Polynomials, Rational Expressions And Operating With Radicals Worksheet Page 18
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188. Express the ratio of the area of the larger circle to the area of the smaller circle in
simplest radical form.
9. Simplify each of the following:
3
3
3
3
a)
16
b)
32
c)
54
d)
81
10. The diagram shows a trapezoid ABCD divided into a rhombus ABCE and isosceles
triangle ADE.
a) Write an expression for the area of the triangle in terms of x.
b) Write an expression for the area of the rhombus in terms of x.
c) Add and simplify part a) and b)
d) Write and simplify an expression that represents the longer
base of the trapezoid in terms of x.
e) Write a simplified formula for the area of the trapezoid in terms of x.
Answers:
3
5
x
x
x
x (
4
)(
x
) 1
2
+
−
x
5
x
6
x ,
0
−
+
1.
,
x
0
2.
≥
3.
4.
=
≥
x ,
1
≥
2
5
x
4
6
6
x
+
5
x
15
5.
x
x (
) 2
6.
7. a) 100 b) 144
8.
97 +
56
3
+
2
3
3
3
3
9. a)
2
2
b)
2
4
c)
3
2
d)
3
3
4 −
x
1
2 (
x
1
)(
x
) 3
x (
1
)(
x
) 3
3
2 (
x
1
)(
x
) 3
3
2 (
x
1
)(
x
) 3
+
−
−
−
−
−
−
−
10. a)
b)
c)
d)
e)
16
4
16
4
16
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