Multiplying Two Binomials with Applications

Write the expanded (general) form of the product (x+3)(x+6).

• x²+18x+9

• x²+9x+18

• x²+18x+18

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Multiply binomials using the area model.

(2x +1) (x - 3)

• 2x³ -4x +3

• 2x + 5x -3

• 2x² -5x -3

• 2x -6x + 2

The length of a square is x + 2 units.  Find the area.

• 4x + 8 units squared
• x² + 4x + 4 units squared
• x² + 4 units squared
• Not enough information

The length of a rectangle is x + 2 units and the width is 3x + 7
 units. Find the area.

• 3x² + 9x + 14 square units
• 3x² + 13x + 14 square units
• 4x + 9 square units
• 8x + 18 square units

Jim used the box method to solve  $\left(3x-1\right)\left(x+4\right)$ Which of the following will Jim get if he simplifies correctly?  

•  $3x^2+11x-4$  

•  $3x^2+13x-4$  

•  $3x^2+11x+4$  

•  $3x^2-11x+4$  

• 3x² + 9x + 14 square units
• 3x² + 11x + 4 square units

• 4x + 9 square units
• 3x² + 14 square units

• 9x - 16 units squared

• 9x² - 24x + 16 units squared

• 3x² + 16 units squared

• 9x² - 12x + 16 units squared

• (18x² - 100) cm

• (81x² -180x - 100) cm

• (81x² - 100) cm²

• (81x² + 100) cm²

Find the equivalent expression of (x-9)(x+1).

• 2x+8