Free Printable G10MIAP Ch3.1.1 Factors and Products- Area

1.

Which figure can be represented by (x + 1)(x + 3)?

a)

b)

c)

d)

2.

Which figure can be represented by (x + 1)(x + 4)?

a)

b)

c)

3.

Which figure can be represented by x² +5x + 4?

a)

b)

c)

4.

Which figure is represented by the expression x²+6x + 8?

a)

b)

c)

d)

5.

Select the two expressions that represent the area of the square.

a)

x² + 6x + 6

b)

x² + 5x + 6

c)

(x + 3)(x + 2)

d)

(x + 2)(x + 3)

6.

Select each expression that represent the area of the square.

a)

(x + 2)(x + 2)

b)

2x²

c)

(x + 2)²

d)

4x² + 4x +x

e)

x²+ 4x + 4

7.

Multiply:
(r + 7)(r − 7)

a)

r ²− 49

b)

r ²+ 14

c)

r ² − 7r + 49

8.

Simplify
(p − 8)²
Hint: (p − 8)² = (p − 8)(p − 8)

a)

p ² − 16p − 64

b)

p ² + 16p + 64

c)

p ² − 16p − 8

d)

p ² − 16p + 64

9.

Find the product:
(x + 5)(x - 4)

a)

x² + 9x + 20

b)

x² + 9x - 20

c)

x² + 1x - 20

d)

x² - 1x - 20

10.

Multiply:
(x - 1)(x - 8)

a)

x² + 9x + 8

b)

x²+ 9x - 8

c)

x² - 9x - 8

d)

x² - 9x + 8

11.

Which expression represents the area of the rectangle?

a)

2x² + 3x

b)

2x² + 3

c)

3x + 3

d)

4x² + 9

12.

Determine the area of the square if each side is $x+6$ in length.

a)

$x+12$

b)

$x^2+36$

c)

$x^2+12x+36$

d)

$2x+12$

13.

Given the Area of the square, determine the length of the sides.

a)

$x+3$

b)

$x+7$

c)

$x+9$

d)

$x+14$

14.

Given the Area of the rectangle, determine the length of each side.

a)

$\left(x+3\right)\left(x+7\right)$

b)

$\left(x+5\right)\left(x+5\right)$

c)

$\left(x+14\right)\left(x+7\right)$

d)

$\left(x-3\right)\left(x-7\right)$

15.

Determine the area of the given rectangle.

a)

$x^2+2x-15$

b)

$x^2-2x+15$

c)

$x^2+8x+15$

d)

$x+2$

G10MIAP Ch3.1.1 Factors and Products- Area

Total questions: 15

Worksheet time: 4hrs 45mins

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