Week 5

Day
21

1. 
Simplify:

2 ( 2x + 3y) + 4 ( x ! y) =

2. 
Addi/on
with
Ra/onal
#s

The
Number
Line

-5 0 5
Values
greater
than
0,
or
posi%ve

numbers,
are
listed
to
the
right
of
0.

Values
less
than
0,
or
nega%ve

numbers,
are
listed
to
the
le@
of
0.

To
GRAPH

a
set
of
numbers
means
to
locate
and

mark
the
points
on
the
number
line.

Graph
{-‐1,
0,
2}.

• •

•

-

5

0

5

Be
sure
to
put
the
dots
on
the
line
–

not
above
or
below.

Name
the
set
of

numbers
graphed.

-5
• • 0 • •• • 5 •
• •
{-‐2,
-‐1,
0,
.
.
.
}

The
darkened
arrow
means
that
the

graph
keeps
on
going.

When
you
see
this,
put
3
dots
in
your

set.

Use
the
number
line
to
add

and
subtract.

-5 0 5

1)

(-‐4)
+
8
=

4

2)

(-‐1)
+
(-‐3)
=

-‐4

3)

5
+
(-‐7)
=

-‐2

AddiFon
Rule

When
the
signs
are
the
same,

ADD
and
keep
the
sign.

(-‐2)
+
(-‐4)
=
-‐6

When
the
signs
are
diﬀerent,

SUBTRACT
and
use
the
sign
of
the

larger
number.

(-‐2)
+
4
=
2

2
+
(-‐4)
=
-‐2

Karaoke
Time!

Addi/on
Rule:
Sung
to
the
tune
of

Row,
Row,
Row,
Your
Boat.

Same
signs
add
and
keep,

diﬀerent
signs
subtract,

keep
the
sign
of
the
higher
number,

then
it
will
be
exact.

Can
your
class
do
rounds?

Day
22

1. 
Evaluate:

2 ⎛ 3 ⎞
+ ⎜ − ⎟ =
5 ⎝ 4 ⎠
2. 
Subtrac/on
with
Ra/onal
#s

When
subtrac/ng,
change
the

subtrac/on
to
adding
the
opposite

(keep-‐change-‐change)
and
then
follow

your
addi/on
rule.

-‐
4
-‐
(-‐7)

-‐
4
+
(+7)

Diﬀerent
signs—Subtract
and
use

larger
sign.

3

Let’s
Sing
Again…

Change
the
minus
to
a
plus,

change
the
sign
of
the
next.

All
you
do
is
add
them
up

as
if
it
were
a
plus.

Absolute
Value

of
a
number
is
the
distance
the

number
is
from
zero.

Distance
can
NEVER
be

nega/ve.

The
symbol
is
|a|,
where
a
is

any
number.

Examples:

⏐7⏐
=
7

|10|
=
10

|-‐100|
=
100

|5
–
8|
=
|—3|
=
3

Evaluate

15

−

x

+

4

if
x
=
8.

15 − 8 + 4
15 − 12
15 − 12
3

Day
23

1. 
Evaluate:

2 ⎛ 4 ⎞
− ⎜ − ⎟ =
3 ⎝ 7 ⎠
2. 
Integer
Football

3. 
AM

Day
24

1. 
Evaluate:

2 + (−3) =
− 3 − (−5) =
− 2 + ( −4 ) =
2. 
AM
(4
objec/ves)

3. 
Test,
Adding
&
Subtrac/ng
Integers

Day
25

1. 
Have
you
completed
4
AM
objec/ves?

2. 
Do
you
have
any
make-‐up
work?

3. 
We
will
take
another
test
over
adding

and
subtrac/ng
integers
shortly.

Week 5

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Week 5