Warm up
Find an expression for the area of the
following figures:
a)
b)
Challenge
Find an expression for the area of this Lshaped room in a house.
 x  26 x
2
Challenge
Find an expression for the volume of the
cylinder:
 ( x  x  8 x  12)
3
2
Polynomial Ops
Q1 of 20
Subtract:
(3 x  5 x  7)  (2 x  8 x  9)
2
2
Polynomial Ops
Q2 of 20
Multiply:
( x  4)( x  2)
Polynomial Ops
Q3 of 20
Multiply:
( x  9)( x  9)
Polynomial Ops
Q4 of 20
Multiply:
(2 x  5)( x  3)
Polynomial Ops
Q5 of 20
Multiply:
(3x  4)(3 x  4)
Polynomial Ops
Q6 of 20
Multiply:
2 x (3 x  5 x  2)
2
2
Polynomial Ops
Q7 of 20
Multiply:
3x( x  2)( x  6)
Polynomial Ops
Q8 of 20
Multiply:
( x  6)
2
Polynomial Ops
Find the Perimeter:
Q9 of 20
Polynomial Ops
Q10 of 20
Write an expression for the area:
Polynomial Ops
Q11 of 20
Write an expression for the volume of the
cube:
Polynomial Ops
Q12 of 20
4 corners are to be cut from a piece of
wood as shown.
Write an expression for the remaining
area.
Polynomial Ops
Q13 of 20
Write an expression for the total area of
the youth club below.
Polynomial Ops
Q14 of 20
Write an expression for the volume of the
box:
Polynomial Ops
Q15 of 20
Write an expression for the volume of the
gift box:
Polynomial Ops
Find the area of the label.
Q16 of 20
Polynomial Ops
Q17 of 20
Find the area of the envelope not covered
by the label.
Polynomial Ops
Q18 of 20
A rectangular photograph is mounted on a square
piece of cardboard whose sides have length x. The
border that surrounds the photo is 3 in. on each side
and 4 in. on both top and bottom.
Write an expression for the area of the photograph.
Polynomial Ops
Q19 of 20
A rectangular garden has a walk around it of width x.
The garden is 20 ft by 15 ft.
Find an expression representing the combined area A
of the garden and walk.
Polynomial Ops
Find the area of the triangle.
Q20 of 20
Homework
Area and Volume
Problems Worksheet
MATHO Answers
1. x2 + 13x - 16
3. x2 – 81
5. 9x2 + 24x + 16
7. 3x3 + 12x2 – 36x
9. 50x + 11
11. x3 + 3x2 + 3x + 1
13. x2 + 3x + 2
15. 2x3 + 2x2 – 24x
17. 23x2 + 37x + 8
19. 4x2 + 70x + 300
2. x2 + 2x - 8
4. 2x2 - x - 15
6. 6x4 - 10x3 + 4x2
8. x2 + 12x + 36
10. 2x2 + 12x + 18
12. 432 – 4x2
14. x3 + 2x2 – 3x
16. x2 + 7x + 12
18. x2 - 14x + 48
20. x2 – 9
Extra Answers: x2 +36, x2 + x – 81 x2 – 3x + 2, x2 +3, x2 – 7x + 12