Topic: Algebraic Identities

Use identity to expand: (6x + 9)(6x – 9).

• 36x^2 + 81
• 36x^2 – 81
• 36x^2 + 108x – 81
• 36x^2 – 108x – 81

Expand and simplify: (12x – 6)^2.

• 144x^2 – 144x + 36
• 144x^2 – 144x – 36
• 144x^2 – 72x + 36
• 144x^2 + 144x + 36

Expand and simplify: (x + 9)^2.

• x^2 + 18x – 81
• x^2 + 9x + 81
• x^2 + 18x + 81
• x^2 – 18x + 81

Use identity to expand: (6x + 4)(6x – 4).

• 36x^2 + 16
• 36x^2 – 48x – 16
• 36x^2 + 48x – 16
• 36x^2 – 16

Expand and simplify: (3x – 6)^2.

• 9x^2 – 36x + 36
• 9x^2 + 36x + 36
• 9x^2 – 36x – 36
• 9x^2 – 18x + 36

Expand and simplify: (x + 2)^2. [Unique SSC algebra item 2]

• x^2 – 4x + 4
• x^2 + 4x – 4
• x^2 + 2x + 4
• x^2 + 4x + 4

Use identity to expand: (10x + 3)(10x – 3).

• 100x^2 – 9
• 100x^2 + 9
• 100x^2 – 60x – 9
• 100x^2 + 60x – 9

Expand and simplify: (6x – 8)^2.

• 36x^2 + 96x + 64
• 36x^2 – 96x + 64
• 36x^2 – 48x + 64
• 36x^2 – 96x – 64

Expand and simplify: (x + 6)^2.

• x^2 – 12x + 36
• x^2 + 6x + 36
• x^2 + 12x – 36
• x^2 + 12x + 36

Use identity to expand: (7x + 8)(7x – 8).

• 49x^2 – 64
• 49x^2 + 112x – 64
• 49x^2 – 112x – 64
• 49x^2 + 64

Expand and simplify: (9x – 5)^2.

• 81x^2 + 90x + 25
• 81x^2 – 90x + 25
• 81x^2 – 90x – 25
• 81x^2 – 45x + 25

Expand and simplify: (x + 10)^2. [Unique SSC algebra item 2]

• x^2 + 10x + 100
• x^2 + 20x + 100
• x^2 + 20x – 100
• x^2 – 20x + 100

Use identity to expand: (8x + 1)(8x – 1).

• 64x^2 + 16x – 1
• 64x^2 – 1
• 64x^2 – 16x – 1
• 64x^2 + 1

Expand and simplify: (9x – 8)^2.

• 81x^2 – 144x – 64
• 81x^2 – 144x + 64
• 81x^2 – 72x + 64
• 81x^2 + 144x + 64

Expand and simplify: (x + 4)^2.

• x^2 + 8x – 16
• x^2 + 8x + 16
• x^2 + 4x + 16
• x^2 – 8x + 16

Use identity to expand: (11x + 2)(11x – 2).

• 121x^2 – 44x – 4
• 121x^2 + 44x – 4
• 121x^2 – 4
• 121x^2 + 4

Expand and simplify: (2x – 5)^2.

• 4x^2 – 10x + 25
• 4x^2 + 20x + 25
• 4x^2 – 20x – 25
• 4x^2 – 20x + 25

Expand and simplify: (x + 10)^2.

• x^2 + 20x – 100
• x^2 + 20x + 100
• x^2 – 20x + 100
• x^2 + 10x + 100

Use identity to expand: (6x + 8)(6x – 8).

• 36x^2 + 64
• 36x^2 – 64
• 36x^2 + 96x – 64
• 36x^2 – 96x – 64

Expand and simplify: (6x – 7)^2. [Unique SSC algebra item 2]

• 36x^2 – 42x + 49
• 36x^2 – 84x – 49
• 36x^2 – 84x + 49
• 36x^2 + 84x + 49

Expand and simplify: (x + 7)^2.

• x^2 + 14x + 49
• x^2 – 14x + 49
• x^2 + 14x – 49
• x^2 + 7x + 49

Use identity to expand: (4x + 6)(4x – 6).

• 16x^2 – 36
• 16x^2 + 48x – 36
• 16x^2 – 48x – 36
• 16x^2 + 36