21.
Solve the equation 4(2
�
−3)=204(2
x
−3)=20
.
Answer
: �
=4
x
=4
.
22.
Calculate the value of �
y
in the equation 3
�
+8=263
y
+8=26
.
Answer
: �
=6
y
=6
.
23.
Find the area of a triangle with base 99
units and height 55
units.
Answer
: Area = 12×base×height=12×9×5=22.5
21
×base×height=
21
×9×5=22.5
square units.
24.
Determine the value of �
z
if 5
�
−7=185
z
−7=18
.
Answer
: �
=5
z
=5
.
25.
Solve the equation 2
�
3−5=7
32
x
−5=7
.
Answer
: �
=18
x
=18
.
26.
Evaluate the expression: 7×(4+2)−527×(4+2)−5
2
.
Answer
: 7×(4+2)−52=7×6−25=42−25=177×(4+2)−5
2
=7×6−25=42−25=17
.
27.
Calculate the circumference of a circle with a diameter of 1010
units (use �
=3.14
π
=3.14
).
Answer
: Circumference = �
×diameter=3.14×10=31.4
π
×diameter=3.14×10=31.4
units.
28.
Solve the inequality: 2
�
−9<52
x
−9<5
.
Answer
: �
<7
x
<7
.
29.
Find the slope-intercept form of the line passing through points (−1,3)(−1,3)
and (2,7)(2,7)
.
Answer
: Slope = 7−32−(−1)=43
2−(−1)7−3
=
34
, y-intercept �
=4−43×2=43
b
=4−
34
×2=
34
, equation: �
=43
�
+43
y
=
34
x
+
34
.
30.
Solve for �
y
in the equation 2
�
−3=132
y
−3=13
.
Answer
: �
=8
y
=8
.
