Noteables Interactive Study Notebook (26491.0K) - McGraw-Hill ...

Noteables Interactive Study Notebook (26491.0K) - McGraw-Hill ... Noteables Interactive Study Notebook (26491.0K) - McGraw-Hill ...

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12–4Solving Subtraction EquationsEXAMPLE Solve an Equation by AddingMAIN IDEA• Solve subtractionequations.Solve x - 5 = 10.METHOD 1 Use models. Model the equation.x - 5 = 10Add 5 positive counters toeach side of the mat.Remove the zero pairs.KEY CONCEPTx - 5 + = 10 +Addition Property ofEquality If you add thesame number to eachside of an equation, thetwo sides remain equal.x =METHOD 2 Use symbols.x - 5 = 10x - 5 = 10Write the equation.Add 5 to each side to undo thesubtraction of 5 on the left.+ = + Add to each side._______x =The solution is .Simplify.Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.Check Your Progress Solve w - 3 = 9.300 Math Connects, Course 1

12–4BUILD YOUR VOCABULARY (page 292)The Addition Property of Equality can be used to solve anequation bythe same number to eachside of the equation.EXAMPLE Solve a Subtraction EquationSolve x - 5 = -1. Check your solution.x - 5 = -1 Write the equation.+ = + Add to each side._______x =Simplify.The solution is . Check 4 - 5 = -1 ✔Check Your ProgressSolve d - 8 = -5. Check your solution.EXAMPLECopyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.HOMEWORKASSIGNMENTPage(s):Exercises:WEATHER The difference between the record highand low temperatures in Oregon is 173°F. The recordlow temperature is -54°F. What is the record hightemperature in degrees Fahrenheit?You need to find the record high temperature. Write and solvean equation. Let x represent the high temperature.x - (-54) = 173Write the equation.x + = 173 Defi nition of subtraction- = - Subtract from each side.________x = Simplify.The record high temperature is .Check Your Progress AGES The difference between theage of Julie’s mother and Julie’s age is 27 years. Julie’s age is 6.What is the age of Julie’s mother?Math Connects, Course 1 301

12–4BUILD YOUR VOCABULARY (page 292)The Addition Property of Equality can be used to solve anequation bythe same number to eachside of the equation.EXAMPLE Solve a Subtraction EquationSolve x - 5 = -1. Check your solution.x - 5 = -1 Write the equation.+ = + Add to each side._______x =Simplify.The solution is . Check 4 - 5 = -1 ✔Check Your ProgressSolve d - 8 = -5. Check your solution.EXAMPLECopyright © Glencoe/<strong>McGraw</strong>-<strong>Hill</strong>, a division of The <strong>McGraw</strong>-<strong>Hill</strong> Companies, Inc.HOMEWORKASSIGNMENTPage(s):Exercises:WEATHER The difference between the record highand low temperatures in Oregon is 173°F. The recordlow temperature is -54°F. What is the record hightemperature in degrees Fahrenheit?You need to find the record high temperature. Write and solvean equation. Let x represent the high temperature.x - (-54) = 173Write the equation.x + = 173 Defi nition of subtraction- = - Subtract from each side.________x = Simplify.The record high temperature is .Check Your Progress AGES The difference between theage of Julie’s mother and Julie’s age is 27 years. Julie’s age is 6.What is the age of Julie’s mother?Math Connects, Course 1 301

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