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Noteables Interactive Study Notebook - McGraw-Hill Higher Education

Noteables Interactive Study Notebook - McGraw-Hill Higher Education

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®3–2 Solving Addition and Subtraction EquationsEXAMPLES Solve an Addition EquationMAIN IDEA Solve 14 + y = 20. Check your solution.• Solve addition and14 + y = 20 Write the equation.subtraction equations.14 from̲̲̲̲̲̲̲̲̲̲̲̲̲̲̲̲̲each side. Simplify.=Lessons cover the contentof the lessons in your textbook.As your teacher discusses eachexample, follow along andcomplete the fill-in boxes. Takenotes as appropriate.Copyright © Glencoe/<strong>McGraw</strong>-<strong>Hill</strong>, a division of The <strong>McGraw</strong>-<strong>Hill</strong> Companies, Inc.KEY CONCEPTSSubtraction Property ofEquality If you subtractthe same number fromeach side of an equation,the two sides remainequal.Addition Property ofEquality If you add thesame number to eachside of an equation, thetwo sides remain equal.Write theseproperties in yourown words under theEquations tab.Check14 + y = 20 Write the original equation.14 + 20 Replace y with .The solution is .= 20 ̌ Simplify.Solve a + 7 = 6. Check your solution.a + 7 = 6 Write the equation.̲̲̲̲̲̲̲̲̲̲̲̲̲̲̲Checka + 7 = 6Foldables featurereminds you to takenotes in your Foldable.Subtract= Simplify.from each side.Write the original equation.+ 7 6 Replace a with .= 6 ̌ Simplify. The solution is.Check Your Progress Solve each equation.a. -6 = x + 4 b. m + 9 = 22Math Connects, Course 2 593–5EXAMPLEExamples parallel theexamples in the textbook.PARKS There are 76 thousand acres of state parkland inGeorgia. This is 4 thousand acres more than three timesthe number of acres of state parkland in Mississippi.How many acres of state parkland are there inMississippi?Words Three times the number of acres of stateparkland in Mississippi plus 4,000 is 76,000.VariableEquationLet m = the acres of state parkland inMississippi.Three times thenumber of acresof parklandin Mississippi plus 4,000 is 76,000.4,000 = 76,000+ 4,000 = 76,000 Write the equation.̲̲̲̲̲̲̲̲̲̲̲̲̲̲̲̲̲ Subtracteach side.= Simplify.fromCopyright © Glencoe/<strong>McGraw</strong>-<strong>Hill</strong>, a division of The <strong>McGraw</strong>-<strong>Hill</strong> Companies, Inc.C H A P T E R3Use your Chapter 3 Foldableto help you study for yourchapter test.BRINGING IT ALL TOGETHERSTUDY GUIDE®VOCABULARYPUZZLEMAKER3-1Writing Expressions and EquationsTo make a crossword puzzle,word search, or jumble puzzleof the vocabulary words inChapter 3, go to:glencoe.comMatch the phrases with the algebraic expressions thatrepresent them.1. seven plus a number a. 7 - nb. 7 · n2. seven less a numberc. n - 73. seven divided by a numberd. n_ 7e. 7 + n4. seven less than a numberWrite each sentence as an algebraic equation.5. The product of 4 and 6. Twenty divided bya number is 12. y is equal to -10.3-2Solving Addition and Subtraction Equations7. Explain in words how to solve a - 10 = 3.Solve each equation. Check your solution.8. w + 23 = -11 9. 35 = z - 15BUILD YOURVOCABULARYYou can use your completedVocabulary Builder(pages 55–56) to help yousolve the puzzle.HOMEWORKASSIGNMENTPage(s):Exercises:66 Math Connects, Course 2Copyright © Glencoe/<strong>McGraw</strong>-<strong>Hill</strong>, a division of The <strong>McGraw</strong>-<strong>Hill</strong> Companies, Inc.There are= Divide each side by .= Simplify.acres of state parkland in Mississippi.Check Your Progress BASEBALL Matthew had 64 hitsduring last year’s baseball season. This was 8 less than twicethe number of hits Gregory had. How many hits did Gregoryhave during last year’s baseball season?Check Your ProgressExercises allow you tosolve similar exerciseson your own.Bringing It All Together<strong>Study</strong> Guide reviewsthe main ideas and keyconcepts from each lesson.Copyright © Glencoe/<strong>McGraw</strong>-<strong>Hill</strong>, a division of The <strong>McGraw</strong>-<strong>Hill</strong> Companies, Inc.72 Math Connects, Course 2Math Connects, Course 2 vii

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