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Aim: How do we understand the concept of inverse operations with fractions? Do Now: 1. 2. x 3 x 3 =5 +4=6 To solve an equation • In an equation which has more than one operation, we have to undo the operations in the correct order. • First, undo addition or subtraction, then undo multiplication or division. • *****IF there are parentheses (distributive property) then multiply to get rid of parentheses.***** 3(x+5) = 21 x =5 3 x 3 +4=6 4x 3 + 5 = 13 4x 3 Let’s try to solve + 5 = 13 another way! Practice 1. 2. 3. 4. 5. 2 x=8 3 1 x + 6 = 10 2 4 t + 7 = 47 5 1 w + 6 = −2 3 1 x + 11 = 5 4 Solving equations with many fractions 𝑥 2 + 𝑥 6 First way: 1)Find the LCD (LCM) 2)Make the denominators common. -Multiply the top and bottom of the first fraction by 3. 3) Solve for x multiplying by the reciprocal. =2 𝑥 2 1) Find the common denominator (LCM) 2) Multiply EVERY TERM in the equation by the common denominator. 3) Reduce each term to form a "denominator free" equation. + 𝑥 6 =2 Difficult! *The first step in these problems is to multiply and get rid of the parentheses * Undo addition or subtraction, then undo multiplication or division Practice 1) 2) 3) 4) << Difficult!