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Welcome to Class #9!
10/27/16
• Warmup: #3-18
7/6/2017
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1
Agenda 10/27/16
1. Warmup
2. Finish station activity
3. Combining Like Terms
4. Perimeter Problems
5. Multiplying and Dividing with
Decimals
6. Individual Quiz
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Finish Station
Activity
One added station:
answers to HW #8
Math Vocabulary for tonight
Tonight’s vocabulary
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5
Variable: A symbol used to represent one or
more numbers. For ex., x and y are
variables.
Term: A term is a single number, variable, or
the product of numbers and variables. For
ex., 3x is a term, -5 is a term,
Expression: An expression contains one or
more numbers and/or variables. Each part of
the expression separated by addition or
subtraction signs is called a “term”. For ex.,
3x – 5 is an expression.
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6
Combining Similar
Terms using Algebra
Tiles
Each pair of students needs a
package of algebra tiles. Have
resource managers get these.
Rules for working with tiles:
• Clear off your desks and put tiles on a piece
of paper.
• Pick up any tiles that drop on floor!
• DO not break any tiles apart! The 5-unit
tiles are supposed to be attached.
• Return them to the plastic bag after working
with them.
Naming the tiles – keep this
page handy so you can refer to
it from now on.
2-21 (p. 46) What is the name of
the tile collections below? Write
the expression algebraically using
2
2
x, y, xy, x and y
Now try problem 2-17 (p. 45):
Simplify each algebraic
expression below, if possible. If
it is not possible to simplify the
expression, explain why not.
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11
Combining Like Terms (P. 57)
Like terms: Two or more terms that contain the
same variable(s), with corresponding variable(s
raised to the same power.
For
ex.,
5x
and
2x
are
like
terms
2
2
3x and  5x arelike terms.
Simplify by combining like terms.
1) 7x - 4y + 2x - y
9x - 5y
2) 3m + 10n - 4m + 1
-m + 10n + 1
3) 7x + 3y
7x + 3y
4) 6x - (5x) + 2x + (-3)
3x - 3
5) 4k - (2j) - 6k - j
-2k - 3j
6) 10 - 4x + 3y - 17x
-21x + 3y + 10
7) 6r - 2.3s - -9r - 3.5s
15r - 5.8s
1
1
8) 4 p  6q  2 p  q
2
3
1
2 p - 5q
6
9) 16 - 14m - - m - 27
-13m - 11
10) 8e + 3f + (-5e) - -5f
3e + 8f
More examples of combining like terms
Two methods:
1. Work horizontally
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Two methods:
2. Work vertically
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16
Perimeter
Problems
P. 44
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More practice
combining
similar terms for
homework (See
handout)
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18
Objective - To multiply decimals and
whole numbers.
Use vertical format to multiply.
1)
3  0.4
0.4
 3
12
1.2
1 decimal place
1 decimal place
2)
5  0.03
0.03
 5
15
0.15
2 decimal places
2 decimal places
Use vertical format to multiply.
1) 7  0.8
2) 8  0.8
3) 9  0.16
0.8
 7
56
0.8
 8
64
0.16
 9
144
5.6
6.4
1.44
Snack Shack Prices
Cookies
$0.25
Chips
$0.75
Soda
$0.99
Licorice
$0.60
Candy Bar
$0.85
How much would it cost to buy 2 cookies and 1 Soda?
2  0.25  0.50
0.50  0.99  $1.49
Objective - To multiply decimals.
Use vertical format to multiply.
1) 1.24  1.1
1.24 2 decimal places
 1.1 1 decimal place
124
 1240
1364 2+1=3, so product
has 3 decimal places
1.364
2) 2.21  0.02
2.21 2 decimal places
 0.02 2 decimal places
442
 0000
442 2+2=4, so product
has 4 decimal places
0.0442
Use vertical format to multiply.
1) 1.33  0.8
1.33
 0.8
1064
1.064
2) 1.37  12.5
3) 0.335  4.2
1.37
 12.5
685
 2740
13700
17125
0.335
 4.2
 670
13400
14070
17.125
1.407
How many decimal places will each product have?
1. 0.0245  1.0981
8 places
2. 766.3  11.00007
6 places
3. 0.474747  0.001
9 places
4 10.090909  1.343434
12 places
Objective - To divide decimals by whole numbers.
Correctly place the decimal point in the quotient.
08
9 7.2
0.8
214
9 19.26
2.14
013
8 1.04
147
6 8.82
0.13
1.47
353
6 211.8
2101
4 84.04
35.3
21.01
Divide the following decimals.
1) 4 4.8
2) 7 6.3
3) 5 8.5
1.2
4 4.8
4
08
 8
0
0.9
7 6.3
0
63
63
0
1.7
5 8.5
5
35
35
0
Divide the following decimals.
4) 7 45.5
5) 8 34.4
6) 3 9.36
6.5
7 45.5
42
35
35
0
4.3
8 34.4
 32
24
24
0
3.12
3 9.36
9
03
 3
06
6
0
Objective - To divide decimals using long
division.
5.292  100  529.2
0.03 5.292 means

=
3
0.03  100 
1 76.4
3 529.2
3
22
21
19
18
12
12
0
Divide the following decimals.
1) 0.5 98.2
196.4
5 982 .0
5
48
45
32
30
20
20
0
2) 0.12 1.6404
1 3.6 7
12 164.04
12
44
36
80
72
84
84
0
Find the length of the missing side in the
figure below.
Area = 15.41
2.3 cm
l
Area  l  w
15.41  l  2.3
2.3 15.41
6.7
23 154.1
138
161
161
0
HW #9
Part 1: 30 minutes practice on Khan
Academy
Part 2: Extra practice booklet
“Combining like terms” (handout)
Part 3: Textbook Chapter 2 # 2-18,
2-19, 2-20, 2-30, 2-33, 2-43, 2-45, 2-46
32