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# 3.1 solve one step equations - day 2

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### Transcript

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