UW Stout MATH 110 - Lecture Notes (25 pages)

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Lecture Notes



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Lecture Notes

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Pages:
25
School:
University of Wisconsin-Stout
Course:
Math 110 - Intermediate Algebra
Intermediate Algebra Documents

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REMINDER When you go to the open lab next door in 203 please make sure you sign in on the log sheet and enter your instructor s name and your section number We need to collect this information to document lab usage and ensure future funding for tutors Removable stickers with tutoring schedules are still available If you haven t gotten one yet get one from the TA now and stick it on your laptop Emergency Log In The next few slides has the information for an emergency log in site to access homework practice quizzes etc Since the Course Compass features are being converted to Pearson MyLab and Mastering a new emergency log in site may be available later in the semester For now we will use the following Any questions on the Section 1 4 homework that was due today Now please CLOSE YOUR LAPTOPS and turn off and put away your cell phones Sample Problems Page Link Dr Bruce Johnston Section 2 1 Linear Equations in One Variable Section 2 1 An algebraic equation is a statement that two expressions have equal value Solving algebraic equations involves finding values for a variable that make the equation true Equivalent equations are equations with the same solutions Example x 1 5 and 3x 1 19 are equivalent equations because plugging in x 6 makes both of them true A linear equation in one variable can be written in the form ax b c a 0 Examples 3x 2 8 5x 7 14 29 8y 71 12z 100 Solving linear equations in one variable 1 2 3 4 5 Multiply to clear fractions if there are any Simplify each side of equation by distributing where necessary and then combining like terms Get all variable terms on one side and number terms on the other side of equation addition property of equality Get variable alone multiplication property of equality ALWAYS check solution by substituting into original problem Sample problems link Example 1 Solve 8 z 8 8 8 z 8 8 z 16 Add 8 to each side Simplify both sides NOW CHECK plug z 16 into the ORIGINAL equation 8 z 8 8 16 8 Example 2 Solve 3a 2a 7 4a 5a 7 4a



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