FOIL AND BOX METHOD

Multiple Choice

According to exponent rules, when we multiply terms with the same base we _______ the exponents.

• Multiply

• Add

• Divide

• Subtract

Multiple Choice

Simplify:

$$5\left(3x+2\right)$$  

• $$3x+10$$

• $$15x+10$$  

• $$15x-10$$  

• $$3x-10$$  

​Box Method

​Box Method (another example)

Multiple Choice

(x +2)(x + 3)

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

Multiple Choice

Multiply and Simplify.

$$\left(x+3\right)\left(x-5\right)$$  

• $$x^2-2x-15$$  

• $$x^2+3x-15$$  

• $$x^2-15$$  

• $$x^2+15$$  

Multiple Choice

(x + 3)(x + 7)

• x² + 10x + 21
• x² + 21
• x² + 4x + 21
• x² − 10x + 21

Multiple Choice

(x + 5)(x + 4)

• x² + x + 20
• x² + 20x + 9
• x² + 9x + 20
• x² - 9x + 54

Multiple Choice

(x - 5)(x + 1)

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

Multiple Choice

(x + 7)(x + 9)

• x² + 63x + 16
• x² + 16x + 63
• x² + 79
• x² + 16x + 2

Multiple Choice

(x - 3)(x +10)

• x² - 7x + 13
• x² - 6x - 30
• x² + 7x - 30
• x² + 13x + 30

Multiple Choice

(2x - 1)(x + 2)

• 2x² + 3x - 2
• 2x² - 5x - 2
• 2x² + 3x + 2
• 2x² - 5x + 2

Multiple Choice

Multiply and Simplify.

$$\left(3x+2\right)\left(2x-7\right)$$  

• $$6x^2-14$$  

• $$5x^2-5$$  

• $$6x^2-17x-14$$  

• $$6x^2+25x-14$$  

Multiple Choice

Multiply and Simplify.

$$\left(4x+1\right)\left(4x-1\right)$$  

• $$16x^2-1$$  

• $$8x^2-1$$  

• $$16x^2+1$$  

• $$8x^2+1$$  

Multiple Choice

(3x-1)(5x+2)

• 15x²+1x-2

• 8x²+1x-2

• 15x²-1x+2

• 3x²+1x-3