### Applying Exponential Growth & Decay Rates

1. Each year the local country club sponsors a tennis tournament. Play starts with 128 participants. During each round, half of the players are eliminated. How many players remain after 5 rounds? At what round the tournament canâ??t be played? Chart the decay rate. 2. In one locality, the H1N1 flu (aka swine flu) sp

### Land trust has received a \$130,000 donation to save flying squirrels.

A land trust has received a \$130,000 donation to save flying squirrels. They have identified five different areas to target as ecological reserves for flying squirrels. Three of the projects are in Oregon and two are in Washington. Each of the Oregon reserves would require a \$70,000 investment and would each provide habitat f

### Solving for x variables

Chalkboard Activity Please pick 5 questions from the list below. Solve those 5 problems, showing your work, and submit them to your Individual Forum. ________________________________________ Problem Set 1 (choose one) Solve for x or y - 1. 2x+10= -5+x 2. 13-3+9x=10x 3. 2(10-2x)= -3

### Mathematics Problems

1. On a trip to the supermarket you buy an economy pack of Soft-4-U toilet tissue. At home you read this information on the side of the pack: 12 rolls 2 ply tissue Average 225 sheets per roll Sheet size 125 mm x 110 mm This sets you thinking about the size of the toilet rolls before you unpack them. (a) Assumin

### Application for Amber

The amazing Amber. Amber has been amazing her friends with a math trick. Amber has a friend select a three-digit number and reverse the digits. The friend then finds the difference of the two numbers and reads the first two digits of the difference (from left to right). Amber can always tell the last digit of the difference. E

### A Discussion On Exponential and Logarithmic Functions

1. Convert the following equations into logarithmic form: a. 2 = 6x b. 7 = 6y c. 9 = 3y d. X = 8y 2. Convert the following equations into exponential form: a. X = log54 b. 7 = log6Y c. X= log8Y d. 90 = log4Z 3. Simplify the following expressions: a. X

### A number of algebra practice questions and solutions

Evaluate. ((-1)2 - 3)3 + 5 · (-5) Simplify the following expression: When converting from Fahrenheit degrees to Celsius degrees , a well known formula is used: . Solve for . Simplify. Simplify. Simplify. Write your answer without parentheses. Rewrite the following without an exponen

### A number of algebra questions and solutions

A number of high school/college algebra questions and solutions including factorization and solving simulataneous equations, 11 questions in total

Application Assignment #4 (Quadratic Equations) Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting. Part 1 Mrs. Thom

### Algebra Problems: finding the product

Please do not send answers in PDF Format 1. Find the following product: 5x2y(-4x5y4) - 5x2y - 4x5y4 - -20x10y4 - X7 y5 - -20x7y5 2. Short Answer. Find the following product: 6z (6z3-9z2+4) 3. Find the following product: (x - 8)(x + 8) - x2 +64 - x2 - 16x -64 - x2 + 16x -64 - x2 - 64 4. Short Answer. Fi

### Toxic Pollutants Formula and Driving Marathon Expressions

1. Toxic pollutants: The annual cost in dollars for removing p% of the toxic chemicals from a town's water supply is given by the formula: C(p)= 500.000/(100 - p) a) Use the accompanying graph to estimate the cost for removing 90% and 95% of the toxic chemicals. b) Use the formula to find C(99.5) and C(99.9). c) What

### Solve: Rational Exponents and Radicals

What is a rational exponent? How are rational exponents related to radicals? Give an example of how an expression with a rational exponent can be rewritten as a radical expression. Explain how the process of combining radicals through addition and subtraction is similar to combining polynomials. What makes two radicals like radi

### Graph the parabola using the quadratic formula

(2-(-2)^)^ - 5 x 4 -(4w + u) - 4 (6u + 4w) The surface area of a right prism is given by , where is the area of the base, is the perimeter of the base, and is the height of the prism. Solve for . Solve for . Simplify your answer as much as possible. . Write

### Rational expression, Rational equation, Polynomial

A. Choose an example of a rational expression, and present a step by step solution. B. Under what situation would one or more solutions of a rational equation be unacceptable? C. Define a polynomial and a rational expression. What makes a rational expression unique? Provide two original examples of a rational expression an

### Exhibiting Rational Expressions

(1) Explain how multiplying and dividing rational expressions is similar to multiplication and division of fractions. Give an example of each and compare the process. (2) When simplifying the rational expression (x+8)/(x+2), explain why it is improper to cancel out the x's. State a general rule for canceling factors in a rati

### GCF of Monomials and Expressions

Please show all work for all problems listed. Thank you This will help me with future problems like these. Find the GCF of the monomials. 16x2z, 40xz2, 72z3 Factor the GCF of expression. 15x2y2 - 9xy2 + 6x2y a(a + 1) - 3(a + 1) Factor each polynomial completely. x3y + 2x2y2 + xy3 Use grouping to factor e