QUEEN ELIZABETH REGIONAL HIGH SCHOOL MATHEMATICS 0 MIDTERM EXAM JANUARY 0 NAME: TIME: HOURS 0 MINUTES ( INCLUDES EXTRA TIME ) PART A: MULTIPLE CHOICE ( Value: 0 % ) Shade the letter of the correct response on the Scantron Sheet provided.. Epress in simplest form: 7 (A) (B) (C) (D). Evaluate: 8 (A) 8 (B) (C) (D). Epress as an entire radical. (A) 8 (B) (C) (D) 8. Determine the perimeter of the given rectangle in simplest form. (A) 8 (B) 9 8 8 (C) (D). Simplif: (A) (B) (C) 8 (D) 8. Simplif: (A) (B) 0 (C) (D) 7. Rationalize the denominator: 9 (A) (B) (C) (D) 9 8. Determine the width, w, of the given rectangle. (A) 8 (B) w Area = (C) (D) 8 l =
9. Simplif: Page (A) + (B) + (C) + (D) + 0. Simplif: 8 (A) 9 (B) (C) 9 (D). Solve for : 8 (A) = 7 (B) (C) (D). Which represents a quadratic function opening downwards? (A) = ( + ) (B) = ( + ) (C) = ( + ) (D) = ( + ). Which quadratic function graphed below has a verte at (, )? (A) (B) (C) (D). What is the domain and range of the quadratic function? (A) Domain: { R} Range: { 9 ; R} (B) Domain: { R} Range: { 9 ; R} (C) Domain: { R} Range: { 9 ; R} (D) Domain: { R} Range: { 9 ; R}. Determine the equation of the ais of smmetr for the quadratic function = ( + ) +? (A) = (B) = (C) = (D) =
Page. Determine the intercept for the graph of the function = ( + )? (A) (B) 0 (C) (D) 0 7. Which statement is correct for the quadratic function graphed below? (A) The function of the graph is = a( + )( ) with a maimum value of. (B) The function of the graph is = a( )( + ) with a maimum value of. (C) The function of the graph is = a( + )( ) with a minimum value of. (D) The function of the graph is = a( )( + ) with a minimum value of. 8. Which represents the quadratic function = ( )( ) in standard from? (A) = + (B) = + (C) = (D) = + 9. Which quadratic function has a verte at ( 0, ) and doesn t have an intercept? (A) = ( ) (B) = ( ) (C) = + (D) = + 0. Determine the equation of the ais of smmetr for the parabola that passes through the intercepts (, 0 ) and (, 0 )? (A) = (B) = (C) = (D) =. Which graph represents the function = ( ) +? (A) (B) (C) (D)
Page. The function = + 7 has an ais of smmetr of =. Which graph best models this function? (A) (B) (C) (D). A to rocket takes off from a platform and follows a trajector represented b h(t) = t + t + where h is height in meters and t is time in seconds. At what time does the rocket reach its maimum height? (A) seconds (B) seconds (C) seconds (D) seconds. An eagle soars from the top of a tree traveling a path represented b h(t) = t t + where height is in feet and time is in seconds. What is the minimum height that the eagle reaches? (A) feet (B) 8 feet (C) feet (D) 0 feet. Mark has 00 m of barbed wire to enclose a rectangular field for his cows. Which function represents the area of the field, where is the width of the field? (A) A() = + 0 (C) A() = + 0 (B) A() = + 00 (D) A() = + 00. The Global Gm has 00 members and charges $ 0 per month. If Global Gm increases its membership fees b $ per month the epect to lose 0 members per month. Which represents the revenue function? (A) R = ( 00 + 0 )( 0 + ) (B) R = ( 00 0 )( 0 ) (C) R = ( 00 + 0 )( 0 ) (D) R = ( 00 0 )( 0 + )
Page 7. Which quadratic function below has intercepts of and and a intercept of? (A) - - - - - - - - (B) - - - - - - - - - - - (C) 7 (D) 7 - - - - - - - - - - - - - 8. Which function has zeros of and? (A) f() = ( )( + ) (B) f() = ( + )( ) (C) f() = ( )( ) (D) f() = ( + )( + ) 9. What are the roots of the quadratic equation + = 0? (A) =, (B) =, (C) =, (D) =, 0. A golf ball is struck and soars through the air following the trajector represented b the function h(t) = t + t where h(t) is height in meters and t is time in seconds. How man seconds does it take for the ball to hit the ground after it has been struck? (A) seconds (B) seconds (C) seconds (D) seconds
Page MATHEMATICS 0 MIDTERM EXAM JANUARY 0 PART B: QUESTIONS ( Value: % ) NAME: Answer each question in the space provided. FULL MARKS WILL NOT BE AWARDED FOR JUST A CORRECT ANSWER. Show our workings!. Perform the operations indicated and epress the answer in simplest radical form. (a) 0 0 8 ( ) (b) 8 8 ( ). Solve the following radical equation. ( )
Page 7. Determine the following information and sketch the graph of the given function. ( 0 ) = + 9 Direction of Opening: Equation of the Ais of Smmetr: Verte: Maimum or Minimum Value: Number of intercepts: Y Intercept: Domain: Range:. Determine the quadratic function, in verte form, for the given graph. ( ) 9 8 7 - - - -
Page 8. (a) A storage space is to be constructed using 00 m of wire mesh fencing. If the warehouse is to be used as one side of the storage space determine the maimum area of the storage space? ( ) WAREHOUSE (b) What is the length and width of the enclosure that produces the maimum area? ( ) (c) What is the domain in this situation? ( ). A missile is fired from a ship into a quadratic trajector that is modeled b the function h(t) = t + t + where h(t) represents height in meters and t is time in seconds. Determine the time it takes for the missile to hit the water. ( ) 7. Determine the roots of the following quadratic equations. ( ) (a) 0 = 8 (b) + 0 8 = 0