Math Quiz - Pre-Calculus Review PDF

Teacher ARNAL Class The two lines passing through the center which serve as a guide in graphing the hyperbola. A C  Asymptotes A B C Convert the general equations into standard form of a HYPERBOLA 2 2 64𝑦 A − 36𝑥 = 2304...

Teacher ARNAL Class The two lines passing through the center which serve as a guide in graphing the hyperbola. A C  Asymptotes A B C Convert the general equations into standard form of a HYPERBOLA 2 2 64𝑦 A − 36𝑥 = 2304 C  2 2 𝑦 𝑥 − =1 A 36 B 64 C  Convert the general equations into standard form of a HYPERBOLA 2 2 9𝑥 − A16𝑦 + 54𝑥 + 96𝑦 C + 81 = 0  2 2 (𝑦 − 3) (𝑥 + 3) − =1 9 16 A B C  2 2 (𝑦 − 3) (𝑥 + 3) − =1 9 16 A C Find the CENTER  C (-3,3) A B C  2 2 (𝑦 − 3) (𝑥 + 3) − =1 9 A 16C Find the vertices 𝑉1 −3,6 , 𝑉2 (−3,0) A B C  2 2 (𝑦 − 3) (𝑥 + 3) − =1 9A 16C Find the covertices 𝐶𝑉1 1,3 , 𝐶𝑉2 (−7,3) A B C  2 2 (𝑦 − 3) (𝑥 + 3) − =1 9 A 16C Find the FOCI. 𝐹1 −3,8 A , B 𝐹2 (−3, C −2)  2 2 (𝑦 − 3) (𝑥 + 3) − =1 9 A 16C Find the ASYMPTOTES.  3 𝑦 =± 𝑥+3 +3 A 4 B C Solve systems of nonlinear equations. A C How many solutions? One solution A B C  Solve systems of nonlinear equations. Using substitution method. A C (12,0) and (0,-12) A B C  Solve systems of nonlinear equations. Using elimination method. A C (-1,7) and (-1,-1) A B C Classify the conic section usingA the given equation C  HYPERBOLA A B C Classify the conic section usingA the given equation C  HYPERBOLA A B C Find the five terms using the equation of A 𝑨𝒏 = {2n+1} C 3,5,7,9,11 A B C Find the series of five terms using the equation of A 𝑨𝒏 = {2n+1} C A 35 B C  Which term of the arithmetic sequence 4, 1,- 2,-5 ,… is -29 ? A C 12 A th term B C A C A 6561 B C A C A B C A C A B C A C A B C A C A B C A C  10 𝑥𝑖 A B C 𝑖=1 A C A B C A C A B C A C A B C Find the sums of sigma 245 notation of 𝑖=1 8 A C A B C A C A B C  Find the positive coterminal angles of °C A −349  ° A B C  Find the coterminal angles between 0 and C ° A 360 of 𝟔𝟑𝟓  ° A B C  Find the positive ° coterminal angles 𝟒𝟓 A C  ° A B C  Find the negative ° coterminal angles 𝟒𝟓 A C  ° A B C Find the reference ° angle of 78 A C  ° A B C Find the reference ° angle of 221 A C  ° A B C Find the reference ° angle of −410 A C  ° A B C Convert radian measure to degree measure: 𝟓𝝅 A C 𝟑  ° A B C Convert radian measure to degree measure: 𝟑𝝅 A C  ° A B C Convert radian measure to degree measure: −𝟕𝝅 A C 𝟔  ° A B C Convert degree measure to radian measure: ° 𝟕𝟓 A C  5𝜋 A 12 B C How many degrees of 2 ¾ rev? A C  ° A B C If the radius of the circle is 12 units which subtends a ° central angle of 𝟔𝟎 , find the A C length of an arc. A B C  A central angle in a circle of radius 4 m is subtended by an arc of length 6m. Find the A C measure of 𝜽 in radians.  3 𝑟𝑎𝑑 A 2B C Find the area of a sector of a circle with central angle ° 𝟔𝟎 if the radius of the circle A C is 3m  3𝜋 2 𝑚 A 2 B C A sprinkle on a golf course fairway is set to spray water over a distance of 70 ft and rotates through an angle of °A C fairway 𝟏𝟐𝟎. Find the area of the watered by the sprinkle. 4900𝜋 2 2 𝑓𝑡 𝑜𝑟 5,131.28 𝑓𝑡 3 A B C Find the area of a sector of a circle 𝝅 with central angle that measures , 𝟑 if the radius of the circle is 3ft. A C  2 4.71 𝑓𝑡 A B C Find the radius of a circle in which a 𝟓𝝅 central angle of radians. 𝟏𝟖 𝟐 Determines a sector of area 64𝒎. A C  12.11 m A B C Teacher Olivia's Class