The "FOIL" Method

The "FOIL" Method

by Robert Dohnal

Multiple Choice

(x +2)(x + 3)

• x² + 5x + 6
• x² + x + 6
• x² + 5x + 5
• x² + 6x + 6

Multiple Choice

(x - 5)(x + 1)

• x² - 4x - 5
• x² + 6x - 5
• x² - 5x - 4
• x² - 4x - 4

Multiple Choice

(2x + 3)(3x + 4)

• 6x² + 17x + 7
• 6x² + 17x + 12
• 6x² + 8x + 12
• 6x² + 9x + 12

Multiple Choice

(4x + 3)(x + 2)

• x² + 11x + 6
• 4x² + 8x + 6
• 4x² + 3x + 6
• 4x² + 11x + 6

Multiple Choice

(3x + 4)(2x + 2)

• 6x² + 14x + 6
• 6x² + 14x + 8
• 5x² + 14x + 6
• 5x² + 14x + 8

Multiple Choice

(6y - 5)(9y + 4)

• 27y² - 21y - 20
• 36y² - 21y - 20
• 45y² - 21y - 20
• 54y² - 21y - 20

Multiple Choice

(2h + 8)(9h + 4)

• 12h⁸ + 18h + 32
• 18h² + 80h + 32
• 16h² + 60h + 38
• 24h² + h + 32

Multiple Choice

What does FOIL stand for?

• Failing Only in Latin

• Farming Only in Lakewood

• First Outer Inner Last

• Fresh Only in Lakes

Multiple Choice

What does it mean for two terms to be considered "like terms"

• They have the same number

• They have the same variable

• They have the same variable and exponent.

Multiple Choice

(4x + 7)(3x + 5)

• 12x + 41 + 35
• 12x² + 20x + 35
• 12x² + 41x + 35
• 12x + 20 + 35

Multiple Select

Which represents the First product using the FOIL method?

• $$\left(5\right)\left(7\right)=35$$

• $$\left(5\right)\left(2z\right)=10z$$

• $$\left(3z\right)\left(2z\right)=6z^2$$

• $$\left(3z\right)\left(7\right)=21z$$

Multiple Select

Which represents the Outer product using the FOIL method?

• $$\left(5\right)\left(7\right)=35$$

• $$\left(5\right)\left(2z\right)=10z$$

• $$\left(3z\right)\left(2z\right)=6z^2$$

• $$\left(3z\right)\left(7\right)=21z$$

Multiple Select

Which represents the Inner product using the FOIL method?

• $$\left(5\right)\left(7\right)=35$$

• $$\left(5\right)\left(2z\right)=10z$$

• $$\left(3z\right)\left(2z\right)=6z^2$$

• $$\left(3z\right)\left(7\right)=21z$$

Multiple Select

Which represents the Last product using the FOIL method?

• $$\left(5\right)\left(7\right)=35$$

• $$\left(5\right)\left(2z\right)=10z$$

• $$\left(3z\right)\left(2z\right)=6z^2$$

• $$\left(3z\right)\left(7\right)=21z$$

Multiple Choice

Use FOIL to solve: (p + 9)(4p + 2)

• 9p x 4p + 2

• p to the 5th power minus seven

• -18p

• 4p² + 38p + 18