Question 1

Which of the following is a rational expression?

Accepted Answer

C. x² − $\sqrt{25}$

Answer

A. x ^-2 − 3x

Answer

B. 3x^1/2 + x + 1

Answer

D. $\sqrt{x}$ − 1

Question 2

What is the restriction on the rational expression $\sqrt{x}$ ?

Accepted Answer

A. $\sqrt{x}$

Answer

D. $\sqrt{x}$ only

Answer

B. $\sqrt{x}$

Answer

C. $\sqrt{x}$ only

Question 3

For what value(s) of x is the expression $\sqrt{x}$ undefined?

Accepted Answer

C. 0,1

Answer

A. -1,1

Answer

B. -1,0,1

Answer

D. x = 0

Question 4

Compare the quantity in Column A and the quantity in Column B. What is the relationship between the two quantities?

Accepted Answer

A. The quantity in Column A is greater.

Answer

D. The relationship cannot be determined from the information given.

Answer

B. The quantity in Column B is greater.

Answer

C. The two quantities are equal.

Question 5

Which of the following statements is true regarding the restricted value of x in the rational expression $\sqrt{x}$ ?

Accepted Answer

A. 4 is restricted value because it makes the denominator equal to zero 1.

Answer

B. -4 is restricted value because it makes the denominator equal to zero.

Answer

D. -12 is restricted value because it makes the denominator equal to zero.

Answer

C. 12 is restricted value because it makes the denominator equal to zero.

Question 6

How many restrictions does the rational expression $\sqrt{x}$ have?

Accepted Answer

D. four restrictions on x.

Answer

B. two restrictions on x.

Answer

C. three restrictions on x.

Answer

A. one restriction on x.

Question 7

The chart below provides four factorable expressions. What are the two expressions that are divided and simplified to $\sqrt{x}$

Accepted Answer

B. $\sqrt{x}$

Answer

D. $\sqrt{x}$

Answer

A. $\sqrt{x}$

Answer

C. $\sqrt{x}$

Question 8

What is the domain of the rational expression $\sqrt{x}$ ?

Accepted Answer

D. {x | x is a real number and ≠ $\sqrt{x}$ , x ≠ −2 }

Answer

B. {x | x is a real number and x ≠ $\sqrt{x}$ , x ≠ −2 }

Answer

A. {x | x is a real number and x ≠ $\sqrt{x}$ , x ≠ 2, }

Answer

C. {x | x is a real number and ≠ − $\sqrt{x}$ , x ≠ 2 }

Question 9

Which rational expression is equivalent to $\sqrt{x}$ ?

Accepted Answer

A. $\sqrt{x}$

Answer

D. 3x − 15

Answer

B. $\sqrt{x}$

Answer

C. $\sqrt{x}$

Question 10

Which rational expression is equivalent to $\sqrt{x}$ ?

Accepted Answer

C. $\sqrt{x}$

Answer

A. $\sqrt{x}$

Answer

B. $\sqrt{x}$

Answer

D. $\sqrt{x}$

Question 11

In simplifying rational expressions, what should you do?

Accepted Answer

B. Factor the numerator and denominator and eliminate common factors.

Answer

A. Find the LCD.

Answer

D. Combine like terms in the numerator and denominator.

Answer

C. Eliminate common terms in the numerator and denominator.

Question 12

12.Which rational expression is simplified?

Accepted Answer

B. ii only

Answer

D. i and ii

Answer

C. I and iii

Answer

A. i only

Question 13

What is $\sqrt{x}$ in simplified form?

Accepted Answer

D. $\sqrt{x}$

Answer

B. y + 1

Answer

C. $\sqrt{x}$

Answer

A. −(y + 1)

Question 14

The area and side width of a rectangle are given. In order to find the side length of this rectangle, what will you do?

Accepted Answer

B. Simplify the expression $\sqrt{x}$ to determine a side length of x+1.

Answer

C. Simplify the expression $\sqrt{x}$ to determine a side length of x+1.

Answer

A. Simplify the expression $\sqrt{x}$ to determine a side length of x+1.

Answer

A. Simplify the expression $\sqrt{x}$ to determine a side length of $\sqrt{25}$

Question 15

The area of a rectangle is $\sqrt{x}$ . If it has a side length of 2x-4 then what is the width in terms of x?

Accepted Answer

B. $\sqrt{x}$

Answer

D. $\sqrt{x}$

Answer

A. $\sqrt{x}$

Answer

C. $\sqrt{x}$

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