OBJECTIVE: Students will be able to solve equations with one variable. An equation is a statement that shows two expressions are equal (using and equal sign). When we solve the equation, we are being asked to solve for the variable. Her are some things to remember… If necessary, combine the like terms. Every operation you perform on one side of an equation must be performed on both sides of the equal sign. When solving equations, remember that addition and subtraction are inverse operations – they undo each other. To solve equations using addition and subtraction, first decide which operation has been applied, then use the inverse operation to undo this. Remember to add or subtract from both sides of the equation. b5 3 a 7 10 c 4 2c 5 When solving equations, remember that multiplication and division are inverse operations – they undo each other. To solve equations using multiplication and division, first decide which operation has been applied, then use the inverse operation to undo this. Remember to multiply or divide from both sides of the equation. y 62 10 6x 48 1 2 z z 10 5 5 To solve complex equations, the one thing to remember is that you need to get the variable isolated before you can solve the equation. When dealing with many different operation, work backwards from PEMDAS…or….SADMEP! As long as you always do the same thing to BOTH sides of the equation, and do the correct order, you will get to the solution. 1 x 10 42 2 2t 7 25 5(3x 1) 20x 5

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# An equation is a statement that shows two expressions are equal