31.
Solve the equation 2(
�
+4)=182(
x
+4)=18
.
Answer
: �
=5
x
=5
.
32.
Calculate the value of �
y
in the equation 5
�
2−3=7
25
y
−3=7
.
Answer
: �
=8
y
=8
.
33.
Find the area of a trapezoid with bases 77
units and 99
units, and
height 44
units.
Answer
: Area = 12×(base1+base2)×height=12×(7+9)×4=32
21
×(base
1
+base
2
)×height=
21
×(7+9)×4=32
square units.
34.
Determine the value of �
z
if 3
�
+2=173
z
+2=17
.
Answer
: �
=5
z
=5
.
35.
Solve the equation 4
�
5+2=10
54
x
+2=10
.
Answer
: �
=8
x
=8
.
36.
Evaluate the expression: 62+3×46
2
+3×4
.
Answer
: 62+3×4=36+12=486
2
+3×4=36+12=48
.
37.
Calculate the area of a circle with a radius of 88
units (use �
=3.14
π
=3.14
).
Answer
: Area = �
×
�
2=3.14×82=200.96
π
×
r
2
=3.14×8
2
=200.96
square
units.
38.
Solve the inequality: 3
�
+7>163
x
+7>16
.
Answer
: �
>3
x
>3
.
39.
Find the equation of the line parallel to �
=2
�
+5
y
=2
x
+5
passing through the point (3,7)(3,7)
.
Answer
: The slope of the parallel line remains 22
, so the equation is �
=2
�
+1
y
=2
x
+1
.
40.
Solve for �
y
in the equation 34
�
+5=11
43
y
+5=11
.
Answer
: �
=24
y
=24
.
