6-2
Warm-Up
1.
CST:
2.
The equation of line l is
Simplify
6x  5 y  3 ,
and the equation of line q is
5x  6 y  0 .
Which statement about the two
lines is true?
Current:
35
A. Lines l and q have the same
y-intercept
B. Lines l and q are parallel.
C. Lines l and q have the same
x- intercept.
D. Lines l and q are
perpendicular.
3.
Review:
Evaluate the given expression if
1
m  1, n  2, and x  .
4
3m 2  n3  8 x
4.
Other:
Write the given expression using
exponents.
2
xx y y y yzzz
3
Today’s Objective/Standards:
 Students add, subtract, multiply, and divide monomials and polynomials. Students solve
multi-step problems, including word problems, by using these techniques. (10.0)
Format: PDG Jan. 2005
6-3
Warm-Up
1.
CST:
2.
Which expression is equivalent to
8 2
6
3 
2
x x ?
A.
3.
Simplify.
3

34
6
3
B.
10
C. 3
16
D. 3
x 4 x3
5 3
B. x x
7 3
C. x x
9 3
D. x x
A.
2 x
CAHSEE:
Current:

y 5 z 5 xy 2 z 2

4.
Simplify.
Other:
62
2 2  32
Today’s Objective/Standards:
 Students add, subtract, multiply, and divide monomials and polynomials. Students solve
multi-step problems, including word problems, by using these techniques. (10.0)
Format: PDG Jan. 2005
Warm-Up
6-4
1.
CST:
A.  8
4
1

B. 16
1
C. 16
1
D.
8
1
B. 2 x 4
1
C. 5 x 4
x4
D. 5
3.
Current:
Simplify.
12a 5 b 7
36a 8 b
CAHSEE:
4
Which number equals (2) ?
5x 3

10 x 7
A. 2x
2.
4.
Other:
Complete the table.
10,000
10 4
103
10 2
101
100
101
102
103
104
Format: PDG Jan. 2005
6-5
Warm-Up
1.
CAHSEE:
2.
Current:
15
The radius of the earth’s orbit is
Is 9.1  10 a very small, or a
150,000,000,000 meters. What is very large number?
this number in scientific notation?
11
A. 1.5 10
11
1
.
5

10
B.
10
15
10
C.
9
D. 15010
3.
Review:
Convert
3.254 10 4
to decimal notation.
4.
Other:
Simplify.

6 x 2 y3

4
Today’s Objective/Standards:
 Students add, subtract, multiply, and divide monomials and polynomials. Students solve
multi-step problems, including word problems, by using these techniques. (10.0)
Format: PDG Jan. 2005
Warm-Up
6-6
1.
CAHSEE:
Simplify the expression below.
6a bc7ab c
4
3
13a 4 b 3 c
5 4 2
B. 13a b c
4 3
C. 42a b c
5 4 2
D. 42 a b c
A.
3.
Review:
Simplify.
16x 5 y 2
2x 3 y 3
2.
Current:
a) Arrange the terms of the
polynomial so that the powers of x
are in descending order.
3xy 2  5 x 4 y 3  x 2 y 4  7 y
b) What is the degree of the
polynomial?
4.
Simplify.
Other:
 3x  2 y  28x  9 y 
Today’s Objective/Standards:
 Students add, subtract, multiply, and divide monomials and polynomials. Students solve
multi-step problems, including word problems, by using these techniques. (10.0)
Format: PDG Jan. 2005
Warm-Up
6-7
1.
4x
A.
B.
C.
D.
CST:
 

2.
Current:
 2 x  8  x 2  3x  2  Find the sum.
3x 2  6 x  7
5x 2
 4
3x 2  x  6
2
3 x 2  x  10
  x  x  12
3x 2  5 x  6
3 x 2  5 x  10
2
3.
Review:
4.
a) What degree is this polynomial? Simplify.
1 2
 x y  11y 3  4x 3  xy 2
2
Other:
 27 a 7 bc 3
18a 5 b 6
b) Rearrange the terms of the
polynomial so that the powers of x
are in descending order.
Today’s Objective/Standards:
 Students add, subtract, multiply, and divide monomials and polynomials. Students solve
multi-step problems, including word problems, by using these techniques. (10.0)
Format: PDG Jan. 2005
Warm-Up
6-8A
1.
CAHSEE:
Simplify.
x
A.
B.
C.
D.
2
 
 3x  1  x  2 x  7
2
2.
Current:
Find the product.


6 xy 2 5x 2  2 xy  y 2

x6
 x 8
 5x  6
2x2  x  8
3.
Review:
Simplify.

 
4.
Simplify.

4m 3m 2  2m  5  2 m 2  m  1
Other:
3xx  7  2x  7
Today’s Objective/Standards:
 Students add, subtract, multiply, and divide monomials and polynomials. Students solve
multi-step problems, including word problems, by using these techniques. (10.0)
Format: PDG Jan. 2005
Warm-Up
6-8B
1.
CST:
2.
Current:
The sum of two binomials is
Find the product.
5 x 2  6 x. If one of the binomials is
(4b  2)(3b  5)
3x 2  2 x, what is the other
binomial?
A. 2 x  4 x
2
B. 2 x  8 x
2
C. 8 x  4 x
2
D. 8 x  8 x
2
3.
Review:
Simplify.
(2 x 3 y 2 z ) 3
4.
Other:
Simplify.

 

5 x x 2  3x  7  2 x 2  4 x  3
Today’s Objective/Standards:
 Students add, subtract, multiply, and divide monomials and polynomials. Students solve
multi-step problems, including word problems, by using these techniques. (10.0)
Format: PDG Jan. 2005
Warm-Up
6-9
1.
CST:
2.
Current:
Which of the following expressions Find the product.
is equal to
2 x  13x 2  4 x  1
x  2  x  22x  1?
A. 2 x  2 x
2
B. 2 x  4 x
2
C. 2 x  x
2
D. 4 x  2 x
2
3.
Review:
4.
Evaluate. Express the result in
scientific and decimal notation.
5610 10 10 
8
5
Other:
Simplify.


2 5 3
 5 ab c
Today’s Objective/Standards:
 Students add, subtract, multiply, and divide monomials and polynomials. Students solve
multi-step problems, including word problems, by using these techniques. (10.0)
Format: PDG Jan. 2005
Chapter 6 Review
1.
Review:
Simplify.
a)
4
2 3
16a 3b 2 x 4 y
b) 48a 4 bxy 3
3.
2.
Review:
Simplify.
2c d  3c 
2
Warm-Up
Review:
Find the product.
(3x  4)( 2 x 2  5 x  1)
a)
a
b)
a
4.
2
2
 6ab  7b 2  3a 2  ab  b 2
 

 

 6ab  7b 2  3a 2  ab  b 2
Review:
Evaluate. Express the result in
scientific and decimal notation.
1.44 109
12 105
Today’s Objective/Standards:
 Students add, subtract, multiply, and divide monomials and polynomials. Students solve
multi-step problems, including word problems, by using these techniques. (10.0)
Format: PDG Jan. 2005