Solving Equations

1
/
2
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