4.3b & 4 rr

17
Agenda Thursday, Nov. 12 homework 4 p. 193 # 21 - 24, 34 - 40 and p. 198 # 13 - 23 Quiz tomorrow on Ch. 4.1 - 4.4 (see checkpoint quiz p. 199 for sample problems) 4.3 - prime factorization with variable expressions 4.4- simplifying fractions

Upload: kathy-favazza

Post on 28-May-2015

352 views

Category:

Education


2 download

DESCRIPTION

Prime factorization of variable expressions & simplifying fractions

TRANSCRIPT

Page 1: 4.3b & 4 Rr

Agenda Thursday, Nov. 12

homework 4 p. 193 # 21 - 24, 34 - 40 and p. 198 # 13 - 23

Quiz tomorrow on Ch. 4.1 - 4.4 (see checkpoint quiz p. 199 for sample problems)

4.3 - prime factorization with variable expressions4.4- simplifying fractions

Page 2: 4.3b & 4 Rr
Page 3: 4.3b & 4 Rr
Page 4: 4.3b & 4 Rr

Find the GCF of a variable expression.

Find the prime factorization of the coefficient.Write the variables in expanded form. Find common factors.

Example8xy2 and 6x3y

2*2*2*x*y*y 2*3*x*x*x*y

GCF = 2xy

Page 5: 4.3b & 4 Rr
Page 6: 4.3b & 4 Rr

Prime Factors of 4a3b

Prime Factors of 6a2b2

4a3b = 2*2*a*a*a*b

6a2b2 = 2*3*a*a*b*b

Find the prime factorization of each variable expression. Use the diagram below to show the prime factors. Then use it to find the GCF.

Page 7: 4.3b & 4 Rr

Directions: Use Venn diagrams to find the GCF of each set of numbers.

1) 4xy2, 2x2y GCF = 2xy

2) 6a2b2, 4ab3 GCF = 2ab2

3) 10m3n, 15m2n2 GCF = 5m2n

Page 8: 4.3b & 4 Rr
Page 9: 4.3b & 4 Rr
Page 10: 4.3b & 4 Rr

Find two fractions that are equivalent to

5858

Page 11: 4.3b & 4 Rr

Write in simplest form:

68

Page 12: 4.3b & 4 Rr

To write algebraic fractions in simplest form, first write the prime factorization of the expression.

Then divide the numerator and denominator by the common factors.

9 x 3*3*x3xy 3*x*y

4ab2 2*2*a*b*b16ac 2*2*2*2*a*c

Page 13: 4.3b & 4 Rr
Page 14: 4.3b & 4 Rr
Page 15: 4.3b & 4 Rr
Page 16: 4.3b & 4 Rr

Now you try:

Complete Quick Check 3 on p. 197

Page 17: 4.3b & 4 Rr

Attachments