Chapter 2 Homework

Page 1

Name:
___________________________________
 2.1
The
Real
Numbers
and
Absolute
Value
Homework
 1.

Insert
an
ordering
symbol
to
make
each
 2.
Insert
an
ordering
symbol
to
make
each
 statement
true.

 statement
true.

 
 
 5
___>___
­7
 
1/2
______
8/16
 
 5
is
to
the
right
of
­7
on
a
number
line
 
 
 **




<,
>,
≤,
≥,
=



**
 3.
Insert
an
ordering
symbol
to
make
each
 statement
true.

 
 ‐4.8
______
‐4.7

5.
a)
Find
the
opposite
6.

 
 ‐
(6)
=
‐6

4.
Insert
an
ordering
symbol
to
make
each
 statement
true.

 
 3
______
‐7

6.
.
a)
Find
the
opposite
­3.


 
 ‐
(‐3)
=
3
 
 

Answer:


‐6

.






 

Answer:



3


.






 


b)
Find
the
absolute
value
of
6.

 


b)
Find
the
absolute
value
of
­3.

 
 
 |6|
=
6
 |‐3|
=
3
 
 
 Answer:




6


.
 Answer:




3


.
 7.
.
a)
Find
the
opposite
4.2

 8.

a)
Find
the
opposite
‐2.1

 
 
 
 
 
 
 Answer:
______
 Answer:
______
 






b)
Find
the
absolute
value
of
4.2
 






b)
Find
the
absolute
value
of
‐2.1
 
 
 
 
 
 
 Answer:
______
 Answer:
______
 9.
a)
Find
the
opposite
2.
 10.
a)
Find
the
opposite
‐8.

 
 
 
 
 Answer:
______
 Answer:
______
 






b)
Find
the
absolute
value
of
2.

 






b)
Find
the
absolute
value
of
‐8.

 
 
 
 
 
 
 Answer:
______
 Answer:
______

2.2
Adding
Real
Numbers
Homework
 1.

Find
the
sum
of
the
real
numbers.

Name:
___________________________________

2.
Find
the
sum
of
the
real
numbers.

 ‐2
+
(­8)
 9
+
12
 
 
 

With
like
signs
find
the
absolute
value
of
each
number.

 
 |‐2|
=
2





|‐8|
=
8
 
 
 
 
 Add
the
two
numbers
together.

SUM
 
 
 2
+
8
=
10
 
 
 
 Keep
the
sign
of
the
original
numbers.

 
 ‐10
 
 
 Answer:
_________________
 Answer:



‐2
+
(‐8)
=
10


.

3.
Find
the
sum
of
the
real
numbers.

 ‐3
+
(‐15)

4.
Find
the
sum
of
the
real
numbers.

 ‐7
+
(‐15)

Answer:
___________________

5.
Find
the
sum
of
the
real
numbers.

 15
+
(­23)

Answer:
___________________

6.
.
Find
the
sum
of
the
real
numbers.

 ‐14
+
21
 
 With
unlike
signs,
find
the
absolute
value
of
each
number.
 
 |15|
=
15





|‐23|
=23
 
 
 
 Subtract
the
two
numbers.

DIFFERENCE
 
 23
–
15
=
8
 
 
 
 Keep
the
sign
of
the
bigger
LOOKING
number.
 
 23
looks
bigger
then
15
so……


‐8
 
 
 Answer:
___________________
 Answer:


15
+
(‐23)
=
‐8


.
 7.

Find
the
sum
of
the
real
numbers.

 8.

Find
the
sum
of
the
real
numbers.

 18
+
(‐7)
 17
+
(‐32)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Answer:
___________________
 Answer:
___________________

2.3
Subtracting
Real
Numbers
Homework
 1.

Find
the
difference
of
the
real
numbers.

Name:
___________________________________

2.
Find
the
sum
of
the
real
numbers.

 3
–
(­4)
 ‐10
–
(‐10)
 
 
 Rewrite
the
equation
using
addition
 
 And
follow
the
rules
for
adding
real
numbers.
 
 
 
 3
+
‐(‐4)
 
 3
+
4
 
 7
 
 
 
 
 Answer:
_________________
 Answer:



3
–
(‐4)
=
7



.
 3.
Find
the
sum
of
the
real
numbers.

 4.
Find
the
sum
of
the
real
numbers.

 2
‐
5
 ‐8
‐
5
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Answer:
___________________

5.
What
is
the
distance
between
­5
and
3
on
the
 number
line?
 
 Find
the
absolute
value
of
the
difference.
 |‐5
–
3|

 |‐5
+
‐(3)|
 |‐5
+
‐3|
 |‐8|
 8
 
 
 
 Answer:__8
unites_________

7.
What
is
the
distance
between
‐5
and
‐6
on
the
 number
line?

Answer:
___________________

Answer:
___________________

6.
What
is
the
distance
between
3
and
‐7
on
the
 number
line?

Answer:
___________________

8.

What
is
the
distance
between
‐3
and
13
on
the
 number
line?

Answer:
___________________

Name:
___________________________________
 2.4
Multiplying
and
Dividing
Real
Numbers
Homework
1
of
2
 1.
Find
the
product
of
9
and
­4.

 2.
Find
the
product
of
10
and
‐2.

 
 
 9
*
‐4
 
 ‐36
 
 
 
 Answer:
_‐36_
 Answer:
_______
 3.
Find
the
product
of
‐3
and
2.

 4.
Find
the
product
of
4
and
‐8.

 
 
 
 
 
 
 
 
 Answer:
_______
 Answer:
_______
 5.
Find
the
product
of
­10
and
­2.

 6.
Find
the
product
of
10
and
2.

 ‐10
*
‐2
 
 20
 
 
 
 
 
 Answer:
__20__
 Answer:
_______
 7.
Find
the
product
of
‐4
and
‐7.

 8.
Find
the
product
of
‐5
and
‐10.

 
 
 
 
 
 
 
 
 Answer:
_______
 Answer:
_______
 9.
Find
the
quotient
of
10
and
­2.

 10.
Find
the
quotient
of
‐50
and
5.

 10
/

‐2
 
 ‐5
 
 
 
 
 
 Answer:
__­5___
 Answer:
_______
 11.
Find
the
quotient
of
12
and
‐3.

 12.
Find
the
quotient
of
10
and
‐2.

 
 
 
 
 
 
 
 
 Answer:
_______
 Answer:
_______
 13.
Find
the
quotient
of
­10
and
­2.

 14.
Find
the
quotient
of
‐16
and
‐4.

 ‐10
/
‐2
 
 5
 
 
 
 
 
 Answer:
___5___
 Answer:
_______
 15.
Find
the
quotient
of
15
and
3.

 16.
Find
the
quotient
of
‐36
and
‐4.

 
 
 
 
 
 
 
 
 Answer:
_______
 Answer:
_______

Name:
___________________________________
 2.4
Multiplying
and
Dividing
Real
Numbers
Homework
2
of
2
 17.
Find
the
product
of
9
and
its
reciprocal

 18.
Find
the
product
of
10
and
its
reciprocal.

 
 
 1 9
*
 /9
 
 1
 
 
 
 Answer:
__1
__
 Answer:
_______
 19.
Find
the
product
of
3
and
its
reciprocal.
 20.
Find
the
product
of
4
and
its
reciprocal.

 
 
 
 
 
 
 
 
 Answer:
_______
 Answer:
_______
 2 4 21.
Find
the
product
of
 /3
and
its
reciprocal.

 22.
Find
the
product
of
 /3
and
its
reciprocal

 
 
 2/ 
*
3/ 
 
 3 2 1
 
 
 
 Answer:
__1___
 Answer:
_______
 23.
Find
the
product
of
8/9
and
its
reciprocal.
 24.
Find
the
product
of
‐5
and
its
reciprocal.

 
 
 
 
 
 
 
 
 Answer:
_______
 Answer:
_______
 25.
Find
the
quotient
4
and
0
 26.
Find
the
quotient
of
‐5
and
0.

 
 
 4
/
0
 
 undefined
 
 
 
 Answer:
_und._
 Answer:
_______
 27.
Find
the
quotient
of
12
and
0.

 28.
Find
the
quotient
of
10
and
0.

 
 
 
 
 
 
 
 
 Answer:
_______
 Answer:
_______
 29.
Find
the
quotient
of

0
and
­2.

 31.
Find
the
quotient
of
0
and
‐4.

 
 
 0
/
‐2
 
 0
 
 
 
 Answer:
___0___
 Answer:
_______
 32.
Find
the
quotient
of
0
and
3.

 32.
Find
the
quotient
of
0
and
‐4.

 
 
 
 
 
 
 
 
 Answer:
_______
 Answer:
_______

2.5
Properties
and
Mental
Computation
Homework
 1.
Name
the
property
used
in
each
step
of
the
 computation.

 
 
 (
24
+
27
)
+56
 
 (
27
+
24
)
+56
 
 commutative
property
 
 27
+
(
24
+
56
)
 
 associative
property
 
 27
+
(
80
)
 
 107

3.
Name
the
property
used
in
each
step
of
the
 computation.
 
 
 (
2
+
8
)
+
(‐2)
 
 (
8
+
2
)
+
(‐2)
 
 
 _________________________________
 
 8
+
(
2
+
(‐2))
 
 
 _________________________________
 
 8
+
0
 
 8

Name:
___________________________________
 2.
Name
the
property
used
in
each
step
of
the
 computation.
 
 
 
 
 25
(
7
+
4
)
 
 25
*
7
+
25
*
4
 
 _________________________________
 
 175
+
100
 
 275

4.
Name
the
property
used
in
each
step
of
the
 computation.
 
 
 
 (
1
+
2
)
+
3
 
 (
2
+
1
)
+
3










 
 
 ___________________________________
 
 2
+
(
1
+
3
)










 
 
 ___________________________________
 
 2
+
4
 
 6

Name:
___________________________________
 2.6
Adding
and
Subtracting
Expressions
Homework
 1.

Simplify
the
expression
by
combining
like
 2.
Simplify
the
expression
by
combining
like
terms.
 terms.

 3d
+
8

+

4d
+
3

 (
3x
+
2
)
+
(4x
+
3
)
 
 
 
 3x
+
2
+
4x
+
3
 
 Rearrange
and
group
like
terms.
 
 3x
+
4x
+
2
+
3
 
 (3x
+
4x)
+
(2
+
3)
 
 Combine
like
terms.

 
 7x
+
5
 
 
 
 Answer:



















7x
+
5

Answer:
_________________

3.
Simplify
the
expression
by
combining
like
terms.
 4.
Simplify
the
expression
by
combining
like
terms.
 
2c
+
10


+
‐4c
‐
12

 
7
+
a

+
14
+
3a

Answer:
_________________

Answer:
_________________

 5.
Simplify
the
expression
by
combining
like
 6.
Simplify
the
expression
by
combining
like
terms.
 terms.
 
a
+
9

–

3a
–
7

 7d
­
13

­

8d
­
6y

 
 
 
 Rearrange
and
group
the
like
terms.

 
 7d
+
(‐8d)
+
(‐13)
+
(‐6)
 
 (7d
+
(‐8d))
+
(‐13
+
(‐6))
 
 Combine
like
terms.

 
 ‐1d
+
(‐19)
 
 
 
 
 Answer:
___­d
+
(­19___

Answer:
_________________
 7.
Simplify
the
expression
by
combining
like
terms.
 8.
Simplify
the
expression
by
combining
like
terms.
 5n
+
8

–

4n
+
3

 ‐4n
+
3

–
2n
–


 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Answer:
_________________
 Answer:
_________________

Name:
___________________________________
 2.7
Multiplying
and
Dividing
Expressions
Homework
 1.

Simplify
the
expression.
 2.
Simplify
the
expression.
 2
*
6x
 3
*
4x
 
 Multiply
numbers
with
numbers.

 12x

Answer:




12x


.

3.
Simplify
the
expression.
 5x
*
7

4.
Simplify
the
expression.
 x
*
8x

Answer:
__________

5.
Simplify
the
expression.
 8
*
4x2

Answer:
__________

Answer:
__________

6.
Simplify
the
expression.
 2x2
*
10
 
 
 
 Answer:
__________

Answer:
__________

7.
Simplify
the
expression.
 3x
*
4x2
 
 Add
exponents
of
the
same
variable
together.
 12x3

8.
Simplify
the
expression.
 2x2
*
10x3
 
 Add
exponents
of
the
same
variable
together.
 20x5

Answer:
__________

9.
Simplify
the
expression.
 8x2
*
4x2

10.
Simplify
the
expression.
 3x6
*
4x2

Answer:
__________

11.
Simplify
the
expression.
 4x
*
4x5

12.
Simplify
the
expression.
 6x5
*
4x4

Answer:
__________

Answer:
__________

Answer:
__________

Answer:
__________

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