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# 3.1 solve one step equations - day 2

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### 3.1 solve one step equations - day 2

1. 1. Solving Equations Using Multiplication & Division Transformations<br />Section 3.1 Page 135<br />
2. 2. All of the equations we have solved so far have been in the form of:<br /> 3 + x = -5<br />Now we will look at equations in the form of: 3x = -9 2/3 x = 18<br /> -2/5 x = -6/7<br />Notice how they are “connected” to the variable. (by what operation?)<br />
3. 3. Properties of Equality<br />Multiplication Property of Equality If a = b, then ca = cb<br />Division Property of EqualityIf a = b, then a = b c c c = 0<br />
4. 4. Just like addition and subtraction transformations, what ever you do to one side of the equation, you MUST do to the other.<br />If you multiply one side by two, you must multiply the other side by two.<br />
5. 5. Solve:<br /> -3x = 15<br />Solving Equations Using Multiplication & Division Transformations<br />
6. 6. Solve:<br /> -3x = 15<br />-3x = 15 divide by -3<br /> -3 -3<br /> x = -5 simplify<br />Solving Equations Using Multiplication & Division Transformations<br />
7. 7. Solve:<br /> -3x = 15<br />-3x = 15 You could also Mult by – 1/3<br />(-1/3) (-3x) = 15 (-1/3)<br /> 1x = -5<br /> x = -5<br />Is dividing by -3 the same thing as multiplying by -1/3?<br /> YES!!<br />
8. 8. -3x = - 8<br />-3x = - 8<br /> -3 -3 divide by -3<br /> x = + 8/3 or 2 2/3<br />Solving Equations Using Multiplication & Division Transformations<br />
9. 9. Solve each equation<br />Is x/4 the same as 1/4x?<br />
10. 10. Solve each equation<br />
11. 11. Assignment : P. 138 (#17-25, 40-47, 49)<br />You must show ALL the steps to solve on your paper. Having only the answer will NOT be counted correct.<br />Check mentally to make sure your answer is correct.<br />