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This guide explores the process of finding linear relationships in algebra by utilizing the identity property of multiplication. Learn how to expand numerators and denominators separately, identify and cancel factors, and rewrite new expressions efficiently. We emphasize the crucial step of maintaining the integrity of the denominator throughout operations. With practical examples and clear steps, you will gain a solid understanding of how to manipulate algebraic expressions while ensuring accuracy.
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Algebra I Finding ones & more linear relationships
What is.... 1 IDENTITY PROPERTY OF MULTIPLICATION
How about… 1.) EXPAND NUMERATOR & DENOMINATOR Find Ones!! 2.) “FIND ONES” & CANCEL 3.) WRITE NEW EXPRESSION
1.) EXPAND NUMERATOR & DENOMINATOR How about… 2) “FIND ONES” & CANCEL 1 3.) WRITE NEW EXPRESSION EXPAND ONLY WHAT YOU NEED TO!
1. 1.) EXPAND NUMERATOR & DENOMINATOR 2) “FIND ONES” & CANCEL 3.) WRITE NEW EXPRESSION
2. ? 1.) EXPAND NUMERATOR & DENOMINATOR 2) “FIND ONES” & CANCEL 3.) WRITE NEW EXPRESSION
2. Whatever is in the denominator… STAYS IN THE DENOMINATOR!!
TRY IT OUT… 3.
How to “FIND ONES”? 1.) EXPAND NUMERATOR & DENOMINATOR SEPARATELY 2) “FIND ONES” & CANCEL 3.) MULTIPLY REMAINING FACTORS Whatever is in the denominator, stays in the denominator!!! 4.) WRITE NEW EXPESSION