Precalculus Sem 1 Exam (2024, 2025)

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CCSS.HSA-REI.B.4B

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Find the point based on the parametric equations: t = 2, x = 3t - 4, y = 2t + 5

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(2, 9)

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A rectangular box can be constructed from a 110 x 80 inch sheet of cardboard by cutting squares of equal size from each corner and folding up the flaps of height 'x'. If a volume of 30,000 cubic inches is needed, what 'x' value produces the desired volume for a tall box?

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x = 30

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CCSS.HSF.IF.A.2

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x = 9 or -6

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CCSS.HSA.REI.A.2

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CCSS.HSA-REI.B.4B

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Define a parametric equation.

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A parametric equation expresses the coordinates of the points of a curve as functions of a variable, often denoted as 't'.

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What is the volume formula for a rectangular box?

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Volume = length × width × height.

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CCSS.5.MD.C.5B

CCSS.6.G.A.2

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What is the discriminant of a quadratic equation and what does it indicate?

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CCSS.HSA-REI.B.4B