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1.6 Introduction to Solving Equations Objectives • Write and solve a linear equation in one variable. • Solve a literal equation for a specified variable. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 1.6 Introduction to Solving Equations Glossary Terms equation like terms literal equation solution Substitution Property terms variable Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 1.6 Introduction to Solving Equations Rules and Properties Reflexive Symmetric Transitive Addition Subtraction Multiplication Division a=a If a = b, then b = a. If a = b and b = c, then a = c. If a = b, then a + c = b + c. If a = b, then a – c = b – c. If a = b, then ac = bc. a c If a = b, then = , b d where c 0. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 1.6 Introduction to Solving Equations Key Skills Write and solve a linear equation in one variable. Arlene rented a car for one day. The rate was $30 per day plus $0.20 per mile. She paid a total of $84. How many miles did she drive? x = number of miles that Arlene drove 0.2x + 30 = 84 0.2x = 54 x = 270 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 1.6 Introduction to Solving Equations Key Skills Solve each literal equation for the indicated variable. A Solve P = for n. 1+ ni P(1 + ni) = A Multiply by (1+ ni). P + Pni = A Pni = A – P A–P n= Pi distributive property Subtract P. Divide by Pi. TOC Copyright © by Holt, Rinehart and Winston. All Rights Reserved.