Warm up Find an expression for the area of the following figures: a) b)

Warm upFind an expression for the area of the following figures:

a) b)

ChallengeFind an expression for the area of this L-shaped room in a house.

2 26x x

ChallengeFind an expression for the volume of the cylinder:

3 2( 8 12)x x x

Polynomial Ops Q1 of 20

Subtract:

2 2(3 5 7) (2 8 9)x x x x

Polynomial OpsQ2 of 20

Multiply:

( 4)( 2)x x

Polynomial OpsQ3 of 20

Multiply:

( 9)( 9)x x

Polynomial OpsQ4 of 20

Multiply:

(2 5)( 3)x x

Polynomial OpsQ5 of 20

Multiply:

(3 4)(3 4)x x

Polynomial OpsQ6 of 20

Multiply:

2 22 (3 5 2)x x x

Polynomial OpsQ7 of 20

Multiply:

3 ( 2)( 6)x x x

Polynomial OpsQ8 of 20

Multiply:

2( 6)x

Polynomial OpsQ9 of 20

Find the Perimeter:

Polynomial OpsQ10 of 20

Write an expression for the area:

Polynomial OpsQ11 of 20

Write an expression for the volume of the cube:

Polynomial OpsQ12 of 204 corners are to be cut from a piece of wood as shown.Write an expression for the remaining area.

Polynomial OpsQ13 of 20Write an expression for the total area of the youth club below.

Polynomial OpsQ14 of 20

Write an expression for the volume of the box:

Polynomial OpsQ15 of 20

Write an expression for the volume of the gift box:

Polynomial OpsQ16 of 20

Find the area of the label.

Polynomial OpsQ17 of 20

Find the area of the envelope not covered by the label.

Polynomial OpsQ18 of 20A 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 OpsQ19 of 20A 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 OpsQ20 of 20

Find the area of the triangle.

HomeworkArea and Volume

Problems Worksheet

MATHO Answers

1. x2 + 13x - 16 2. x2 + 2x - 8 3. x2 – 81 4. 2x2 - x - 155. 9x2 + 24x + 16 6. 6x4 - 10x3 + 4x2

7. 3x3 + 12x2 – 36x 8. x2 + 12x + 369. 50x + 11 10. 2x2 + 12x + 1811. x3 + 3x2 + 3x + 1 12. 432 – 4x2

13. x2 + 3x + 2 14. x3 + 2x2 – 3x15. 2x3 + 2x2 – 24x 16. x2 + 7x + 1217. 23x2 + 37x + 8 18. x2 - 14x + 4819. 4x2 + 70x + 300 20. x2 – 9

Extra Answers: x2 +36, x2 + x – 81 x2 – 3x + 2, x2 +3, x2 – 7x + 12