# MATH062 All Weeks Discussions Latest September 2018

**MATH062 Beginning Algebra**

**Week 1 Discussion **

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Fractions in Everyday Life

Fractions and mixed numbers are often used in our everyday lives. For example, today I ran 3 1/2 miles. Discuss a real-life example in which you would need to add, subtract, multiply, or divide fractions or mixed numbers. Your post should include the following:

An expression representing your given scenario.

A step-by-step explanation detailing how you simplified your expression.

**MATH062 Beginning Algebra**

**Week 2 Discussion **

Translating Verbal Expressions

The language of math is used all around us, everyday. Verbal phrases can be translated into mathematical expressions. For example, you can write an expression to represent how much a realtor will earn at a 5% commission on a house that costs x dollars as: .05x. For this discussion, create a verbal phrase to describe a real-world scenario and translate it into a mathematical expression.

**MATH062 Beginning Algebra**

**Week 3 Discussion **

Expressions and The Order of Operations

It’s not uncommon for students to ask, “When will I actually use this in my daily life?” When it comes to the Order of Operations, chances are, you’ve probably used this concept before.

For example, say you want to buy a $5 bottle of lotion for 10 family members and 4 friends from work. How much money do you need to budget? To figure this out, you need to use the Order of Operations:

5 * (10 + 4)

= 5 * 14

= $70

If you don’t use the Order of Operations, your answer will be off:

5 * 10 + 4

50 + 4

= $54

Now it’s your turn to develop your own “real-world” scenario that illustrates the Order of Operations. Your post should include the following:

A mathematical expression that represents your unique scenario.

A step-by-step explanation of how the Order of Operations is used to find your answer.

**MATH062 Beginning Algebra**

**Week 4 Discussion **

Let’s Look at Ratios

Did you drive to work today? If you did, you used a ratio. Driving 30 miles per hour involves a ratio of two numbers. It can be written as a fraction: (30 miles)/(1 hour), or the way we most commonly see it: 30 mph. Let’s start the discussion this week by identifying other ratios we see in our everyday lives. Think of an example of a ratio you use in your life. List the ratio, explain its meaning, and don’t forget to include its fraction equivalent.

**MATH062 Beginning Algebra**

**Week 5 Discussion **

Understanding Equations

Being successful in mathematics requires understanding as opposed to simple memorization. For example, the formula to find the perimeter of a rectangle is P = 2L + 2W (where L is length and W is width). Memorizing the formula could be helpful, but if we understand that the perimeter is the distance around the rectangle, we are able to construct the formula and apply it to real-world situations correctly.

Find another formula that you use in your daily life, and explain the meaning behind it.

For example, the formula to calculate sales tax on a purchase is sales tax = 0.0825x. The coefficient, 0.0825, is the current tax rate of 8.25%. The variable, x, is the amount of your purchase.

**MATH062 Beginning Algebra**

**Week 6 Discussion **

Linear Relationships

Have you ever ridden a bike uphill? Have you ever skied down a mountain? If so, you know what slope is all about! And “rate of change” is just a way of asking for the slope in a real world problem; that is the focus of this discussion.

For example, say you currently weigh 170 pounds, and plan to follow a new diet plan that will allow you to lose 2 pounds per week. The model for your weight is:

y = -2x +170, where x = number of weeks on your diet. What is the rate of change? The rate of change or slope is -2.

Create a linear relationship (equation) that you would use or rely on in your field or everyday life and explain what it is and how it is used. Identify the initial condition, such as your starting weight, and the rate of change. For a linear equation, the rate of change (slope) needs to be constant.

**MATH062 Beginning Algebra**

**Week 7 Discussion **

Exponents and Polynomials in the Real World

The use of complex math, including exponents, is instrumental in many fields. Exponents are used in scientific, financial and economic applications. Such math is also used to solve problems and make predictions in your personal life as well. One important formula that requires the understanding of exponents is the Present Value Formula.

Present Value, PV, is a widely used formula that calculates the present day value of an amount that is received at a future date.

The Present Value Formula is:

PV = PV is the present value that will amount to FV dollars in n years at interest rate r compounded annually.

For this discussion, think of something you want or need that has a future cost between $5,000 and $90,0000. For example, maybe you want to save up for your child’s college education or maybe you want to save for a cabin on the lake. Assume you have an investment, which provides between 6% and 11% interest compounded annually, and you want to purchase your desired item in 15 years. What is the present value? In other words, how much money do you need to invest today?

State the following in your discussion:

1) The FV or cost of the desired item in n = 15 years.

2) The interest rate, r, you will earn on your investment (use an annual rate between 6% and 11%)

3) Set up the formula and solve for the present value, PV, showing all work.

**MATH062 Beginning Algebra**

**Week 8 Discussion **

Math in the Real World

It’s not hard to find interesting examples of math in the real world because math is everywhere. Including advertising. Whether an airline is touting the amount you will save flying with them or a toothpaste company is informing you that 4 out of 5 dentists recommend their product, using math is one way advertisers try to get you to buy their product or service.

For this final discussion, go online and find an advertisement that uses math. Provide the link to the advertisement and explain how the advertisement uses math. Do you think this is an effective way to promote their product? Why or why not?