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# Algebra Questions

Question #1/25

Simplify SQRT (125/45)

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:

Assume that all variables represent positive real numbers.

Question #6/25
Simplify.

Assume that all variables represent positive real numbers.
Question #7/25
Multiply.

Question #8/25
Rationalize the denominator and simplify.

Question #9/25
Write in simplified radical form by rationalizing the denominator.

Question #10/25
Solve for u, where u is a real number.

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

Question #11/25
Solve for z, where z is a real number.

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

Question #12/25
Solve for t, where t is a real number.

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

Question #14/25
Simplify.

Question #15/25
Compute the following:

Question #16/25
Write the following in simplified radical form.

Question #17/25
Write the following expression in simplified radical form.

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

Question #18/25
Find the roots of the quadratic equation:

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

Question #19/25
Solve:

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

Question #20/25
Solve the equation for z.

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

Question #21/25
Solve , where x is a real number.

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

Question #22/25
Solve , where y is a real number.

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.

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.