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This guide by Lori Edwards teaches how to solve equations using equality properties, comparing it to real-life situations. It emphasizes the importance of algebra in diverse exciting careers. Learn the skills needed and master the Addition and Multiplication Properties of Equality to solve equations effortlessly. Use examples and strategies to tackle equations efficiently and make algebra enjoyable and engaging. Discover the fun in algebra with practical applications and fun facts!
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Solving Equations What??? Why??? How??? By: Lori Edwards
What Will I Learn? • solve equations using equality properties. • Solve equations using both equality properties
Why Should I Learn Algebra? • To get a job. Not all jobs using algebra are boring!
Fun jobs • Computer programmer • Chef • Airplane maintenance • Nurse • Shopping specialist
Comparing Solving Equations to Real Life Situations! • Be FAIR!!! • My brother got more. Not fair or equal. • Scales –one side is heavier, both sides don’t weigh the same.
What Skills Do I Need To Know? • What does opposite mean: (+/-) (x/÷) • +, -, x, and ÷ Integers
The Addition Property of Equality • Get X by itself X = 7 ________________ = 2 Or X = 2 + 5 • Do the opposite • The opposite of + 5 is - 5 - 5 - 5 X + 0 X + 0 is…X
Another Example… -6 = y _______________ 2 = Or 2 = y • Get X by itself - 8 • Do the opposite • The opposite of -8 is +8 +8 +8 y + 0 Y + 0 is ….y
The Multiplication Property of Equality • Get x by itself - 12 x = 72 ______ -12 _____ -12 The opposite of multiplying is dividing X = - 6 • -12 ÷ -12 = 1 (you are left with only 1x) • 72 ÷ -12 = - 6
Try Again… Y = 11 • Get x by itself • (y is being divided by -8)…so multiply - 8 y = 11 -8 (-8) (-8) Multiply both sides of the equation by -8 You get….. Because… the -8’s cancel out and leave 1y or just y 11 times -8 is -88 Y = -88 and
Using Both Properties! • Get x by itself • Get rid of the +6 by subtracting • Get rid of the -5 by dividing - 5 X + 6 = -16 - 6 - 6 ____________________________ - 5 x = - 22 - 5 - 5 You are left with… x = +22 5