Algebra Chapter 4 Solving Linear Equations 1. Definitions Linear Equation Solution Property of Equality 2. Solving Linear Equations Distributive Property Eliminating Fractions 3. Solving for One Variable in a Formula 4. Summary: Process for Solving Linear Equations 5. Worked out Solutions for Exercises 4.1 Definitions: Linear Equations: An equation is a statement that two expressions have the same value:
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❶AGE PROBLEM In three more years‚ Miguel’s grandfather will be six times as old as Miguel was last year. When Miguel’s present age is added to his grandfather’s present age‚ the total is68. How old is each one now? This exercise refers not only to their present ages‚ but also to both their ages last year and their ages in three years‚ so labelling will be very important. I will label Miguel’s present age as "m" and his grandfather’s present age as "g". Then m + g = 68. Miguel’s age "last year"
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Inequalities are equations that can be used to determine not just what something could equal but what something cannot equal. It tells us what the relative size is of two values and if they are big or small‚ too much or not enough. Inequalities could make it easier to determine how much someone might need of something in order to make a certain amount of something‚ while also determining how much more might be needed or how much be left. For example‚ if someone wanted to make cupcakes and flat
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Algebra I Chapter 5 Study Guide Writing Linear Equations Name ________________ Due: Tuesday‚ January 17 (Exam week) 100 points Writing Linear Equations in a Variety of Forms Using given information about a __________‚ you can write an ________________of the line in _____________ different forms. Complete the chart: Form (Name) Equation • • Important information The slope of the line is ____. The __ - ___________ of the line is _____. The slope of the line is _____. The line
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Two Variable Inequalities Melissa Hillard MAT222: Intermediate Algebra (GSQ1331C) Instructor Lisa Wallace August 10‚ 2013 Two Variable Inequalities For this assignment the class was asked to solve problem 68 from page 539 of our textbook Elementary and intermediate algebra (Dugopolski‚ 2012). Problem 68 tells the number of refrigerators and TV’s that will fit inside of an 18 wheeler truck. The class is asked to write an inequality to describe the region of the graph that is shaded in
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Two-Variable Inequalities Kathleen Kent MAT 222 Week 2 Assignment Guillermo Alvarez September 22‚ 2014 Two-Variable Inequalities This week’s assignment will show how two-variable inequalities can be used in real-world scenarios by using independent and dependent variables. This week’s assignment will use graph representations and show how the two-variable inequalities can be incorporated into several problems to show how many of each item trucks can ship without going over
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TWO-VARIABLE INEQUALITY MAT 221 Joseph Oslakovic February 16‚ 2014 TWO-VARIABLE INEQUALITY This week we are learning about two-variable inequalities as they pertain to algebraic expressions. The inequality can be graphed to show the values included in and excluded from a given range of numbers. Solving for inequalities such as these is a critical skill in many trades which can save or cost a company a lot of time and money. Ozark Furniture Company can obtain at
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Forum #2: Linear Equations in Real Life Pick one of the following problems. Show how you would solve it using a system of linear equations. 1) John spent $201 shirts and pants for work. Shirts cost $27 and pants cost $22. If he bought a total of 8 articles of clothing‚ then how many of each kind did he buy? 2) A school dance has 228 students. There are 63 fewer girls than twice as many boys. How many boys and girls attended the dance? 3) There are 15 animals in the barn. Some are ducks and some
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by a child per day (X) and the child weight (Y). Included you will find a table containing the information on 5 of the children. Use the table to answer the following: Child Number of meals consumed per day (X) child weight (Y) X² Y² XY Ahmad 11 8 121 64 88 Ali 16 11 256 121 176 Osama 12 9 144 81 108 Husien 19 13 361 169 247 Total 58 41 882 435 619 a. Determine the simple linear regression equation. b. Determine the correlation coefficient. Interpret it
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Two Variable Inequality MAT 221 11 May 2012 The purpose of this week’s assignment is to determine how many maple rocking chairs the Ozark Furniture Company can make. We will also plot the inequalities of this on a graph. Here is the information and first set of problems for the text: Maple rockers. Ozark Furniture Company can obtain at most 3000 board feet of maple lumber for making its classic and modern maple rocking chairs. A classic maple rocker requires 15 board
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