Algebra: Solving Equations 6-5 (pages 258-261) P4  Create visual representations of equation-solving processes that model the use of inverse operations.

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Presentation transcript:

Algebra: Solving Equations 6-5 (pages ) P4  Create visual representations of equation-solving processes that model the use of inverse operations.

Addition and multiplication of fractions have the same properties as addition and multiplication of whole numbers. Two numbers whose product is 1 are multiplicative inverses, or reciprocals. Multiplicative Inverse Property For all fractions, where a, b ≠ 0, Multiplicative Property of Equality If a = b, then ac = bc

Example 1 (reciprocal) Find the multiplicative inverse of The multiplicative inverse of is ??. Multiply by to get the product 1 Multiply by to get the product 1

Example 1b If there is a mixed number, rename as an improper fraction, then… Rename the mixed number, as an improper fraction. Find the multiplicative inverse of Multiply by to get the product 1.

Example 2 Solve Write the problem. You can undo dividing by 7 by multiplying each side of the equation by 7. Simplify. The solution is q = 42.

Example 3 Solve Write the problem. Multiply each side of the equation by the reciprocal of,. Multiply. The solution is x = -8. Simplify.

You try… Find the multiplicative inverse of each number. Find the multiplicative inverse of each number. A. B. A. B. Solve. Check your solution. Solve. Check your solution.

Homework Periods 1,7,8 Periods 1,7,8 Page #1, 3-14, Page #1, 3-14, Period 5 Period 5 Page #30-36, Page #30-36, 38-51