Algebra Worksheets - Complete Set With Answers Page 36

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Applications with Polynomials
Solve.
1. The length of a rectangle is 3x. The
2. The width of a rectangle is x - 2. The
width is 3x - 1. Find the area of the
length is 3x + 2. Find the area of the
rectangle in terms of the variable x.
rectangle in terms of the variable x.
3. The length of a rectangle is 3x + 1.
4. The width of a rectangle is x + 7. The
The width is 2x - 1. Find the area of the
length is 4x + 3. Find the area of the
rectangle in terms of the variable x.
rectangle in terms of the variable x.
5. The length of a side of a square is
6. The length of a side of a square is x - 8.
2
2
x + 3. Use the equation A = s
where s
Use the equation A = s
. where s is the
is the length of a side of a square, to
length of the side of a square, to find the
find the area of the square in terms of
area of the square in terms of the variable
the variable x.
x.
7. The length of a side of a square is
8. The length of a side of a square is 3x - 4.
2x + 1. Find the area of the square m
Find the area of the square in terms of the
terms of the variable x.
variable x
9. The radius of a circle is x + 4. Use the
10. The radius of a circle is x - 3. Use the
2
2
equation A = πr
where r is the radius, to
equation A = πr
, where r is the radius, to
find the area of the circle in terms of the
find the area of the circle in terms of the
variable x.
variable x.
11. The radius of a circle is x + 6. Find
12. The radius of a circle is 2x + 1. Find the
the area of the circle in terms of the
area of the circle in terms of the variable x.
variable x.
32

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