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(08.02 MC) Rewrite x2 − 6x + 7 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.

(06.04 MC) The function f(x) = x + 3 represents the length of a rectangle. The function g(x) = 12x − 5 represents the width of the rectangle. Use (f ⋅ g)(3) to determine the area of the rectangle.

(06.04 MC) The function f(x) = 40x + 8 represents the amount of money Makayla earns reupholstering furniture. The function g(x) = 3x − 4 represents her upfront costs. Find (f – g)(4) to determine how much profit she will make from four pieces of furniture.

(08.06 LC) The graphs of f(x) and g(x) are shown below: What are the solutions to the equation f(x) = g(x)?

(08.03 MC) The steps to derive the quadratic formula are shown below: Step 1 ax2 + bx + c = 0 Step 2 ax2 + bx = − c Step 3 x2 + Step 4 x2 + Step 5 x2 + Step 6 Provide the next step to derive the quadratic formula.

(06.04 MC) Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign?

(06.02 MC) The function f(x) represents the time it takes an airplane to travel east. The function g(x) represents the time it takes an airplane to travel west. Given f(x) = 4x + 13 and g(x) = 10x − 2, solve for (f + g)(x) to determine the total roundtrip time.

(06.04 MC) The function f(x) = 60x + 4 represents the amount of money Mike earns making custom tables. The function g(x) = 2x − 4 represents his upfront costs. Find (f – g)(4) to determine how much profit he will make from four tables.

(06.04 MC) Find the product of (x − 7)2 and explain how it demonstrates the closure property of multiplication.

(5.03, 6.02, MC) Read the following speech excerpt and then select the correct answer to the question below: President George W. Bush’s speech to the troops on the USS Abraham LincolnThe enemies of freedom are not idle, and neither are we. Which answer best describes Bush’s point of view as presented in this excerpt? (3 points)