Alg2 Spring Final Exam U4567v2 2025(5/20/2025)

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1

Divide the rational expression.

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Simplify the rational expression.

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Add the rational Expressions

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Solve the Rational Equation for x

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Find the EXACT value for tan (A)

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Convert Degrees to Radians
120°

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Convert Degrees to Radians
300°

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Convert Radians to Degrees

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Convert Radians to Degrees

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Determine the EXACT value

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Determine the EXACT value

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Determine the EXACT value

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Determine the reference angle for the following angles. Express your answers in RADIANS.

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Determine the reference angle for the following angles. Express your answers in RADIANS.

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Determine the reference angle for the following angles. Express your answers in RADIANS.

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Evaluate the trigonometric expressions. Express your answer as a fraction or decimal.

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Evaluate the trigonometric expression. Express your answer is Exact form.

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For what value of a is the determinant of
\begin{bmatrix} 3 & 2 \\ a & 7 \end{bmatrix} equal to 5?

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You are stenciling mugs to sell at a fair. It takes you 1 hour to stencil a small coffee mug and 2 hours to stencil a large travel mug. You make a profit of $10 for a small mug and $15 for a large mug. You have no more than 24 hours available to stencil and want at least 18 mugs to sell. How many of each mug should you stencil to maximize your profit?
Your Solution:
To maximize profit, _______  small mugs and _______ large mugs should be stenciled.

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1

The height y  (in feet) of a javelin t seconds after it is thrown can be modeled by the function


Find the maximum height of Javelin in feet and how long the javelin takes to hit the ground in seconds.
Your solution - The maximum height of the javelin is _______ feet and the time it takes to hit the ground is _______ seconds.

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Subtract. Write the answer in standard form.

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The graph represents the graph of a quadratic equation. How many imaginary zeros does it have?

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Solve
using the Quadratic Formula.

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1

You have a truck with two gas tanks. The volume of the larger tank is
in3 and the volume of the smaller
tank is
in3 . Find a single expression that represents the capacity of both gas tanks combined.

Divide the rational expression.

Simplify the rational expression.

Add the rational Expressions

Solve the Rational Equation for x

Find the EXACT value for tan (A)

Convert Degrees to Radians120°

Convert Degrees to Radians300°

Convert Radians to Degrees

Convert Radians to Degrees

Determine the EXACT value

Determine the EXACT value

Determine the EXACT value

Determine the reference angle for the following angles. Express your answers in RADIANS.

Determine the reference angle for the following angles. Express your answers in RADIANS.

Determine the reference angle for the following angles. Express your answers in RADIANS.

Evaluate the trigonometric expressions. Express your answer as a fraction or decimal.

Evaluate the trigonometric expression. Express your answer is Exact form.

For what value of a is the determinant of \begin{bmatrix} 3 & 2 \\ a & 7 \end{bmatrix} equal to 5?

Subtract. Write the answer in standard form.

The graph represents the graph of a quadratic equation. How many imaginary zeros does it have?

Solve ​ using the Quadratic Formula.

You have a truck with two gas tanks. The volume of the larger tank is in3 and the volume of the smallertank is in3 . Find a single expression that represents the capacity of both gas tanks combined.

Convert Degrees to Radians
120°

Convert Degrees to Radians
300°

For what value of a is the determinant of
\begin{bmatrix} 3 & 2 \\ a & 7 \end{bmatrix} equal to 5?

Solve
using the Quadratic Formula.

You have a truck with two gas tanks. The volume of the larger tank is
in3 and the volume of the smaller
tank is
in3 . Find a single expression that represents the capacity of both gas tanks combined.