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    Basic Algebra

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    Algebra - Simplifying Surds

    Simplify the following expression as much as possible: 6x√ 5t^3 + t √45tw^2 Assume that all variables represent positive real numbers.

    Algebra Problems - Work and Time

    There are 630 dishes that need to be rinsed. John can rinse them in 105 Minutes by himself. It will take his friend Bob 70 minutes to rinse these dishes. How long will it take them it they rinse these 630 dishes together (see attachment)

    Exponential and Logarithmic Functions

    Part 1: Using the Library, web resources, and/or other materials, find the logarithmic formula that gives the pH of a substance. State what each variable in your equation represents. Find the pH of a substance of your choice that is alkaline (basic). Using this pH, show how to find the hydrogen ion concentration, [H+], of the

    Word problems on linear and quadratic equations

    See attachment 114. Diameter of a circle. If the diameter of a circle is 1.3 x10^-12 meters, then what is its radius? 94. Perimeter of a rectangle. The width of a rectangular playground is 2x x- 5 feet, and the length is 3x + 9 feet. Write a polynomial P(x) that represents the perimeter and then evaluate this perime

    Inequality - 1. The body mass index, I, can be used to determine an individuals risk for heart disease. An index less than 25 indicates a low risk. The body mass index given by the formula, or model, I = 700W/H2, (H2 means to the second power) where, W= weight in pounds, and H= height, in inches. Francis weighs 181 pounds and stands 74 inches tall. What is his approximate body mass index? Find an inequality describing all weights W that Francis can have and be in the low risk category. 2. Bayside insurance offers two health plans. Under plan A, Giselle would have to pay the first $170 of her medical bill, plus 40% of the rest. Under plan B, Giselle would have to pay the first $240, but only 35% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over $240 in bills. 3. In order to receive maximum results from aerobic exercise, one should maintain ones heart rate at a certain level. A 30 year old women with a resting heart rate with 65 beats per minute should keep her heart rate between 140 and 165 beats per minute while exercising. She checks her pulse 10 seconds while exercising. What should the number of beats be? Between ___ and _____ BPM

    Assistance with attached problems 1. The body mass index, I, can be used to determine an individuals risk for heart disease. An index less than 25 indicates a low risk. The body mass index given by the formula, or model, I = 700W/H2, (H2 means to the second power) where, W= weight in pounds, and H= height, in inches. Francis

    Factoring

    See attachment for equations: t^3* y^4 - t^3

    Order of operations - 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 for someone to simplify using at least three of the following: o Groupings (parenthesis, brackets, or braces) o Exponents o Multiplication or division o Addition or subtraction

    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 for someone to simplify using at least three of the following: o Groupings (parenthesis, brackets, or braces) o Exponents o Multiplication or division o Addition

    Finding Model size

    Monica is building a model of an airplane. If the scale is 3/4 inches to 1 foot, what length on the model represents 4 1/2 feet? ___ in integer, proper fraction, or mixed number

    Height of a tree

    How high is a tree that casts a 33 ft shadow at the same time a 5 ft post casts a shadow which is 3 ft long? The Tree's height is __ ft? Round to the nearest tenth,if necessary

    Algebra and Long Division

    Perform the following division: (15x^4 - 8x^3 + 9x^2 - 16) / (5x + 4). Write your answer in the form Q(x) + R(x)/(5x + 4).

    Monthly Cost of Water Consumption

    Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF). When graphed, the function gives a line with a slope of 1.65. If the monthly bill for 21 HCF is 27.51 what is the monthly bill for 26 HCF?

    Applying Algebra in Daily Routines

    In your work or personal life, what are some common applications of algebra? If you don't have first-hand knowledge of these applications, then how do you perceive it being used? If you're feeling really motivated, please give an example equation with your example.