Amazing Race Algebra-Style!

Simplify the following...

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Based on the equations, which of the following statements are TRUE?

• Equation 2 is narrower than Equation 1

• Equation 2 is wider than Equation 1

• Equation 3 is narrower than Equation 1

• ALL of the following

A garden in the shape of a rectangle is fenced in with 60 feet of fencing and is represented by the equation A = x(30 - x) where x is the width of the garden. What is the width (in feet) of the garden that has an area of 176 square feet?

The perimeter of a rectangle is 42 centimeters. The length of the rectangle can be represented by (x + 4) and its width can be represented by (2x - 7). What is the LENGTH of this rectangle in centimeter?

The height of an object at the top of a building that is 400 feet tall is represented by the equation h(t) = 400 - 16t² where h represents the height and t represents the time the object is in the air. If the object is dropped, how many seconds will it take the object to reach the ground?

Which expression is equivalent to the following?

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What is the discriminant for the equation?

What are the roots of x² + 8x - 20 = 0

• x = -5

  x = 4

• x = -10

  x = 2

• x = 4

  x = 8

• x = 10

  x = -5

The exponential function f(t) = 500(1.025)^t represents an investment of $500 at a rate of 2.5% for t years. What would the domain and range be for this function?

• Domain: All real numbers

  Range: All real numbers

• Domain: All real numbers

  Range: f(t) > 500

• Domain: t ≥ 500

  Range: f(t) ≥ 0

• Domain: t ≥ 0

  Range: f(t) ≥ 500

Simplify...

• 2x² - 3x + 2

• 2x² - 3x

• x - 3

• 2x² - 3x + 6