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

Struggling to find relevant content? Order a custom essay on
Unit 2: Equations, Inequalities, and Problem Solving Unit Project
Let our experts save you the hassle
Order Now
Calculate the price
Make an order in advance and get the best price
Pages (550 words)
$0.00
*Price with a welcome 15% discount applied.
Pro tip: If you want to save more money and pay the lowest price, you need to set a more extended deadline.
We know how difficult it is to be a student these days. That's why our prices are one of the most affordable on the market, and there are no hidden fees.

Instead, we offer bonuses, discounts, and free services to make your experience outstanding.
Sign up, place your order, and leave the rest to our professional paper writers in less than 2 minutes.
step 1
Upload assignment instructions
Fill out the order form and provide paper details. You can even attach screenshots or add additional instructions later. If something is not clear or missing, the writer will contact you for clarification.
s
Get personalized services with GPA Fix
One writer for all your papers
You can select one writer for all your papers. This option enhances the consistency in the quality of your assignments. Select your preferred writer from the list of writers who have handledf your previous assignments
Same paper from different writers
Are you ordering the same assignment for a friend? You can get the same paper from different writers. The goal is to produce 100% unique and original papers
Copy of sources used
Our homework writers will provide you with copies of sources used on your request. Just add the option when plaing your order
What our partners say about us
We appreciate every review and are always looking for ways to grow. See what other students think about our do my paper service.
Social Work and Human Services
Great Job!
Customer 452587, October 27th, 2021
Communications
Thank you very much
Customer 452669, November 17th, 2021
Social Work and Human Services
Excellent work
Customer 452587, September 4th, 2021
Other
GREAT
Customer 452813, June 25th, 2022
Social Work and Human Services
Excellent Work!
Customer 452587, August 24th, 2021
Nursing
Everything was done perfectly. Thank you.
Customer 452707, June 15th, 2022
Social Work and Human Services
Excellent Work
Customer 452587, November 22nd, 2021
Other
GOOD
Customer 452813, July 10th, 2022
Other
GREAT
Customer 452813, June 20th, 2022
Social Work and Human Services
Great Work!
Customer 452587, August 31st, 2021
Social Work and Human Services
The paper is impressive. Very professional and per the instructions
Customer 452533, May 24th, 2021
Nursing
Always on time and a life saver for sure!!!!!!!!!!!!
Customer 452453, October 22nd, 2021
OUR GIFT TO YOU
15% OFF your first order
Use a coupon FIRST15 and enjoy expert help with any task at the most affordable price.
Claim my 15% OFF Order in Chat
error: Content is protected !!

Save More. Score Better. Use coupon code SPECIAL for a 15%discount