Encircle the letter that corresponds to the correct answer.
1. Which of the following is a rational expression?
A.
−2 − 3 B. 3
1
2 + + 1 C.
2 − √25 D. √ − 1
2. What is the restriction on the rational expression 4
(3−2)
?
A. ≠
2
3
, 0 B. ≠ −
2
3
, 0 C. ≠
2
3
D. ≠ −
2
3

3. For what value(s) of x is the expression 7

2−
undefined?
A. -1,1 B. -1,0,1 C. 0,1 D. x = 0
4. Compare the quantity in Column A and the quantity in Column B
Column A Column B

2 + 3 − 10
− 2

2 + − 6
+ 3
What is the relationship between the two quantities?
A. The quantity in Column A is greater.
B. The quantity in Column B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information
given.
5. Which of the following statements is true regarding the restricted value
of x in the rational expression
2−100
3−12
?
A. 4 is restricted value because it makes the denominator equal to
zero 1
B. -4 is restricted value because it makes the denominator equal to
zero.
C. 12 is restricted value because it makes the denominator equal
to zero.
D. -12 is restricted value because it makes the denominator equal
to zero.
28
DISCIPLINE • GOOD TASTE • EXCELLENCE
6. How many restrictions does the rational expression 2
(
2−1)(
2−4)
have?
A. one restriction on x. C. three restrictions on x.
B. two restrictions on x. D. four restrictions on x.
7. The chart below provides four factorable expressions.
Expression 1 2
2 + − 1
Expression 2 2
2 + 3 − 2
Expression 3
2 − 1
Expression 4
2 +
What are the two expressions that are divided and simplified to 2−1
−1
.
A. 2
2+−1
2
2+3−2
B. 2
2+−1

2−1
C. 2
2+3−2

2−1
D.
2+

2−1
8. What is the domain of the rational expression
2−36
2
2+3−2
?
A. {x | x is a real number and ≠
1
2
, ≠ 2, }
B. {x | x is a real number and ≠
1
2
, ≠ −2 }
C. {x | x is a real number and ≠ −
1
2
, ≠ 2 }
D. {x | x is a real number and ≠
1
2
, ≠ −2 }
9. Which rational expression is equivalent to −5
−2
?
A. 3−15
−2
B. 3−15
2
C. 3−5
−2
D. 3 − 15
10.Which rational expression is equivalent to −1
2+7
?
A. 5−1
2+7
B. 5−5
2+7
C. 5−5
10+35
D. −1
10+35
29
DISCIPLINE • GOOD TASTE • EXCELLENCE
11.In simplifying rational expressions, what should you do?
A. Find the LCD.
B. Factor the numerator and denominator and eliminate common
factors.
C. Eliminate common terms in the numerator and denominator.
D. Combine like terms in the numerator and denominator.
12.Which rational expression is simplified?
i. 2
2(3−1)
ii. 11
52+2−1
iii. 25−
2
5−25
A. i only B. ii only C. I and iii D. i and ii
13.What is 6−
2−36
in simplified form?
A. −( + 1) B. + 1 C. −
1
+1
D. 1
+1
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?
A. Simplify the expression 3+2
3
2+5+2
to determine a side length of x+1.
B. Simplify the expression 3
2+5+2
3+2
to determine a side length of x+1.
C. Simplify the expression 3
2+5+2
3+2
to determine a side length of x+1.
D. Simplify the expression 3+2
3
2+5+2
to determine a side length of 2x+1.
15.The area of a rectangle is
2 + 3 − 10 . If it has a side length of 2x-4
then what is the width in terms of x?
A. −5
2
B.+5
2
C.
2
−5
D. 2
+5