# Algebra Questions

Question #1/25

Simplify SQRT (125/45)

Be sure to write your answer in lowest terms.

Question #2/25

Rewrite the following in simplified radical form.

SQRT (54)

Question #3/25

Rewrite the following in simplified radical form.

SQRT (75x^6)

Assume that all variables represent positive real numbers.

Question #4/25

Write the following expression in simplified radical form.

SQRT (54y^5z^6)

Assume that all variables represent positive real numbers.

Question #5/25

Simplify the following expression as much as possible:

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Assume that all variables represent positive real numbers.

Question #6/25

Simplify.

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Assume that all variables represent positive real numbers.

Question #7/25

Multiply.

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Simplify your answer as much as possible.

Question #8/25

Rationalize the denominator and simplify.

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Question #9/25

Write in simplified radical form by rationalizing the denominator.

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Question #10/25

Solve for u, where u is a real number.

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(If there is more than one solution, separate them with commas.)

Question #11/25

Solve for z, where z is a real number.

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(If there is more than one solution, separate them with commas.)

Question #12/25

Solve for t, where t is a real number.

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(If there is more than one solution, separate them with commas.)

Question #14/25

Simplify.

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Question #15/25

Compute the following:

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Question #16/25

Write the following in simplified radical form.

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Question #17/25

Write the following expression in simplified radical form.

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Assume that all of the variables in the expression represent positive real numbers.

Question #18/25

Find the roots of the quadratic equation:

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.

(If there is more than one root, separate them with commas.)

Question #19/25

Solve:

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.

(If there is more than one solution, separate them with commas.)

Question #20/25

Solve the equation for z.

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(If there is more than one solution, separate them with commas.)

Question #21/25

Solve , where x is a real number.

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Simplify your answer as much as possible.

If there is more than one solution, separate them with commas.

Question #22/25

Solve , where y is a real number.

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Simplify your answer as much as possible.

If there is more than one solution, separate them with commas.

Question #23/25

Compute the value of the discriminant and give the number of real solutions to the quadratic equation.

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Discriminant ?

Number of real solution ?

Question #24/25

Use the quadratic formula to solve for x.

(If there is more than one solution, separate them with commas.)

Question #25/25

When a ball is thrown, its height in feet h after t seconds is given by the equation h = vt - 16t^2

,

where v is the initial upwards velocity in feet per second. If v = 35 feet per second, find all values of t for which h = 18 feet. Do not round any intermediate steps. Round your answer to 2 decimal places.

(If there is more than one answer, enter additional answers with the button that says "or".)

Please see the attachment for picture.

Please view attachment. Thanks

#### Solution Summary

The solution provides step by step method for solving and simplifying algebraic and rational expressions and radical forms.