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Solving Equations With Variables on Both Sides

Solving Equations With Variables on Both Sides

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Solving Equations With Variables on Both Sides

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  1. Solving Equations With Variables on Both Sides The goal in solving an equation is to have only ____________on one side of the ______sign and __________on the _______side of the equal sign. The other goal is to have the ________ in front of the variable, called the _____________, equal to ______. To solve multi-step equations we must first simplify each ______________to the left and right of the ________ sign. This might require us to use the _______________property and combine _________ terms. Once we have simplified these ________________, the equation can be solved using the procedures for one and two-step equations, making sure that the variables are on one side and the constants are on the other side of the equal sign. Examples: ______________ _________ 2xfrom both sides __________3x from both sides ______ 2 to both sides _______ 20 to both sides _________both sides by 7 ___________both sides by 2 ___________ ____________ _____________. Identify and Combine _______ Terms _____________4x from both sides _______ 8 to both sides __________ both sides by 4 ____________ Your turn! an sbl original ‘08

  2. Solving Equations With Variables on Both Sides The goal in solving an equation is to have only variables on one side of the equalsign and constants on the other side of the equal sign. The other goal is to have the number in front of the variable, called the coefficient, equal to one. To solve multi-step equations we must first simplify each expression to the left and right of the equal sign. This might require us to use the distributive property and combine like terms. Once we have simplified these expressions, the equation can be solved using the procedures for one and two-step equations, making sure that the variables are on one side and the constants are on the other side of the equal sign. Examples: Distribute. Subtract 2xfrom both sides Subtract 3x from both sides Add 2 to both sides Add 20 to both sides Divideboth sides by 7 Divideboth sides by 2 Solution Solution Distribute. Identify and Combine Like Terms Subtract4x from both sides Add8 to both sides Divideboth sides by 4 Solution Your turn! an sbl original ‘08

  3. Solving Equations With Variables on Both Sides The goal in solving an equation is to have only variables on one side of the equalsign and numbers on the other side of the equal sign. The other goal is to have the number in front of the variable, called the coefficient, equal to one. To solve multi-step equations we must first simplify each expression to the left and right of the equal sign. This might require us to use the distributive property and combine like terms. Once we have simplified these expressions, the equation can be solved using the procedures for one and two-step equations, making sure that the variables are on one side and the constants are on the other side of the equal sign. Examples: Distribute. Subtract 2xfrom both sides Subtract 3x from both sides Add 2 to both sides Add 20 to both sides Divideboth sides by 7 Divideboth sides by 2 Solution Solution Distribute. Identify and Combine Like Terms Subtract4x from both sides Add8 to both sides Divideboth sides by 4 Solution Your turn! an sbl original ‘08

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