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January 11, 2016 Solving Two Step Equations January 11, 2016 Vocabulary Expression: a mathematical phrase made up of variables and/or numbers and operations Simplify: to express in simplest terms Evaluate: to determine worth or value (plug it in, plug it in -- Glade) Solve: looking for a missing value in a problem when the final answer is known Equation: a mathematical statement that two expressions are equal (must have =) January 11, 2016 Decide whether each is an expression or equation. Drag the choices to each question. 1. 3x + 5 Expression 5. x - 5 - 8x = 2 Equation 2. 2x + 8 = 10 Equation 6. 3x + 7 + 5x Expression 3. 4x - 7 Expression 7. 5(2x - 8) = 60 4. 5x + 5 = 7x + 9 8. 4( x-3) Equation Expression Equation Equation Expression January 11, 2016 When solving an equation, remember: • Isolate the variable • Use inverse operations • What you do to one side, make sure that you do to the other (You must keep the scale balanced!!!) January 11, 2016 Undo the addition and subtraction first. Then undo the multiplication and division. Pull The Sock and Shoe Method January 11, 2016 January 11, 2016 Example 1 Solve. Don't forget to show all of your work. 2w + 3 = 9 -3 -3 2w = 6 2 2 w=3 Subtraction Property of Equality Division Property of Equality January 11, 2016 Example 2 Solve. Don't forget to show all of your work. 3p - 10 = 8 +10 +10 Addition Property of Equality 3p = 18 3 3 w=6 Division Property of Equality January 11, 2016 Example 3 Solve. Don't forget to show all of your work. d/4 - 9 = 3 +9 +9 Addition Property of Equality d/4 = 12 x4 x4 w = 48 Multiplication Property of Equality January 11, 2016 January 11, 2016 Example 4 Solve. Don't forget to show all of your work. 3/4c - 7 = -1 +7 +7 Addition Property of Equality 3/4c = 6 x4 x4 Multiplication Property of Equality 3c = 24 3 3 c=8 Division Property of Equality January 11, 2016 Solve the following equations. Be sure to show all work. 1. 2x + 7 = 21 2. 6x - 12 = 12 3. x/4 + 2 = 10 4. x/3 - 5 = 8 January 11, 2016 Solve the following equations. Be sure to show all work. Answers 1. 2x + 7 = 21 -7 -7 2x = 14 2 2 x=7 2. 6x - 12 = 12 +12 +12 6x = 24 6 6 x=4 3. x/4 + 2 = 10 -2 -2 x/4 =8 *4 *4 x = 32 4. x/3 - 5 = 8 +5 +5 x/3 = 13 *3 *3 x = 39 January 11, 2016 January 11, 2016 January 11, 2016 6 - 2b = 18 5 - 3h = 26 -3 - 5n = 17 January 11, 2016