1. Lesson 4.1, For use with pages 175-180 2. 75 ÷ 5 1. 52 ÷ 13 Please do not use a calculator to solve these.

2. Lesson 4.1, For use with pages 175-180 2. 75 ÷ 5 1. 52 ÷ 13 Please do not use a calculator to solve these. ANSWER 4 ANSWER 15

4. Simplifying Fractions Section 4.3 P. 187 - 191

12. Simplify this fraction 12 18 2 3 ÷ 6 6 =

13. Simplify this fraction 9 21 3 7 ÷ 3 3 =

14. Simplify this fraction -12 20 -3 5 ÷ 4 4 =

15. Simplify this fraction 12 16 3 4 ÷ 4 4 =

16. Simplify this fraction -10 16 -5 8 ÷ 2 2 =

18. EXAMPLE 4 Factoring a Monomial Factor the monomial 12 x 2 y . Factor 12 . 12 x 2 y = Write x 2 as x x . = 2 2 3 x x y 2 2 3 x 2 y

19. GUIDED PRACTICE for Example 4 10. 3 mn Factor the monomial. 3 mn = 11. 18 t 2 Factor 18 . 18 t 2 = 3 m n 2 3 3 t 2 = 2 3 3 t t Write t 2 as t t .

20. GUIDED PRACTICE for Example 4 13. 54 w 3 z 4 Factor the monomial. 54 w 3 z 4 = Factor 54 . 2 3 3 3 w 3 z 4 = 2 3 3 3 w w w z z z z Write z 4 as z z z z Write w 3 as w w w = 2 3 3 3 w w w z 4

22. EXAMPLE 4 use the GCF skills to simplify algebraic fractions 14 x 7 xy Factor numerator and denominator. Divide out common factor. Simplify. = 2 · 7 · x 7 · x · y = 2 y 2 · 7 · x 7 · x · y = 1 1 1 1

23. EXAMPLE 5 use the GCF skills to simplify algebraic fractions Evaluate powers and simplify. Factor numerator and denominator. Simplify. Divide out common factor. Substitute 5 for x . Simplify and then evaluate the expression when x = 5 . – 4 x 3 2 x – 4 x 3 2 x = – 2 x 2 = – 2( 5 ) 2 = – 50 – 1 · 2 · 2 · x · x · x 2 · x = 1 1 1 1 = – 1 · 2 · 2 · x · x · x 2 · x

24. GUIDED PRACTICE use the GCF skills to simplify algebraic fractions Simplify the variable expression. Then evaluate for x = – 2 and y = 3. Simplify. Simplify. Divide out common factor. Substitute 3 for y . Factor numerator and denominator. 12. 4 xy 6 x = 2 = 2 · 2 · x · y 2 · 3 · x = 2 y 3 = 2(3) 3 = – 1 · 2 · 2 · x · y 2 · 3 · x 1 1 1

25. GUIDED PRACTICE use the GCF skills to simplify algebraic fractions Simplify the variable expression. Then evaluate for x = – 2 and y = 3. Simplify. Divide out common factor. Substitute 3 for y . Factor numerator and denominator. 13. 32 x 8 xy = 4 y = 2 · 2 · 2 · 2 · 2 · x 2 · 2 · 2 · x · y 1 1 1 1 1 1 1 1 = 4 3 = 2 · 2 · 2 · 2 · 2 · x 2 · 2 · 2 · x · y

26. GUIDED PRACTICE use the GCF skills to simplify algebraic fractions Simplify the variable expression. Then evaluate for x = – 2 and y = 3. Simplify. Divide out common factor. Substitute –2 for x . Factor numerator and denominator. Simplify. 15. 5 x 2 y 10xy = x 2 = – 2 2 = 5 · x · x · y 2 · 5 · x · y = – 1 = 5 · x · x · y 2 · 5 · x · y 1 1 1 1 1 1