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Page 1
1.
Solve: 4.5
x
= 9
a.
1
2
b.
2
c.
1
5
d.
5
Solution:
4.5
x
= 9
[Original equation.]
4
.
5
x
4
.
5
=
9
4
.
5
[Divide each side by 4.5.]
x
= 2
[Simplify.]
Correct answer : (2)
2.
Solve: 75
v
= 15
a.
1
5
b.
75
c.
5
d.
15
Solution:
75
v
= 15
[Original equation.]
75v
/
75
=
15
/
75
[Divide each side by 75.]
v
=
1
/
5
[Simplify.]
Correct answer : (1)
3.
Solve:
1
1
2
x
= 6
a.
4
b.
12
c.
- 9
d.
9
Solution:
1
1
/
2
x
= 6
[Original equation.]
3
2
3
2
x
=
6
3
2
[Divide each side by
3
/
2
.]
2
/
3
×
3
/
2
x
=
2
/
3
× 6
x
= 4
[Simplify.]
Correct answer : (1)
4.
Solve:
- 8
x
= 4.4
a.
- 0.55
b.
5.5
c.
-5
d.
0.55
Solution:
- 8
x
= 4.4
[Original equation.]
-
8
x
8
= -
4.4
/
8
[Divide each side by 8.]
x
= - 0.55
[Simplify.]
Correct answer : (1)
5.
Solve:
y
-
3
.
5
= - 7
a.
7
3.5
b.
7
-3.5
c.
24.5
d.
2.45
Solution:
y
-
3
.
5
= - 7
[Original equation.]
- 3.5 ×
y
-
3
.
5
= - 3.5 × - 7
[Multiply each side by
- 3.5
.]
y
= 24.5
[Simplify.]
Correct answer : (3)
6.
Solve the equation
x
3
=
4
2
3
to find the value of the variable
x
.
a.
4
2
3
b.
14
c.
14
9
d.
2
Solution:
x
/
3
=
4
2
/
3
[Original equation.]
x
/
3
=
14
/
3
[Simplify
4
2
/
3
.]
(3) ×
x
/
3
= (3) ×
14
/
3
[Multiply each side by 3.]
x
= 14
[Simplify.]
The value of the variable
x
in the equation is 14.
Correct answer : (2)
7.
Solve the equation
m
9
=
5
63
.
a.
5
567
b.
45
7
c.
5
7
d.
7
5
Solution:
m
9
=
5
6
3
[Original equation.]
(9) ×
m
9
=
5
6
3
× 9
[Multiply each side by 9.]
m
=
5
7
[Simplify.]
Correct answer : (3)
8.
Solve:
-
a
4
= 2
a.
6
b.
- 8
c.
7
d.
- 11
Solution:
-
a
4
= 2
[Original equation.]
(-4) × -
a
4
= (- 4) × (2)
[Multiply each side by - 4.]
a
= - 8
[Simplify.]
Correct answer : (2)
9.
Solve:
z
-
4
= - 7
a.
30
b.
- 30
c.
- 28
d.
28
Solution:
z
-4
= - 7
[Original equation.]
z
-
4
× - 4 = - 7 × - 4
[Multiply each side by - 4.]
z = 28
[Simplify.]
Correct answer : (4)
10.
500 gallons of water is needed to wet one-fourth area of a park. How many gallons of water is required to water the entire park?
a.
2000
b.
1900
c.
2100
d.
1800
Solution:
Let
w
be the gallons of water required to wet the entire park.
w
/4 = 500
[Write an equation.]
(
w
/4) x 4 = 500 x 4
[Multiply each side by 4.]
w
= 2000
[Simplify.]
2000 gallons of water is required to wet the entire park.
Correct answer : (1)
1
2
3
4
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