Question 1

Compute the product and simplify the result.

Accepted Answer

The answer of Compute the product and simplify the result....

Question 2

Simplify the expression by rationalizing the denominator. State results in exact form.

Accepted Answer

We need to rationalize the denominator, which means we need to eliminate the radical from it. To do this, we can multiply the numerator and denominator by the conjugate of the denominator, which is (5-2√2):

$\frac{11}{5+\sqrt{18}} \cdot \frac{5-\sqrt{18}}{5-\sqrt{18}} = \frac{11(5-\sqrt{18})}{25-18} = \frac{11(5-\sqrt{18})}{7}$

This is the simplified expression in exact form. The corresponding choice is (C).

Question 3

Simplify and subtract (if possible).

Accepted Answer

The answer of Simplify and subtract (if possible). 
...

Question 4

Compute the product and simplify the result.

Accepted Answer

The answer of Compute the product and simplify the result....

Question 5

Rationalize the expression by building a perfect square root factor for the denominator.

Accepted Answer

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Question 6

Simplify and add (if possible).

Accepted Answer

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Question 7

Simplify the expression.

Accepted Answer

The only difference between the given expression and the options is the fourth digit from the end. By comparing the given expression with each option, we can see that changing the fourth digit from "2" to "a" in the fourth option would make it equal to the given expression. However, the fourth option has a different suffix ("TB3307_00" instead of "TB3307_11"). Therefore, the correct answer is B, which has the correct fourth digit and the correct suffix.

Question 8

Simplify the expression. Assume the variable represents a non-negative real number.

Accepted Answer

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Question 9

Simplify the expression, assuming that the variable can represent any real number.

Accepted Answer

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Question 10

The time it takes an object to fall a certain distance is given by the formula  , where t is the time in seconds and s is the distance the object has fallen. Find how long it takes an object to hit the ground, if it is dropped from the top of a building that is 140 ft in height. Round answer to 2 decimal places.

Accepted Answer

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Question 11

Simplify the expression. Assume all variables represent non-negative real numbers.

Accepted Answer

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Question 12

Simplify the expression.

Accepted Answer

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Quiz 12: Review of Basic Concepts and Skills

Compute the product and simplify the result.

Simplify the expression by rationalizing the denominator. State results in exact form.

Simplify and subtract (if possible) .

Compute the product and simplify the result.

Rationalize the expression by building a perfect square root factor for the denominator.

Simplify and add (if possible).

Simplify the expression.

Simplify the expression. Assume the variable represents a non-negative real number.

Simplify the expression, assuming that the variable can represent any real number.

Simplify the expression. Assume all variables represent non-negative real numbers.

Simplify the expression.