X = 5 Simplify: = -3 – 36

a) The composite of two linear functions is a linear function

b) The composite of two quadratic functions is a quadratic function

c) f(g(x)) = f(x)

d) f(f(x) =

93. If y = 7x + 2 and are inverse functions, what is the value of k?

a) – 2 b) -2/7 c) 2/7 d) 7/2

94. Which is an equation of the circle that is tangent to the x-axis and whose center is at (-4,3)?

a) b)

c) d)

95. The members of a running club planned to contribute equally to raise $900 to pay for

refreshments at a marathon run. When it was discovered that $1200 would be needed instead,

three members of the club withdrew. If each of the remaining members needed to increase

his or her contribution by $40 to raise the necessary amount, how many members were in the

club originally? x people, $y each originally, xy = 900, (x – 3)(y + 40) = 1200 x = 15, y = 60
96. The illumination of a light source varies inversely as the square of the distance from that light

source. When the distance from the light source is doubled, the amount of illumination

provided by the light source is multiplied by

a) 2 b) ½ c) 4 d) ¼

97. Given that y varies inversely as x and x varies directly as z. If z is doubled, then y is

a) halved b) doubled c) divided by 4 d) unchanged
98. If, in the equation , the variable x is increased by 2, then y is

a) increased by 2 b) multiplied by 6 c) increased by 9 d) multiplied by 9

99. If what is the value of x? x = 11
100. Which function is the inverse of

a) b) c) d)

101. What is the value of 8

102. Solve for x: x = 14

103. If which expression is equivalent to

a) b) c) d)

104. Which statement is true?

a) b)

c) d)
105. If thencan be expressed as

a) 50a b) 2a + 1 c) 10 + 2a d) 25a

106. Solve for x:

107. Solve for x:

108. A rubber ball is dropped from 7 feet above the gymnasium floor and is allowed to bounce up

and down. At each bounce it rises 75% of the height from which it fell.

1. 
   Write a function that express the relationship between the height, h, of the ball and the number, n, of bounces. h(n) = 7(.75)ⁿ
   
2. 
   After how many bounces will the ball be at a height of, at, most, 1 inch? 1  7(.75)ⁿ n = 6
   

109. Raymond buys a new car for $21,500. The car depreciates by about 11% per year.

a. Write an exponential decay model y = 21500(.89)^x

b. What is the value of the car after 5 years? $12,006
110. A culture of 5,000 bacteria triples every 20 seconds. If P(t) represents the size of the bacteria

population after t minutes have elapsed, which equation can be used to model the growth of

bacteria?

a) b) c) d)

111. The amount, A, in milligrams, of a 10-milligram dose of a drug remaining in the body after t

hours is given by the exponential function Find to the nearest tenth, the

number of hours after which half of the original drug dose will be left in the body. 3.1
112. Radioactive iodine has a half-life of 60 days. The decay of a sample of radioactive iodine can

be modeled by the function, where y grams of the radioactive element remain

after t days.

1. 
   What is the number of grams of radioactive iodine present in the initial sample? 80
   
2. 
   To the nearest tenth of a percent, what percent of the original mass of the element will be present after 42 days? 61.6%
   
3. 
   In approximately how many days, correct to the nearest tenth, will 15% of the original mass be present? 164.2
   

113. Solve for x:, in the interval

x = 270, 194, 346

114. If what is 1

115. Ifthe measure of is

a) b) c) d)

116. Ifthen the value ofis equal to

a) 1 b) 1/b c) b d)

117. The expression is equivalent to

a) b) c) d)

118. Find all values of x in the interval that make the function undefined.

0, π/2, π

119. The graph of which equation has a period of radians and passes through the origin?

a) b) c) d)

120. A normal breathing cycle consists of inhaling followed by exhaling. Assume that one

complete breathing cycle occurs every 5 seconds with a maximum airflow rate of 0.6 liter per

second. If the functionis used to model this process, wheregives the

airflow at time t, what are the values of A and B? A = 0.6 B = .4π

121. The expressionis equivalent to

a) csc x b) sec x c) sin x d) cos x
122. The expression is equivalent to

a) tan x b) sin x c) cos x d) cot x

123. If and and x and y are acute angles, what is the value of

a) b) c) d)

124. If find

a) b) c) d)

125. If Arcsin(-0.6) = x and Arccos 0.5 = y, what is the exact value of cos (x + y)?

126. Ifwhat is the value of cos 2x?

127. If and find the value of

a. = b.= c. =

128. If 1 + cos A = 0.38 and is obtuse, what is the value of

a) 0.44 b) 0.1 c) d) 0.9

129. If is is in quadrant II, is in quadrant II. Find the exact value of

=

130. Which statement is true of the equation x = -4,-1

a) The only real root is 1 b) The only real root is 4

c) Both 1 and 4 are roots d) Neither 1 nor 4 is a root

131. Simplify:=
132. Simplify: =
133. What is the value of

134. is equal to

a) b)

c) d)

135. The expressionis equivalent to

a) b) c) d)

136. If then y equals

a) 45 b) c) d)

137. Solve for x: x = 3 only

138. If , find

139. Prove:
140. Find the value of if x = 16.

141. Solve for x: x = 1

142. If csc θ = 3, and cos θ < 0, find the other five trig ratios.


143. Find the exact value of x in the interval of for

x = 0, 180
144. Find the exact value of x in the interval of for

x = 45, 135, 225, 315

145. If then x equals

a) b) c) d)

146. The sum of andis

a) b) c) d)
147. Solve for x and write the roots in a + bi form.

148. If and θ is a positive acute angle, find a) b) c)

a) b) c)

149. If and, find a) b) c)

a) b) c)
150. Solve and graph for


2

-5
x < -5 or x > 2
151. If, then in radians, θ is equal to

a) b) c) d)
152. Find the roots of in simplest form. x = 0, 4 ± 3i
153. Solve algebraically. (2,-3) (.5,-6)

6

-1
154. Solve and graph: -1< x < 6

155. If x is an acute angle and then cos 2x equals

(1) (2) (3) (4)

156. If is a positive acute angle and then equals

(1) 1 (2) (3) 30° (4) 60°

157. A certain radio wave travels in a path represented by the equation What is the period

of this wave?

(1) 5 (2) 2 (3) (4)

158. The path traveled by a roller coaster is modeled by the equation y = 27 sin 13x + 30. What is the

maximum altitude of the roller coaster?

(1) 13 (2) 27 (3) 30 (4) 57
159. If what is the value of

(1) -2 (2) 2 (3) (4)

160. Mary and Amy had a total of 20 yards of material from which to make costumes. Mary used

three times more material to make her costume than Amy used, and 2 yards of material was not

used. How many yards of materials did Amy use for her costume? 4.5
161. The revenue, R(x), from selling x units of a product is represented by the equation

while the total cost, C(x), of making x units of the product is represented by the equation

The total profit, P(x), is represented by the equation For

the values of R(x) and C(x) given above, what is P(x)?

(1) 15x (2) 15x – 500 (3) 15x + 500 (4) 10x + 100
162. The roots of the equation are

(1) imaginary (2) real, rational, and equal

(3) real, irrational, and unequal (4) real, rational, and unequal
163. The roots of the equation are real, rational, and equal when a has a value of

(1) 1 (2) 2 (3) 3 (4) 4

164. Find all values of k such that the equation has imaginary roots. k > 1/3
165. Solve algebraically for all values of in the interval that satisfy the equation

. θ = 90, 180, 270
166. If sin 6A = cos 9A, then is equal to

(1) (2) (3) (4) 1.5
167. Two forces of 36 pounds and 52 pounds act on a body at an acute angle with each other. The

angle between the resultant force and the 36-pound force is 41°. Find, to the nearest degree,

the angle formed by the 36-pound force and the 52-pound force. 68°
168. The members of the Horticulture Club are designing a wildflower garden. They want to make

it in the shape of a triangle whose sides have lengths 12 feet, 14 feet, and 18 feet.

1. 
   What is the measure of the largest angle in the triangle, to the nearest tenth of a degree?
   
2. 
   Using your answer to part a), find the area of the triangle, to the nearest tenth of a square foot.
   
3. 
   If one package of wildflower seeds covers 25 square feet, how many packages must they buy?
   

a) 87.3° b) 83.9 c) 4

169. Marla plans to swim across the lake from point A to point B as shown in the diagram. To

determine the length of her swim, Marla has enlisted the aid of a land surveyor. The surveyor

set a point at C, which is 2.6 miles from A and 3.5 miles from B. The surveyor determined

thatmeasures 78°. How long is Marla’s swim, to the nearest tenth of a mile?

A

2.6


78°

c
C

3.5

B

c = 3.9
170. Which of the following is a function?

a) b) c) d)

171. Simplify:=
172. Two forces acting on a body make an angle of 104° with each other. The magnitude of the

first force is 390 pounds. If the resultant makes an angle of 47° with the first force, what is

the magnitude of the resultant, to the nearest tenth of a pound?


173. George wants to build a garden in the shape of an isosceles triangle with one of the congruent

sides equal to 12 yards. If the area of the garden will be 55 square yards, find, to the nearest

tenth of a degree, the measures of the three acute of the triangle.

174. The angle of elevation from a ship at point A to the top of a light house at point B is

When the ship reaches point C, 300 meters closer to the lighthouse, the angle of elevation

is Find, to the nearest meter, the height of the lighthouse.

B

13
d h
43° 56°

A 300 m C D

174. If a = 9, c = 8 and which type of triangle, if any, can be constructed?

a) a right triangle, only b) an acute triangle, only

c) an obtuse triangle, only d) no triangle

175. Main street and Park Avenue intersect at an angle of 74°. Mike lives on Main Street, 50

meters from the intersection, and Paul lives on Park Avenue, 40 meters from the intersection.

The triangle formed by the intersection and the houses is an acute triangle. Find, to the

nearest tenth of a meter, the distance between Mike’s house and Paul’s house.

176. A set of 418 test scores follow a normal distribution with a mean score of 72 and a standard

deviation of 8. Approximately how many students taking the test received a score greater

than 84?

. a) 390 b) 28 c) 66 d) 9

177. This table shows the time required to cook a turkey of various weights.

Weight	8	11	15.5	19.5	23
Cooking time	2.5	3	4	5	6

a) Make a scatter plot of the data, showing cooking time, C(w), in hours, as a function of weight,

w, in pounds. Graph

b) Write an equation for, a linear function to model this data. y = .234x + .496

c) Use your equation to determine the cooking time of a 17-pound turkey. y = .234(17) + .496 = 4.5

d) What size turkey would take 3.5 hours to cook? 3.5 = .234x + .496, 3.004 = .234x, x = 12.8

178. What is the value of = 55

179. A standardized test has multiple-choice questions, each with 5 possible choices. Mark is tired

of answering questions and decides to randomly guess on a reading comprehension section,

without reading the passage or the questions. Approximately what is the probability he will get

no more than 3 out of the 8 questions on this section correct?