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Solving Equations

Mathematics, Grade 9

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check check Division Equations Subtraction Equations Addition Equations check • An equation is a mathematical statement which shows that two quantities or values are equal. • Algebraic equations include at least one variable. • To solve an algebraic equation, you seek for the value of the variable that makes the equation a true statement. • The value of the variable is called the solution. • Since the equation shows subtraction, use the inverse operation, addition. • To get m by itself, add the same number (14) from both sides. • Solve the equation. • Substitute 43 for m in the equation. m = 43 • Think of an equation as a balance scale – both sides should be perfectly balanced. • When solving an equation, use inverse operations and keep the equation balanced by performing the exact thing to both sides of the equation. m + 16 = 28 • Since the equation shows addition, use the inverse operation, subtraction. • To get m by itself, subtract the same number (16) from both sides. • Solve the equation. • Substitute 12 for m in the equation. m + 16 = 28 28 = 28 m + 16 = 28 m + 16 = 28 12 + 16 = 28 -16 -16 m = 12 solve solve check solve solve • Since the equation shows multiplication, use the inverse operation, division. • Divide both sides by the same number (15). • Substitute 7 for m in the equation. 15m = 105 15m = 105 15(7) = 105 15m = 105 15 15 105 = 105 • Since the equation shows division, use the inverse operation, multiplication. • Multiply both sides by the same number (5). 5 m = 30 5 x x 5 5 m = 30 5 m = 30 5 150 = 30 m – 14 = 29 29 = 29 m – 14 = 29 m – 14 = 29 43 – 14 = 29 + 14 + 14 30 = 30 • Substitute 150 for m in the equation. ? ? ? ? m = 7 m = 150 Multiplication Equations © Copyright NewPath Learning. All Rights Reserved. 93-4608 www.newpathlearning.com Solving Equations 28 = m + 16 equal sign expression expression

\|xiBAHBDy01685kzU check check Division Equations Subtraction Equations Addition Equations check • An is a mathematical statement which shows that two quantities or values are . • Algebraic equations include at least one . • To solve an algebraic equation, you seek for the value of the that makes the equation a . • The value of the variable is called the . • Since the equation shows subtraction, use the inverse operation, addition. • To get m by itself, add the same number from both sides. • Solve the equation. • Substitute for m in the equation. m = 43 • Think of an equation as a balance scale – both sides should be perfectly . • When solving an equation, use and keep the by performing the exact thing to both sides of the equation. m + 16 = 28 • Since the equation shows addition, use the inverse operation, subtraction. • To get m by itself, subtract the same number from both sides. • Solve the equation. • Substitute for m in the equation. m + 16 = 28 28 = 28 m + 16 = 28 m + 16 = 28 12 + 16 = 28 -16 -16 m = 12 solve solve check solve solve • Since the equation shows multiplication, use the inverse operation, division. • Divide both sides by the same number . • Substitute for m in the equation. 15m = 105 15m = 105 15( ) = 105 15m = 105 15 15 105 = 105 • Since the equation shows division, use the inverse operation, multiplication. • Multiply both sides by the same number . 5 m = 30 5 x x 5 5 m = 30 5 m = 30 5 150 = 30 m – 14 = 29 29 = 29 m – 14 = 29 m – 14 = 29 43 – 14 = 29 + 14 + 14 30 = 30 • Substitute for m in the equation. ? ? ? ? m = 7 m = 150 Multiplication Equations © Copyright NewPath Learning. All Rights Reserved. 93-4608 www.newpathlearning.com Solving Equations 28 = m + 16 equal sign expression expression Key Vocabulary Terms • algebraic equation • solution • expression • value • inverse operation • variable

Solving Equations

Mathematics, Grade 9

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