02 March 2006

Homework for 2/3 march

worksheet:

Algebra 1 worksheet – special products Name______________________________

product................... sum

(x + 1)^2
= (x + 1)(x + 1)


(x + 2)^2


(x + 3)^2


(x + 4)^2

(x + 5)^2


(x + 6)^2

(x + 7)^2


(x + 8)^2


(x + 9)^2

(x + 10)^2

(x + 11)^2


(x + 12)^2


(x + a)^2

Repeat for (x - a)^2, for a from 1 to 12


product sum

(x + 1)(x – 1)

(x + 2)(x – 2)

(x + 3)(x – 3)

(x + 4)(x – 4)

(x + 5)(x – 5)

(x + 6)(x – 6)

(x + 7)(x – 7)

(x + 8)(x – 8)

(x + 9)(x – 9)

(x + 10)(x – 10)

(x + 11)(x – 11)

(x + 12)(x – 12)

(x + a)(x – a)



Problems:

Draw a rectangle for each product, and write the product as a sum.

1) (x + 9)(x + 3)
2) (x – 3)(x + 4)
3) (x – 9)(x – 4)
4) (x + 5)(x + 8)
5) (x – 11)(x + 7)
6) (x – 1)(x – 8)
7) (x + 6)(x + 6)
8) (x – 8)(x + 2)
9) (x – 11)(x + 3)
10) (x + 4)(x + 7)
11) (x – 2)(x + 8)
12) (x + 15)(2x – 2)
13) (x + 8)(x + 9)
14) (x – 9)(x + 5)
15) (x + 6)(x – 24)
16) (x + 2)(x - 3)
17) (2x – 1)(x + 2)
18) (x – 6)(x – 6)
19) (x + 5)(x + 12)
20) (6 – x)(7 + x)
21) (x – 12)(x + 3)
22) (3x + 2)(2x + 9)
23) (x – 8)(2x + 4)
24) (2x – 5)(4x – 4)
25) (6x + 2)(4x + 3)
26) (4x – 12)(x + 3)
27) (3x – 8)(5x + 4)
28) (2x + y)(2x + y)
29) (3x – 2)(2x + 3)
30) (3x – 2)(3x – 2)
31) (5x + 1)(5x – 1)
32) (3 – 2x)(2x + 3)
33) (6 – x)(6 – x)