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 Name:
___________________________________
 3.1
Solving
Equations
by
Adding
and
Subtracting
Homework
 1.

a)
Solve
the
equation.

 2.
a)
Solve
the
equation.

 
a
–
16
=
15
 m
+
36
=54
 















































+16

|
+16
 










































a


+0



|


31
 





















































a
=
31


















































‐
36

|
‐36
 










































m


+0



|

18
 





















































a
=
18


Answer:

a
=
31

.
 Answer:

a
=
18

.
 





b)
Check
your
solution.
 





b)
Check
your
solution.
 a
–
16
=15
 m
+
36
=
54
 31
–
16
=
15
 18
+
36
=
54
 














































15
=
15



correct!
 














































54
=
54



correct!
 


3.
a)
Solve
the
equation.

 16
+
b
=
35



 
 


4.
a)
Solve
the
equation.

 v
–
13
=
26


Answer_________.
 





b)
Check
your
solution.



 
 
 Answer:

_______

.








b)
Check
your
solution.
 
 



 



 


5.

a)
Solve
the
equation.

 y
+
5
=
13


6.

a)
Solve
the
equation.

 d
–
27
=
57
 
 
 



 
 


Answer:

_______

.


Answer:

_______

.








b)
Check
your
solution.








b)
Check
your
solution.



 
 



 
 


7.
a)
Solve
the
equation.

 f
–
40
=
106


8.
a)
Solve
the
equation.

 g
+
33
=
46
 
 
 



 
 


Answer:

_______

.
 





b)
Check
your
solution.


Answer:

_______

.
 





b)
Check
your
solution.



 



 9.
Explain
using
sentences,
how
to
solve

and
check
x
+
7
=
10.



Name:
___________________________________
 3.2
Solving
Equations
by
Multiplying
and
Dividing
Homework
 1.

a)
Solve
the
equation.

 2.
a)
Solve
the
equation.

 
4a
=
20
 6
*

 m

=

6
 *
6
 













































4










4

 6







.
 













































1a

=

5


m
=
6
*
6
 m=36



 Answer:

a
=
5

.
 





b)
Check
your
solution.
 4a
=
20
 4
(5)
=
20
 














































20
=
20









correct!


3.
a)
Solve
the
equation.

 7b
=
35


Answer:

m
=
36

.
 





b)
Check
your
solution.


m=
6
 6



.
 36/ 
=
6
 6 













































6
=
6








correct!
 4.
a)
Solve
the
equation.

 v

=
26
 
 2








.
 
 


Answer_________.
 





b)
Check
your
solution.



 


Answer:

_______

.
 





b)
Check
your
solution.



 



 



 


5.

a)
Solve
the
equation.

 3y
=
15


6.

a)
Solve
the
equation.

 d
=
9
 
 3





.
 
 
 Answer:

_______

.








b)
Check
your
solution.



 
 


7.
a)
Solve
the
equation.

 26f

=
104



 
 Answer:

_______

.








b)
Check
your
solution.



 
 8.
a)
Solve
the
equation.

 g
=
3
 
 11




.
 
 
 Answer:

_______

.








b)
Check
your
solution.



 
 Answer:

_______

.








b)
Check
your
solution.



 
 
 9.
Explain
using
sentences,
how
to
solve
and
check
3x
=
42.



3.3
Solving
Two‐
Step
Equations
Homework
 1.

a)
Solve
the
equation.

 
4a
+
7=
27
 














































‐7
|

‐7
 












































4a

=

20
 












































4




|



4
 
















































a
=
5



Name:
___________________________________


1.

a)
Solve
the
equation.

 
a
+
7=
27
 4













.
 













































‐7
|


‐7
 








































a







=
20
 

4
*




























*
4
 








































4
 Answer:

a
=
5

.
 















































a
=
80








b)
Check
your
solution.
 4a
+
7=
27
 4
(5)

+
7=
27
 20
+
7
=
27
 















































27
=
27









correct!


3.
a)
Solve
the
equation.

 7b
–
13
=
8


Answer:

a
=
80

.
 





b)
Check
your
solution.
 a
+
7
=27
 4













.
 80/4
+7
=
27
 20
+7
=
27
 













































27
=
27








correct!


4.
a)
Solve
the
equation.

 v


+

10
=
26
 
 




































3








.
 
 
 Answer_________.








b)
Check
your
solution.


Answer:

_______

.
 





b)
Check
your
solution.



 



 



 


5.

a)
Solve
the
equation.

 3y
+
5
=
32


6.

a)
Solve
the
equation.

 d

+
23
=
25
 
 3


















.
 
 
 Answer:

_______

.








b)
Check
your
solution.



 
 


7.
a)
Solve
the
equation.

 6f

‐
20
=
4



 
 Answer:

_______

.








b)
Check
your
solution.



 
 8.
a)
Solve
the
equation.

 g

‐

11=
3
 
 5















.
 
 
 Answer:

_______

.








b)
Check
your
solution.



 



 



 
 Answer:

_______

.








b)
Check
your
solution.



3.4
Solving
Multistep
Equations
Homework
 1.

a)
Solve
the
equation.

 
4x
+
3
=
5x
­
4


Name:
___________________________________
 2.
a)
Solve
the
equation.

 5y
–
10
=
14
–
3y








































‐4x









|
‐4x





.
 

















































3
=
x
–
4
 














































+4

|




+4
 

















































7
=
x






































+3y












|









+3y
 




































8y
–
10
=
14
 










































+10

|
+10
 













































8y
=
24
 
 













































8







8
 
 















































y
=
3




 
 
 Answer:

x
=
7

.
 
 

4
*




























*
4
 





 













Answer:




y
=
3


 
b)
Check
your
solution.
 





b)
Check
your
solution.
 4x
+
3
=
5x
‐4
 5y
–
10
=
14
–
3y
 4(7)
+
3
=
5(7)
‐
4
 5(3)
–
10
=
14
–
3(3)
 28
+
3
=
35
–
4
 15
–
10
=
14
–
9
 














































31
=
31







correct!
 

















































5
=
5







correct!


3.
a)
Solve
the
equation.

 12
–
6z
=
10
–
5z


4.
a)
Solve
the
equation.

 6p
–
12
=
‐4p
+
18
 
 .
 
 
 
 
 
 
 Answer_________.








b)
Check
your
solution.



 
 
 
 
 
 Answer:

_______

.








b)
Check
your
solution.
 
 



 



 


5.

a)
Solve
the
equation.

 5h
–
7
=
2h
+
2


6.

a)
Solve
the
equation.

 10x
–
4
=
5x
+
11
 
 .
 
 
 
 
 
 
 Answer:

_______

.








b)
Check
your
solution.



 
 
 
 
 
 Answer:

_______

.








b)
Check
your
solution.



 
 



 



3.5
Using
the
Distributive
Property
Homework
 1.

a)
Solve
the
equation.

 
4n
–
2
+
7n
=20
 combine
like
terms











11n
–
2
=
20
 
























































+2
|
+2
 





















































11n
=
22
 





















































11






11
 


























































n
=
2


Name:
___________________________________
 2.

a)
Solve
the
equation.

 
3(r
­
4)
=
9


distribute






















3*r
–
3*4
=
9
 












































3r
–
12
=
9
 


















































+12
|+12
 




















































3r
=
21
 




















































3







3
 Answer:

n
=
2

.
 






















































r
=
7








b)
Check
your
solution.
 4n
–
2
+
7n
=
20
 4(2)
–
2
+
7(2)
=
20
 8
–
2
+14
=
20
 6
+
14
=
20
 














































20
=
20





correct!


3.
a)
Solve
the
equation.

 9y
–
8
+
4y
=
7y
+
16


Answer:

r
=
7

.
 





b)
Check
your
solution.
 3(r
–
4)
=
9
 3(7
–
4)
=
9
 3(3)
=
9
 
















































9
=
9







correct



4.
a)
Solve
the
equation.

 

4
*




























*
4
 2(x
+
1)
=
3x
‐
3





 
 
 



.
 



 Answer_________.
 





b)
Check
your
solution.


Answer:

_______

.
 





b)
Check
your
solution.
 
 



 



 
 5.

a)
Solve
the
equation.

 6x
‐
32
–
11x
=
x
‐
8


6.

a)
Solve
the
equation.

 4y
+
2
=
3(6
–
4y)
 
 .
 
 


Answer:

_______

.



 
 Answer:

_______

.








b)
Check
your
solution.








b)
Check
your
solution.



 
 


7.
a)
Solve
the
equation.

 ‐m
+
12
=
5m
‐4
–
8m


8.
a)
Solve
the
equation.

 2m
–
4
=
2(6
–
7m)
 
 .
 
 


Answer:

_______

.
 





b)
Check
your
solution.



 
 Answer:

_______

.








b)
Check
your
solution.



 
 



 



Name:
___________________________________
 3.6
Using
Formulas
and
Literal
Equations
Homework
 1.

Solve
the
formula
T
+
M
=
R,
for
T.

 2.
Solve
the
formula
T
+
M
=
R,
for
M.

 
 
 T
+
M
=
R
 T
+
M
=
R
 













































‐M
|‐M
 






































‐T









|‐T
 















































T
=
R
‐
M
 















































M
=
R
‐
T
 
 
 Answer:__T
=
R
‐
M.


3.
Solve
the
formula
a
+
b
=
c,
for
a.

 
 
 
 
 



 
 Answer:__M
=
R
‐
T



 4.
Solve
the
formula
a
+
b
=
c,
for
b.

 
 
 
 
 



 Answer:
___________



 5.
Solve
the
formula
c
=
a
‐
b,
for
b.

 
 
 
 



 Answer:
___________
 6.
Solve
the
formula
c
=
a
‐
b,
for
a.

 
 
 
 



 
 Answer:
___________
 7.
Solve
the
formula
A=l*w,
for
l.

 
 
 
 



 
 Answer:
___________
 8.
Solve
the
formula
A=l*w,
for
w.

 
 T
+
M
=
R
 






































‐T









|‐T
 















































M
=
R
‐
T



 
 Answer:
___________
 9.
Solve
the
formula
m
*
a
=
q,
for
m.

 
 
 
 
 



 



 
 Answer:
___________



 
 Answer:
___________
 10.
Solve
the
formula
m
*
a
=
q,
for
a.

 
 
 
 
 



 
 Answer:
___________



Chapter 3 Homework Algebra 1