The document provides instruction on adding and subtracting rational numbers. It explains that positive numbers are plotted to the right of zero on the number line, while negative numbers are plotted to the left of zero. Rules for addition and subtraction of rational numbers are given, including keeping the same sign for addition if signs are the same, and using the sign of the larger number if signs are different. Absolute value is defined as the distance from zero, which can never be negative. Practice problems for evaluating expressions with integers are also included.

1. Day
21
1.
Simplify:
2 ( 2x + 3y) + 4 ( x ! y) =
2.
Addi/on
with
Ra/onal
#s

2. 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.

3. 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.

4. 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.

5. Use
the
number
line
to
add
and
subtract.
-5 0 5
1)
(-­‐4)
+
8
=
4
2)
(-­‐1)
+
(-­‐3)
=
-­‐4
3)
5
+
(-­‐7)
=
-­‐2

6. 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

7. 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?

8. Class
Assignment

9. Day
22
1.
Evaluate:
2 ⎛ 3 ⎞
+ ⎜ − ⎟ =
5 ⎝ 4 ⎠
2.
Subtrac/on
with
Ra/onal
#s

10. 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

11. 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.

12. 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.

13. Examples:
⏐7⏐
=
7
|10|
=
10
|-­‐100|
=
100
|5
–
8|
=
|—3|
=
3

14. Evaluate
15
−
x
+
4
if
x
=
8.
15 − 8 + 4
15 − 12
15 − 12
3

15. Day
23
1.
Evaluate:
2 ⎛ 4 ⎞
− ⎜ − ⎟ =
3 ⎝ 7 ⎠
2.
Integer
Football
3.
AM

16. Integer
Football

17. Day
24
1.
Evaluate:
2 + (−3) =
− 3 − (−5) =
− 2 + ( −4 ) =
2.
AM
(4
objec/ves)
3.
Test,
Adding
&
Subtrac/ng
Integers

18. 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.