GenMath Grade 11 Week 1-10 + Exam
Q1. Function notation for Enchanted Kingdom cost (Php 600 admission + Php 500 average spend per person):
Answer: E(x)=(600+500)x
Q2. Function notation for bananas sold at Php 50.00 per kilo:
Answer: B(x)=50x
Q3. Function notation for a gym membership (one-time Php 2000 fee + Php 1000 per month):
Answer: G(m)=2000+1000m
Q4. Function notation for paintball (Php 100 per gun + a fixed team cost for paintballs):
Answer: P(x)=100x+2000
Q5. Function notation for the ordered pairs {(1,11), (2,22), (3,33), (4,44)}:
Answer: f(x)=11x
Q6. Representation of the total cost for x moviegoers at Php 200.00 each:
Answer: 200x
Q7. Cost for a group of five to watch a movie at Php 200.00 each:
Answer: 1000
Q8. Function representing monthly internet cost (Php 999 fee + Php 1.00 per hour):
Answer: 999+x
Q9. Maya's internet bill (Php 999 monthly fee + Php 1/hr) if used for 15 days (24/7):
Answer: 1359
Q10. Function notation for Universal Studios cost (Php 2600 admission + Php 1500 average spend per person):
Answer: E(x)=(2600+1500)x
Q11. Function notation for the ordered pairs {(1,6), (2,11), (3,16), (4,21)}:
Answer: f(x)=5x+1
Q12. If g(x)=3
x+2
, find g(−8):
Answer: -2
Q13. If g(x)=−2x2
−3, find g(0):
Answer: -3
Q14. If g(x)=−8x+1, find g(−2):
Answer: 17
Q15. If g(x)=x−3
6
, find g(5):
Answer: 3
Q16. If g(x)=x−5, find g(−1):
Answer: -6
Q17. If g(x)=−4a+7, find g(2a):
Answer: −8a+7
Q18. If g(x)=x2
+1
−7x+1
, find g(3):
Answer: -2
Q19. If g(x)=3x−5, find g(4):
Answer: 7
Q20. If g(x)=3x2
+2x−1, find g(−1):
Answer: 0
Q21. If g(x)=4∣x−3∣+2, find g(1):
Answer: 10
Q22. Given f(x)=x−2, find f(0):
Answer: -2
Q23. Given f(x)=x−2, find f(3):
Answer: 1
Q24. Given f(x)=x−2, find f(−1):
Answer: -3
Q25. Given f(x)=x−3
, find f(28):
Answer: 5
Q26. Given f(x)=x−3
, find f(4):
Answer: 1
Q27. Given f(x)=x−3
, find f(12):
Answer: 3
Q28. For the function g(x)=2x
, find g(2):
Answer: 4
Q29. For the function g(x)=2x
, find g(4):
Answer: 16
Q30. For the function g(x)=2x
, find g(0):
Answer: 1
Q31. For the function g(x)=2x
, find g(−2):
Answer: 1/4
Q32. For the function g(x)=2x
, find g(−4):
Answer: 1/16
Q33. For the function g(x)=3x
, find g(2):
Answer: 9
Q34. For the function g(x)=3x
, find g(4):
Answer: 81
Q35. For the function g(x)=3x
, find g(0):
Answer: 1
Q36. For the function g(x)=3x
, find g(−2):
Answer: 1/9
Q37. For the function g(x)=3x
, find g(−4):
Answer: 1/81
Q38. Let f(x)=4x−5 and g(x)=3x, find (f+g)(x):
Answer: 7x−5
Q39. Let f(x)=4x−5 and g(x)=3x, find (f−g)(x):
Answer: x−5
Q40. Let f(x)=4x−5 and g(x)=3x, find (f/g)(x):
Answer: 3x
4x−5
Q41. Let f(x)=4x−5 and g(x)=3x, find (fg)(x):
Answer: 12x2
−15x
Q42. Let f(x)=4x−5 and g(x)=3x, find (f∘g)(x):
Answer: 12x−5
Q43. Let f(x)=2x−3 and g(x)=4x, find (f∘g)(x):
Answer: 8x−3
Q44. Let f(x)=−10x−18 and g(x)=−3x, find (f−g)(x):
Answer: −7x−18
Q45. Given f(x)=x+4 and g(x)=2x+1, match the operation for 2x2
+9x+12:
Answer: (f⋅g)(x)
Q46. Given f(x)=x+4 and g(x)=2x+1, match the operation for 2x+1
x+4
:
Answer: (f/g)(x)
Q47. Given f(x)=x+4 and g(x)=2x+1, match the operation for −x+3:
Answer: (f−g)(x)
Q48. Given f(x)=x+4 and g(x)=2x+1, match the operation for 3x+5:
Answer: (f+g)(x)
Q49. Given f(x)=x+4 and g(x)=2x+1, match the operation for 2x+5:
Answer: (f∘g)(x)
Q50. Given f(x)=x+4 and g(x)=2x+1, match the operation for x+4
2x+1
:
Answer: (g/f)(x)
Q51. Given f(x)=x+2 and g(x)=x2
−4, match the operation for x2
+x−2:
Answer: (f+g)(x)
Q52. Given f(x)=x+2 and g(x)=x2
−4, match the operation for x−2
1
:
Answer: (f/g)(x)
Q53. Given f(x)=x+2 and g(x)=x2
−4, match the operation for x2
−2:
Answer: (g∘f)(x)
Q54. Given f(x)=x+2 and g(x)=x2
−4, match the operation for x−2:
Answer: (g/f)(x)
Q55. Given f(x)=x+2 and g(x)=x2
−4, match the operation for x2
−2:
Answer: (f∘g)(x)
Q56. Given f(x)=x+2 and g(x)=x2
−4, match the operation for x3
+2x2
−4x−8:
Answer: (f⋅g)(x)
Q57. Solve for x: x+1
3
=x−3
2
:
Answer: 11
Q58. Solve for x: x−2
x2
−4x
=x−2
14−9x
:
Answer: -2
Q59. Solve for x: x+1
2
+2x
5
=2:
Answer: 1/2, -3
Q60. For p(V)=125V2
(1,000V−43)
5,125,000V2
−449,000V+19307
, does the function have a V-intercept?
Answer: Yes
Q61. For p(V)=125V2
(1,000V−43)
5,125,000V2
−449,000V+19307
, what is the vertical asymptote?
Answer: 0.043
Q62. For p(V)=125V2
(1,000V−43)
5,125,000V2
−449,000V+19307
, does the function have a p-intercept?
Answer: No
Q63. For p(V)=125V2
(1,000V−43)
5,125,000V2
−449,000V+19307
, what is the horizontal asymptote?
Answer: 41.004
Q64. From the table of values, identify the zeroes of the function:
Answer: -3, 2
Q65. If drug concentration C(t)=t2
+2
0.04t
, how many hours (t) until the concentration is 0.01 units?
Answer: 2 hours
Q66. The average cost per unit is C(x)=x+50
8000
. What is the approximate cost per unit when 1250 toy cars are produced?
Answer: $6.15
Q67. Weekly sales are given by S(t)=t2
+100
120t
. In which week (t) would the sales have been 6 thousand units?
Answer: 10th
Q68. Train A covers 240 miles in the same time train B covers 180 miles. If A's speed is 20 mph more than B's, what is B's average speed?
Answer: 60 mph
Q69. Ryan drove 52.5 miles in the same time Philip drove 37.5 miles. If Ryan's speed was 30 mph more than Philip's, what was Ryan's speed?
Answer: 105 mph
Q70. Vertical asymptote of f(x)=x+2
5x−1
:
Answer: x=−2
Q71. Horizontal asymptote of f(x)=x+2
5x−1
:
Answer: y=5
Q72. The zero of the function f(x)=log3
(x−1):
Answer: 2
Q73. Vertical asymptote of the function f(x)=log3
(x−1):
Answer: x=1
Q74. Is f(x)=4−3x4
a one-to-one function?
Answer: No
Q75. Is f(x)=3−4x a one-to-one function?
Answer: Yes
Q76. Is f(x)=4−3x4
a one-to-one function?
Answer: No
Q77. Is f(y)=3−4y4
a one-to-one function?
Answer: No
Q78. Is f(x)=10 a one-to-one function?
Answer: No
Q79. Is f(x)=4−3x2
a one-to-one function?
Answer: No
Q80. Is f(x)=4−3x a one-to-one function?
Answer: Yes
Q81. Is f(x)=4−3x2
a one-to-one function?
Answer: No
Q82. Is f(y)=4−3y2
a one-to-one function?
Answer: No
Q83. Is f(x)=4 a one-to-one function?
Answer: No
Q84. Is f(x)=3−8x2
a one-to-one function?
Answer: No
Q85. Is f(x)=5−9x a one-to-one function?
Answer: Yes
Q86. Is f(x)=2−5x8
a one-to-one function?
Answer: No
Q87. Is f(x)=x a one-to-one function?
Answer: Yes
Q88. Find the inverse of f(x)=5x−4:
Answer: f−1
(x)=5
x+4
Q89. Find the inverse of f(x)=4x+12:
Answer: f−1
(x)=4
x
−3
Q90. Find the inverse of f(x)=2
1
(3x+4):
Answer: f−1
(x)=3
2x−4
Q91. A function whose graph is a slanted line has an inverse function:
Answer: True
Q92. Some functions have inverse functions:
Answer: True
Q93. The absolute value function has an inverse function:
Answer: False
Q94. The horizontal line test is used to determine whether a function is one-to-one:
Answer: True
Q95. All functions have inverse functions:
Answer: False
Q96. The vertical line test is used to determine whether a function is one-to-one:
Answer: False
Q97. A function whose graph is a parabola has an inverse function:
Answer: False
Q98. The absolute value function for the domain of all positive real numbers has an inverse function:
Answer: True
Q99. The graph of a function and its inverse are reflections of each other in the line y=x:
Answer: True
Q100. The relation pairing a real number to its square is a one-to-one function:
Answer: False
Q101. The relation pairing an SSS member to his/her SSS number is a one-to-one function:
Answer: True
Q102. Which represents an exponential function?
Answer: Population growth of microorganisms
Q103. Which represents an exponential function?
Answer: Growth of bacteria in a petri dish
Q104. Which does not represent an exponential function?
Answer: The conversion of Fahrenheit to Celsius
Q105. Complete the table of values for f(x)=3x
for x=−2,−1,0,1,2,3:
Answer: 1/9, 1/3, 1, 3, 9, 27
Q106. Complete the table of values for f(x)=(3
1
)x
for x=−2,−1,0,1,2,3:
Answer: 9, 3, 1, 1/3, 1/9, 1/27
Q107. Complete the table of values for f(x)=5x
for x=−2,−1,0,1,2,3:
Answer: 1/25, 1/5, 1, 5, 25, 125
Q108. Solve for x: 5−2x−10
=25x+1
:
Answer: -3
Q109. What is the y-intercept of f(x)=2x
?
Answer: 1
Q110. Complete the table of values for y=2x
for x=−3,−2,−1,0,1,2,3:
Answer: 1/8, 1/4, 1/2, 1, 2, 4, 8
Q111. Complete the table of values for y=−2x
for x=−3,−2,−1,0,1,2,3:
Answer: -1/8, -1/4, -1/2, -1, -2, -4, -8
Q112. Complete the table of values for y=(3)(2x
) for x=−3,−2,−1,0,1,2,3:
Answer: 3/8, 3/4, 3/2, 3, 6, 12, 24
Q113. How the graph of y=−2x
relates to y=2x
:
Answer: Reflection across the x-axis
Q114. How the graph of y=(3)(2x
) relates to y=2x
:
Answer: Stretched vertically by a factor of 3
Q115. Find the value of log2
32:
Answer: 5
Q116. Find the value of log9
729:
Answer: 3
Q117. Find the value of log5
5:
Answer: 1
Q118. Find the value of x: 24
=x:
Answer: 16
Q119. Find the value of x: 43
=x:
Answer: 64
Q120. Give the exponential form of log1/2
16=−4:
Answer: (2
1
)−4
=16
Q121. Give the exponential form of log7
1=0:
Answer: 70
=1
Q122. Give the exponential form of log5
5
1
=−2
1
:
Answer: 5−1/2
=5
1
Q123. Solve: log7
(73
⋅78
):
Answer: 11
Q124. Solve for x in log3
(2x−1)=2:
Answer: 5
Q125. Solve for x in logx
16=2:
Answer: 4
Q126. Definition of Interest:
Answer: The amount earned or paid for the use of money
Q127. Definition of Principal:
Answer: The initial amount of money borrowed or invested
Q128. Definition of Maturity Value:
Answer: The total amount including principal and interest at the end of the loan term
Q129. Definition of Term:
Answer: The duration for which the money is borrowed or invested
Q130. Definition of Interest Date:
Answer: The date on which interest is calculated or paid
Q131. Find the simple interest for P = 10,000.00, R = 8%, T = 15 years:
Answer: 12,000.00
Q132. Find the principal for R = 2%, T = 5 years, I = 10,000.00:
Answer: 100,000.00
Q133. Find the rate for P = 360,000.00, T = 2 years, I = 3,600.00:
Answer: 0.5%
Q134. Find the time for P = 500,000.00, R = 10.5%, I = 175,000.00:
Answer: 3.33 years
Q135. Find the simple interest for P = 880,000.00, R = 9.25%, T = 2.5 years:
Answer: 203,500.00
Q136. Find the maturity value if Php 10,000.00 is deposited at 2% compounded quarterly for 5 years:
Answer: Php 11,048.96
Q137. Find the interest if Php 10,000.00 is deposited at 2% compounded quarterly for 5 years:
Answer: Php 1,048.96
Q138. How much was invested if it earned Php 15,000.00 simple interest in 2 years at an annual rate of 5%?
Answer: Php 150,000.00
Q139. How much should be placed in a time deposit paying 1.1% compounded annually to have Php 200,000.00 after 6 years?
Answer: Php 186,628.74
Q140. How long will it take Php 40,000.00 to amount to Php 51,200.00 with a simple interest rate of 12% per annum?
Answer: 2.33 years
Q141. Future value of Php 25,000.00 deposited for 4 years in an account yielding 0.25% compound interest annually:
Answer: Php 25,250.94
Q142. Interest paid on Php 25,000.00 deposited for 4 years at 0.25% compounded annually:
Answer: Php 250.94
Q143. How much was invested if it earned Php 21,000.00 simple interest in 3 years at an annual rate of 7%?
Answer: Php 100,000.00
Q144. Present value of Php 50,000.00 due in 4 years if money is invested at 12% compounded semi-annually:
Answer: Php 31,370.62
Q145. Domain of the function {(5, 10), (6, 12), (7, 14)}:
Answer: {5, 6, 7}
Q146. Range of the function {(5, 10), (6, 12), (7, 14)}:
Answer: {10, 12, 14}
Q147. Domain of the function {(1, 2), (2, 5), (3, 7)}:
Answer: {1, 2, 3}
Q148. Range of the function {(1, 2), (2, 5), (3, 7)}:
Answer: {2, 5, 7}
Q149. Domain of the function {(10, 9), (11, 8), (12, 7)}:
Answer: {10, 11, 12}
Q150. Range of the function {(10, 9), (11, 8), (12, 7)}:
Answer: {9, 8, 7}
Q151. Equivalent conversion of 72°F to Celsius:
Answer: 22.22°C
Q152. Equivalent conversion of 100°C to Fahrenheit:
Answer: 212.00°F
Q153. Equivalent conversion of 70°F to Celsius:
Answer: 21.11°C
Q154. Are Fahrenheit-to-Celsius and Celsius-to-Fahrenheit conversion functions inverses of each other?
Answer: Yes
Q155. Equivalent conversion of 68°F to Celsius:
Answer: 20.00°C
Q156. Equivalent conversion of 0°C to Fahrenheit:
Answer: 32.00°F
Q157. Solve for x: 7x+4
=492x−1
:
Answer: 2
Q158. Solve for x: 4x+2
=82x
:
Answer: 1
Q159. How far (in feet) can you dive without experiencing more than 58.7 psi of pressure on your body?
Answer: 100
Q160. A function A that can represent the area that can be enclosed in terms of x:
Answer: A(x)=100x−2x2
Q161. Solve for x: 10x+3=3x−4:
Answer: -1
