SOLUTION: 3. The width of a rectangle is 3 inches less than its length. The area of the rectangle is 340 square inches. What are the length and width of the rectangle? A. length = 20 inche

Question 981616: 3. The width of a rectangle is 3 inches less than its length. The area of the rectangle is 340 square inches.
What are the length and width of the rectangle?
A. length = 20 inches, width = 17 inches
B. length = 34 inches, width = 10 inches
C. length = 17 inches, width = 14 inches
D. length = 10 inches, width = 7 inches
4. Which of the following are the factors of m
2 � 14m + 48?
A. (m � 6)(m � 8)
B. (m � 12)(m + 4)
C. (m + 6)(m + 8)
D. (m � 12)(m � 4)
5. Find the value or values of x in the quadratic equation x
2
= 6x � 9.
A. x = 9
B. x = �3, x = 2
C. x = 3
D. x = 0, x = 1
6. Find the value or values of p in the quadratic equation p
2
+ 13p � 30 = 0.
A. p = �10, p = �3
B. p = 10, p = 3
C. p = �15, p = 2
D. p = 15, p = 2
7. Which of the following shows the complete factorization x
3
+ 3x
2
?
A. x
2
(x � 3)
B. x
2
(x + 3)
C. x
2
(x
2
+ 3)
D. x(x
2
+ 3x)
8. Which of the following are the factors of t
4 � 81?
A. (t � 3)(t + 3)(t
2
+ 9)
B. (t
2 � 9)(t
2 � 9)
C. (t � 3)2
(t + 3)2
D. (t � 3)(t + 3)2
9. Find the possible value or values of y in the quadratic equation 4 � 4y � y
2
= 0.
A. y = �4, y = 1
B. y = 2
C. y = �2 + 2√ 2, y = −2 −�2√ 2
D. y = �3, y = �1
10. What is the discriminant in the quadratic equation x
2
+ 11x + 121 = x + 96?
A. 100
B. 20
C. 0
D. 200
11. Find the value or values of y in the quadratic equation y
2
+ 4y + 4 = 7.
A. y = 2, y = 7
B. y = −2√ 7 , y = 2√ 7
C. y = −2 + √ 7 , y = −2 − √ 7
D. y = 2 + 2√ 7 , y = 2 − 2√ 7
12. Which of the following are the factors of q
3 � q
2
+ 2q � 2?
A. (q � 1)(2 � q)
B. (q + 1)(q
2
+ 2)
C. (q � 1)(2 � q
2
)
D. (q � 1)(q
2
+ 2)
13. The length of a rectangle is 2 meters more than its width. The area of the rectangle is 80 square meters.
What is the length and width of the rectangle?
A. length = 14 meters, width = 12 meters
B. length = 10 meters, width = 8 meters
C. length = 8 meters, width = 6 meters
D. length = 20 meters, width = 4 meters
14. The hypotenuse of a right triangle is 26 feet long. One leg of the triangle is 14 feet longer than the other
leg. Find the lengths of the legs of the triangle.
A. leg = 5 feet, leg = 19 feet
B. leg = 10 feet, leg = 24 feet
C. leg = 15 feet, leg = 29 feet
D. leg = 11 feet, leg = 25 feet
15. Which of the following is the greatest common factor of the terms 48s
5
t
3u
2
and 40s
3
tu
4
?
A. 6s
3
tu
B. 8s
3
tu
2
C. 6s
2
t
2u
D. 8s
2
t
2u
16. Which of the following are the factors of 4b
2
−�16?
A. 4(b � 2)(b + 2)
B. (2b + 4)(2b + 4)
C. 2(b � 4)(b + 4)
D. (2b � 2)(2b + 4)
17. Find the possible value or values of z in the quadratic equation z
2 � 4z + 4 = 0.
A. z = 2√ 2 + 2, z = −√ 2 + 2
B. z =√ 2 + 2, z = −√ 2 + 2
C. z = 2
D. z = 10, z = 6
18. Find the possible value or values of n in the quadratic equation 2n
2 � 7n + 6 = 0.
A. n = 3
2
, n = 2
B. n = 6, n = 0
C. n = −2, n = −3
2
D. n = 1, n = 3
19. Find the possible value or values of r in the quadratic equation r
2 � 7r � 8 = 0.
A. r = �10, r = 3
B. r = 2
/3
, r = 5
C. r = 8, r = �1
D.
20. Use the discriminant to determine how many real number solutions exist for the quadratic equation �4j
2
+ 3j � 28 = 0.
A. 0
B. 3
C. 1
D. 2
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