Frogs, Fleas, and Painted Cubes: Investigation 3

Factor:  x² - 2x - 24

• (x + 6)(x - 4)
• (x + 4)(x - 6)
• (x - 4)(x - 6))
• (x - 3)(x + 8)

Which quadratic expression represents the pattern shown?

• x² + 3x + 4
• x² + 2x + 2 
• x² + 4x + 3 
• x² + 4x + 5 

What is another way to algebraically represent the pattern shown?

• x² + 2x
• (x + 1)² + 2(x+1)
• (x + 1)² + x+1
• x² + 2(x + 4)

Read the word problem below and determine which function is a correct representation.
A machine salesperson earns a base salary of $40,000 plus a commission of $300 for every machine he sells. Write an equation that shows the total amount of income the salesperson earns, if he sells x machines in a year.

• Linear
• Quadratic
• Exponential
• Inverse Variation

Factor:  6x² + 9x

• (6x + 1)(x + 3)
• (3x + 1)(2x + 3)
• 3x(2x + 3)
• 6x(x + 3)

Given the chart, which function is represented?
X             Y
-3             0.015625
-2             0.0625
-1             0.25
0               1
1                4
2                16
3                64

• Linear 
• Quadratic
• Exponential
• Inverse Variation

This table represents what kind of function?

• Linear
• Exponential Growth
• Exponential Decay
• Quadratic

Factor:  x² + 29x + 100

• (x + 5)(x + 20)
• (x + 4)(x + 25)
• (x + 2)(x + 50)
• (x + 10)(x + 10)

Which quadratic expression represents the total number of tiles for each figure?

• x² + 2x + 2
• x² + 3x + 1
• x² + x + 2
• x² + 2x + 3

What is another way to algebraically represent the pattern shown?

• (x)(x-2) - 2 
• (x)(x+3) + 3
• (x)(x+2) + 2
• (x)(x+1) + 4