61.
Solve the equation 2(4
�
−3)=202(4
x
−3)=20
.
Answer
: �
=4
x
=4
.
62.
Calculate the value of �
y
in the equation 3
�
2−4=10
23
y
−4=10
.
Answer
: �
=14
y
=14
.
63.
Find the volume of a rectangular prism with length 66
units, width 44
units, and height 55
units.
Answer
: Volume = length×width×height=6×4×5=120length×width×height=6×4×5=120
cubic units.
64.
Determine the value of �
z
if 4
�
+3=234
z
+3=23
.
Answer
: �
=5
z
=5
.
65.
Solve the equation 5
�
3+2=12
35
x
+2=12
.
Answer
: �
=6
x
=6
.
66.
Evaluate the expression: 82−6×48
2
−6×4
.
Answer
: 82−6×4=64−24=408
2
−6×4=64−24=40
.
67.
Calculate the area of a circle with a radius of 77
units (use �
=3.14
π
=3.14
).
Answer
: Area = �
×
�
2=3.14×72=153.86
π
×
r
2
=3.14×7
2
=153.86
square
units.
68.
Solve the inequality: 2
�
−5<92
x
−5<9
.
Answer
: �
<7
x
<7
.
69.
Find the slope of the line parallel to �
=12
�
−3
y
=
21
x
−3
.
Answer
: The slope of a line parallel to this line is also 12
21
.
70.
Solve for �
y
in the equation 3
�
−2=133
y
−2=13
.
Answer
: �
=5
y
=5
.