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Multistep Equations

Mathematics, Grade 6

 
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Solving Multistep Equations with Fractions Solving Multistep Equations with Like Terms 8y + 2 3y = 17 Solve: = 10 Solve: 5x 5 7 = 10 = 70 5x 5 7 5x 5 Follow the order of operations in reverse when solving equations with more than one operation (multistep equations). Goals of solving multistep equations: Place the variables on one side of the equal sign and the numbers on the other side. Have the number in front of the variable equal to one. Place the variables on the same side. The number in front of the variable must be equal to one. Two inverse operations are needed to solve the equation above subtraction & division. Solving Two-Step Equations Using Division Solving Equations with Variables on Both Sides Solving Two-Step Equations Using Multiplication 3 x + 8 = 23 3 x + 8 = 15 x = 5 8 8 4 groups of -3 = -12 5n + 3 = 28 x 5 = 20 5n = 25 = 5n 5 3 3 2 2 3x 3x 4 4 7 7 + 5 + 5 + 5 + 5 0 9 x Subtract 3 from both sides of the equation. Multiply both sides by 4. Multiply both sides by 7. Divide both sides of the equation by 5. Divide both sides by 5. 25 5 1 4 = 25 x 1 4 = n 5n + 3 = 28 5 5x 5 75 5 = = = x 15 y = x 3 6 = x 100 Solve: x 5 = 20 Solve: 1 4 Add 5 to both sides. 8y + 2 3y = 17 5y + 2 = 17 Multiply both sides by 7. Combine like terms (8y 3y). Combine like terms (8y 3y). Subtract 2 from both sides. Subtract 2 from both sides. 5y + 2 = 15 Divide both sides by 5. 5y 5 15 5 = 5x 7 = 3x + 5 5x 7 = 3x + 5 2x 7 = 5 Solve: + 7 + 7 2x 7 = 12 Add 7 to both sides. 2x 2 12 2 = Subtract 3x from both sides. Divide both sides by 2. © Copyright NewPath Learning. All Rights Reserved. 93-4701 www.newpathlearning.com Multistep Equations
\|xiBAHBDy01675lz[ Solving Multistep Equations with Fractions Solving Multistep Equations with Like Terms 8y + 2 3y = 17 Solve: = 10 Solve: 5x 5 7 = 10 = 70 5x 5 7 5x 5 7 5x Follow the order of operations in reverse when solving equations with more than one operation (multistep equations). Goals of solving multistep equations: _________________________________________ _________________________________________ _________________________________________ _________________________________________ Place the variables on the same side. The number in front of the variable must be equal to . Solving Two-Step Equations Using Division Solving Equations with Variables on Both Sides Solving Two-Step Equations Using Multiplication 3 x + 8 = 23 3 x + 8 = 15 x = 5 8 8 5n + 3 = 28 x 5 = 20 = = 2 2 4 4 7 7 + 5 + 5 Subtract 3 from both sides of the equation. Multiply both sides by 4. Multiply both sides by 7. Divide both sides of the equation by 5. Divide both sides by 5. 1 4 = 25 x 1 4 = n = = x = y x = x 100 5n + 3 = 28 Solve: x 5 = 20 Solve: 1 4 Add 5 to both sides. 8y + 2 3y = 17 5y + 2 = 17 Combine like terms (8y 3y). Subtract from both sides. 5y + 2 = 15 Divide both sides by 5. 5y = 5x 7 = 3x + 5 2x 7 = 5 5x 7 = 3x + 5 Solve: 2x = Add 7 to both sides. 2x = Subtract 3x from both sides. Divide both sides by 2. Key Vocabulary Terms equation inverse operation multistep equation operation order of operations variable Two inverse operations are needed to solve the equation above subtra ction & . . = © Copyright NewPath Learning. All Rights Reserved. 93-4701 www.newpathlearning.com Multistep Equations
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