MM 212 Rasmussen College Creating Linear Equations Worksheet

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MAT1222 - Algebra Module 02 Creating Linear Equations Instructions: Using the knowledge from the Module 02 live lectures, answer the following questions and show ALL work for full credit. You must also explain your steps and use the equation editor to type up equations. Refer to the rubric for more detail on the grading requirements. Problem: Aaron just started a position as an elementary school teacher. He is given a starting salary of $39,450 per year. He is also told that his salary will increase to $45,370 in 8 years. Assume that 𝑥 = the years worked and 𝑦 = Salary in dollars. Using this information, find the following answers: 1) What is the rate of change of Aaron’s salary? Instructions: Find the slope by first creating two points in the form (years, salary), and then calculate the slope using the slope formula. Show all work, explanations, and answer here. 2) Create the slope-intercept equation of the line that represents Aaron’s salary. Include an explanation of what the variables represent and how you know their placement. Show all work, explanations, and answer here. 3) Using the equation you found in #2, find the value of Aaron’s salary in 16 years. Show all work, explanations, and answer here. MAT1222 - Algebra Module 04 Polynomials Instructions: Using the knowledge from the Module 04 live lectures, answer the following questions and show ALL work for full credit. It’s a good idea to also explain your steps. Make sure you are using the equation editor to show your steps. Problem: Kevin is mowing his yard. He wants to calculate the area that he needs to mow. He splits his yard into his backyard and front yard. Work through the problems below to find the total area she needs to mow. 1) Find a polynomial that describes the area of the lawn which Kevin has to mow in his front yard. The diagram shown below is his front yard. Note: There are not any obstructions in the front yard. Hint: The polynomial in your final answer should have three terms and must be completely simplified. 6𝑥 + 5 4𝑥 − 9 Show all work, explanations, and answer here. 2) Find a polynomial that describes the area of the lawn which Kevin has to mow in his backyard. The diagram below represents his backyard. The green area is where he needs to mow. He will NOT mow through the shed (the orange rectangle). Hint 1: The area of the lawn is the area of the large rectangle minus the area of the smaller rectangle. Hint 2: The polynomial in your final answer should have three terms and must be completely simplified. 10𝑥 − 2 Shed 5𝑥 − 3 𝑥−6 4𝑥 Show all work, explanations, and answer here. 3) Find the total area that Kevin needs to mow. Hint: Add the area from part (1) and (2) together to find the total area. Show all work, explanations, and answer here. 4) Using the expression in part (3), find the area of grass if 𝒙 = 𝟐𝟑 𝒇𝒕. Show all work, explanations, and answer here.
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MAT1222 - Algebra

Module 02 Creating Linear Equations
Instructions: Using the knowledge from the Module 02 live lectures, answer the following questions and
show ALL work for full credit. You must also explain your steps and use the equation editor to type up
equations. Refer to...

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