1. Do Now 12/12/11 Copy HW in your planner. Copy HW in your planner. Text page 132, #8-38 evens Text page 132, #8-38 evens Quiz sections 3.5-3.8 Wednesday Quiz sections 3.5-3.8 Wednesday Chapter 3 Test Friday Chapter 3 Test Friday Be ready to copy POTW #3 and make sure your NAME is on the top of the page. Be ready to copy POTW #3 and make sure your NAME is on the top of the page.

2. Objective SWBAT solve equations using fractions SWBAT solve equations using fractions

3. Fraction Review

4. Adding Fractions with Common Denominators To ADD/SUBTRACT fractions with common denominators, add/subtract their numerators. Simplify if necessary. Simplify if necessary. Remember this…

5. Fractions with Different Denominators To ADD or SUBTRACT fractions with different denominators follow these steps: 1. Rewrite the fractions using a common denominator. 2. Add or subtract the numerators. 2. Add or subtract the numerators. 5: 5, 10, 15, 20, 25, 30, 35, 40 7: 7, 14, 21, 28, 35, 42 What is the common denominator? Equivalent fractions Remember this…

6. Multiply Rewrite as improper fractions and assign negative to numerator. Divide (cancel) common factors Multiply 1 4 Simplify Mixed Number times Mixed Number Remember this…

7. RECIPROCAL – two nonzero numbers whose product is 1. RECIPROCAL = MULTIPLICATIVE INVERSE INVERSE Remember this…

8. Divide Divide (cancel) common factors Multiply 5 -11 Assign negative sign to the numerator Remember this…

9. Equation- mathematical sentence with an equal sign mathematical sentence with an equal sign Like a scale, both sides must be balanced

10. Section 3-8 “Solving Equations Containing Fractions” Like a scale, the left side and right side must be the same in order to be balanced! Like a scale, the left side and right side must be the same in order to be balanced! + 2 = 5 7 7 7 7 Left side Right side x ‘x’ has to be 3/7 in order to make the equation balanced.

11. Solving Addition Equations… m + 7 = 14 7 77 77 77 7 18 18 m = m = 18 27 18 18 – – 21 21 54 54 = – 28 28 54 54 7 = Find common denominator

12. Solving Subtraction Equations… m – 3 = -11 3 33 33 33 3 8 m = m = 8 24 8 24 8 + + 9 24 24 = + -11 -11 24 24 -2 -2 24 24 = Find common denominator m = m = -1 -1 12 12 Remember your integer rules… -11 + 9 = -2

13. Solving Multiplication Equations… 2 = 4 2 = 43 2 m = m = 3 5 3 5 ∙ 3 2 6 5 m = m = 1 5 Multiply by the reciprocal or multiplicative inverse. m ∙ 1 2 1

14. Solving Multiplication Equations… 3y = 6 3y = 61 3 y = y = 7 ∙ 1 3 2 7 Multiply by the reciprocal or multiplicative inverse. ∙ 1 2 1

15. Practice x – 3838 = 7878 3838 + 3838 = 7878 + 3838 x = 10 8 =1 1414 4949 + r = 2 4949 + r – 4949 = 2 – 4949 r = -9 18 – 8 18 r = – 17 18

16. Practice 3838 x =. 8383 1414.8383 2 1 =x 2323 3838 = 1414 x = 8989 x =. 1414 8989. 1414 1 2 x = 2929 4x = 4

17. Homework Homework Text page 132, #8-38 evens Text page 132, #8-38 evens NJASK7 Prep NJASK7 Prep