Unit 2: equations, inequalities, and problem solving unit project

 

Unit 2: Equations, Inequalities, and Problem Solving Unit Project

Solve each equation below and justify your steps using a proof table. Show your work.

1. 12x – 4(2x – 10) = 6 ­ – (x + 3)
2. 3(x – 2) + 7 = -4 + 2(x + 1)

3. Why is the same as  4x + 21=18? What property was used to rewrite x

4. Fishing Adventures rents small fishing boats to tourists for day­long fishing trips. Each boat can only carry 1500 pounds of people and gear for safety reasons. Assume the average weight of a person is 150 pounds. Each group will require 200 lbs of gear for the boat plus 10 lbs of gear for each person.

a. Create an inequality describing the restrictions on the number of people possible in a rented boat. Solve the inequality, write your answer in interval notation, and graph the solution set.
b. Several groups of people wish to rent a boat. Group 1 has 4 people. Group 2 has 5 people. Group 3 has 8 people. Which of the groups, if any, can safely rent a boat? What is the maximum number of people that may rent a boat?

5. The table below gives recommended weight ranges for the balls from five different sports. (Hint: Find the average of each weight.)

Sport

Weight range of ball used

Volleyball

260-280 grams

Basketball

600-650 grams

Water Polo

400-450 grams

Lacrosse

142-149 grams

Football

14-15 ounces

a. Write an absolute value inequality for the weight range of each ball.
b. For each ball, write an absolute value inequality describing the weights of balls that are outside the recommended range.

 STATEMENTS REASONS 4(x+1) – 2x = -6(x-1) + 14 Given 4x + 4 – 2x = -6x + 6 + 14 Distributive property 2x + 4 = -6x + 20 Combining like terms 8x + 4 = 20 Addition property of equality 8x = 16 Subtraction property of equality x = 2 Division property of equality 

 Question 1 Uses two­ column proof format 1 point Shows 6 correct statements including given 5 points Shows 6 correct reasons including given 5 points Total 11 points Question 2 Uses two­ column proof format 1 point Shows 5 correct statements including given 4 points Shows 5 correct reasons including given 4 points Total 9 points Question 3 Explains why equations are equal 1 point Identifies correct property of equality 1 point Total 2 points Question 4 Writes inequality for the problem 1 point Correct solution to inequality 1 point Inequality written in interval notation 1 point Correct graph of inequality 1 point Correct groups identified in part b 1 point Correct maximum number of people 1 point Total 6 points Question 5 Absolute value inequality written for each ball range 5 points Absolute value inequality written for excluded values for each ball 5 points Total 10 points 

Punctual Essays
Calculate your paper price
Pages (550 words)
Approximate price: -

Why Work with Us

Top Quality and Well-Researched Papers

We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.

Professional and Experienced Academic Writers

We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.

Free Unlimited Revisions

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.

Prompt Delivery and 100% Money-Back-Guarantee

All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.

Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.

24/7 Customer Support

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

Calculate the price of your order

Total price:
$0.00

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.

Our Services

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.

Essays

Essay Writing Service

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.

Admissions

Admission Essays & Business Writing Help

An admission essay is an essay or other written statement by a candidate, often a potential student enrolling in a college, university, or graduate school. You can be rest assurred that through our service we will write the best admission essay for you.

Reviews

Editing Support

Our academic writers and editors make the necessary changes to your paper so that it is polished. We also format your document by correctly quoting the sources and creating reference lists in the formats APA, Harvard, MLA, Chicago / Turabian.

Reviews

Revision Support

If you think your paper could be improved, you can request a review. In this case, your paper will be checked by the writer or assigned to an editor. You can use this option as many times as you see fit. This is free because we want you to be completely satisfied with the service offered.

See all services