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 Name:
___________________________________
 1.1
Using
Differences
to
Identify
Patterns
Homework
 1.
Find
the
next
3
terms
of
the
sequence.
 2.
Find
the
next
3
terms
of
the
sequence.
 
 
 1








3








5








7








9






__11_




__13_





__15_
 10




12




14




16




18




______




______




______
 



\


/



\



/


\




/

\



/


\

/









\

/








\


/
 




+2





+2






+2






+2




+2










+2










+2
 9
+
2
=
11
 11
+
2
=
13
 13
+
2
=
15
 3.
Find
the
next
3
terms
of
the
sequence.
 
 87




78




69




60




51




______





______





______


4.
Find
the
next
3
terms
of
the
sequence.
 
 49




42




35




28




21




______




______




______


5.
Find
the
next
3
terms
of
the
sequence.
 
 10




17




26




37




50




_____




_____




_____


6.
Find
the
next
3
terms
of
the
sequence.
 
 1




4




9




16




25




_____




_____




_____


7.
Examine
the
example
below.
 
 Find
the
next
3
terms
of
the
sequence.

 4




7




15




28




46




64




82




100
 
 
 
 
 What
was
done
incorrectly
and
how
could
you
 correct
it?
 


8.
Examine
the
example
below.
 
 Find
the
next
3
terms
of
the
sequence.
 1




8




18




31




47




50




53




56
 
 
 
 
 What
was
done
incorrectly
and
how
could
you
 correct
it?



Name:
___________________________________
 1.1 Using
Differences
to
Identify
Patterns
Homework
 9.
The
table
below
shows
the
approximate
distance
from
a
lightening
strike
to
an
observer
based
 on
the
time
it
takes
the
observer
to
hear
the
thunder.

 Seconds
 2
 4
 6
 8
 10
 12
 14
 16
 Miles
 0.4
 0.8
 1.2
 1.6
 2.0
 ?
 ?
 ?
 
 Use
constant
differences
to
complete
the
table.
 
 
 
 
 
 How
many
miles
away
is
the
observer
when
it
takes
the
observer
12
seconds
to
hear
the
thunder?


10.
As
the
altitude
increases,
the
boiling
point
of
water
decreases.

In
Las
Vegas,
NV
at
an
altitude
of
 approximately
2100
ft
the
boiling
point
of
water
is

approximately
208
degrees
farenheit.
 Altitude
 0
 1000
 2000
 3000
 4000
 5000
 6000
 7000
 8000
 Temp.(F)
 212
 210
 208
 206
 204
 202
 ?
 ?
 ?
 
 Use
constant
differences
to
complete
the
table.

 
 
 
 
 Colorado
Springs,
CO
has
an
altitude
of
approximately
6100
feet.
What
is
the
approximate
boiling
point
of
 water?
 
 11.
Describe
what
a
constant
difference
is
in
your
own
words.

 
 


12.
Describe
how
to
find
the
next
three
terms
of
sequence
given
the
first
five
terms.




Name:
___________________________________
 1.2 Variables,
Expressions
and
Equations
Homework
 1.
Make
a
table
to
show
the
value
of
the

 2.
Make
a
table
to
show
the
value
of
the
 expression
5p­3
when
p
is
1,
3
&
5.
 expression
4x
when
x
is
2,
3,
and
4.

 
 P
 1
 3
 5
 5p‐3


5(1)‐3
 5‐3


5(3)
‐3
 15‐3


5(5)‐3
 25‐3


Value


8
 12
 22
 
 3.
Solve
the
equation
4x+3=47.

 
 Make
a
table
of
values,
with
x=1,
2,
3,
4…..

Keep
going
until
you
get
a
value
of
47.

 X
 1
 2
 3
 4


5


4x+3


4(1)+3
 4+3


4(2)+3
 8+3


4(3)+3
 12+3


4(4)+3
 16+3


4(5)+3
 20+3


Value


7


11


15


17


23



 X
 4x+3
 Value


6


7


8


9


10


4(6)+3
 24+3


4(7)+3
 28+3


4(8)+3
 32+3


4(9)+3
 36+3


4(10)+3
 40+3


4(11)+3
 44+3


27


31


35


39


43


47


4x
+3
=
47
when
x=
11

 4.
Solve
the
equation
7x‐12=44.

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 7x
‐
12
=
44
when
x=______
 


11



Name:
___________________________________
 1.3 The
Algebraic
Order
of
Operations
Homework
 1.
Evaluate
the
expression
using
the
algebraic
 2.
Evaluate
the
expression
using
the
algebraic
 order
of
operations
(PEMDAS).
 order
of
operations
(PEMDAS).
 43
*
32
+
91
*
67
 3
*
15
+
9
 Parenthesis‐

skip
 
 Exponents‐
skip
 
 Multiply













(43
*
32)
+
(91*67)
 
 322
+
6097
 
 Divide‐
skip
 
 Add

































6419
 
 Subtract‐
skip
 
 Answer:
6419
 Answer:_______
 3.
Evaluate
the
expression
using
the
algebraic
 4.
Evaluate
the
expression
using
the
algebraic
 order
of
operations
(PEMDAS).
 order
of
operations
(PEMDAS).

 3(2
+
7
–
8)
+
16
 2
*
62
–
10
+
4
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Answer:
_______
 Answer:
_______
 5.
Examine
the
example
provided.
 Evaluate
the
expression
using
the
algebraic
 order
of
operations
(PEMDAS).

 82
+
72
*
62
 
 Step
1:























64
+
49
*
36
 Step
2:


























113
*
36
 Step
3:






























4068
 
 
 Answer:
4068
 
 
 What
was
done
incorrectly
and
why?
 





 


In
Step
2,
64
+
49
was
done
first.
This
is
wrong
 because
when
using
PEMDAS
you
should
 multiply
before
you
add.
49
*
36
should
have
 been
done
first.




6.
Examine
the
example
provided.

 Evaluate
the
expression
using
the
algebraic
order
 of
operations
(PEMDAS).
 (15
*
10
–
20
*
12)
/
10
 
 Step
1:


(15
*
‐10
*
12
)
/
10
 Step
2:


(‐150
*
12
)
/
10
 Step
3:

(‐1800
)
/
10
 Step
4:

‐180
 
 Answer:

‐180

 
 
 What
was
done
incorrectly
and
why?



1.4 Graphing
with
Coordinates
Homework
 Use
the
following
coordinate
plane
and
labeled
 points
for
questions
1‐5.
 
 
 






























E
 


Name:
___________________________________


1.
What
is
the
x‐coordinate
of
point
A?
 
 
 What
is
the
y‐coordinate
of
point
A?
 
 
 What
is
point
A?
 











A
 
 








































 B
 
 


























 What
quadrant
is
point
A
in?
 
 
 
 
 How
did
you
determine
the
coordinates
of
point
A?
 


















































































































































 

























C
 













































 _










D





















 























































 .



























F
 
 
 2.
What
is
the
x‐coordinate
of
point
C?
 
 What
is
the
y‐coordinate
of
point
C?
 
 What
is
point
C?
 
 What
quadrant
is
point
C
in?
 
 How
did
you
determine
the
coordinates
of
point
C?
 
 
 
 
 
 
 4.
What
is
the
x‐coordinate
of
point
B?
 
 What
is
the
y‐coordinate
of
point
B?
 
 What
is
point
B?
 
 What
quadrant
is
point
B
in?
 
 How
did
you
determine
the
coordinates
of
point
B?
 
 
 
 
 


3.
What
is
the
x‐coordinate
of
point
D?
 
 What
is
the
y‐coordinate
of
point
D?
 
 What
is
point
D?
 
 What
quadrant
is
point
D
in?
 
 How
did
you
determine
the
coordinates
of
point
D?


5.
What
is
the
x‐coordinate
of
point
F?
 
 What
is
the
y‐coordinate
of
point
F?
 
 What
is
point
F?
 
 What
quadrant
is
point
F
in?
 
 How
did
you
determine
the
coordinates
of
point
F?



Name:
___________________________________
 1.5 Representing
Linear
Patterns
Homework
 1.
The
costs
associated
with
being
a
member
of
a
DVD
club
are
presented
in
the
table
below.
Find
 the
first
differences
and
write
an
equation
to
represent
the
data
pattern.

 
 #
of
DVDS
 0
 1
 2
 3
 4
 5
 Total
Cost
$
 26
 39
 52
 65
 78
 91
 
 Find
the
first
differences.

 26






39






52






65






78






91
 
 
 
 
 
 Follow
the
formula
for
equations:


total
cost
=
constant
difference
*
#
of
DVDs
+
initial
cost
 





 
 



Total
Cost:
changes
by
a
difference
greater
then
1,








y
 



Constant
Difference:

found
to
be
13


































13
 




#
of
DVDs:
changes
by
a
difference
of
1,




























x
 




Initial
Cost:
paired
with
0,




















































26
 








 Answer:




y=13x+26
 

 2.
The
costs
associated
with
being
a
member
of
a
CD
club
are
presented
in
the
table
below.
Find
the
first
 differences
and
write
an
equation
to
represent
the
data
pattern.

 
 #
of
CDs
 0
 1
 2
 3
 4
 5
 Total
Cost
$
 25
 34
 43
 52
 61
 70
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 



1.6 Scatter
Plots
and
Lines
of
Best
Fit
Homework
 1.
Draw
a
scatter
plot
of
the
following
data
 points
and
determine
the
correlation
and
the
 strength
of
the
relationship.

 X
 1
 3
 6
 7
 9
 11
 14
 y
 0
 4
 8
 6
 4
 10
 9
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 3.
Draw
a
scatter
plot
of
the
following
data
points
 and
determine
the
correlation
and
the
strength
of
 the
relationship.
 X
 1
 3
 6
 7
 9
 11
 14
 y
 0
 4
 ‐5
 7
 ‐10
 1
 ‐3
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 


Name:
___________________________________
 2.
Draw
a
scatter
plot
of
the
following
data
points
 and
determine
the
correlation
and
the
strength
of
 the
relationship.
 X
 1
 3
 6
 7
 9
 11
 14
 y
 0
 ‐4
 ‐8
 ‐6
 ‐4
 ‐10
 ‐9
 
 


4.
Draw
a
scatter
plot
of
the
following
data
points
 and
determine
the
correlation
and
the
strength
of
 the
relationship.
 X
 1
 3
 6
 7
 9
 11
 14
 ‐3
 0
 4
 5
 8
 10
 9
 
 y



1.6 Scatter
Plots
and
Lines
of
Best
Fit
Homework
 1.
Draw
a
a
line
of
best
fit
on
the
scatter
plot
 below.

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 3.
Draw
a
line
of
best
fit
on
the
scatter
plot
below.

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 


Name:
___________________________________
 2.
Draw
a
line
of
best
fit
on
the
scatter
plot
below.

 
 
 
 
 
 
 
 
 
 
 
 


4.
Draw
a
line
best
fit
on
the
scatter
plot
below.




Chapter 1 Homework