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3.2 Multiplication Property of Equality (MPE)

3.2 Multiplication Property of Equality (MPE). Definition. Coefficient : Is a numeric factor that is being multiplied by the variable. Examples of Coefficients : -3x -3 ½ y ½. The Multiplication Property of Equality Rule:.

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3.2 Multiplication Property of Equality (MPE)

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  1. 3.2 Multiplication Property of Equality (MPE)

  2. Definition Coefficient: Is a numeric factor that is being multiplied by the variable. Examples of Coefficients: -3x -3 ½ y ½

  3. The Multiplication Property of EqualityRule: For all rational numbers a, b , and c Ifa = b, thenac = bc Another version of the rule: If a=b, then Which is the same as: If a=b, then

  4. To solve an equation like 8x = 96 • Goal: need to isolate the variable on one side of the equal sign. • How: do the opposite operation of what is being done to the variable. • Why: by doing the opposite operation it will make the coefficient of x “1”. • Rule: whatever you do to one side of the equation you must do to the other.

  5. Example 1: Solve: -7x = 49

  6. Example 2:Solve: -12x = -8 Always remember to reduce the fractions!!

  7. Example 3: Solve: Multiply both sides of the equation by the reciprocal of the coefficient

  8. Ex 4: If a negative sign is on the outside of a fraction put it in the numerator.

  9. Ex 5:

  10. If a variable does not have a coefficient put 1 in front of it. Ex 6:

  11. Ex 7:

  12. Ex 8:

  13. Example 9: Penny bought a 12-bottle case of juice on sale for $6.72. What was the price of each bottle? Let j= the cost of one juice bottle

  14. HomeworkPage 122(2-36 even and 40, 41,)Remember to show all work

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