QUEEN ELIZABETH REGIONAL HIGH SCHOOL MATHEMATICS 2201 MIDTERM EXAM

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1 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) (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 =

2 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) =

3 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)

4 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() = 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 = ( )( 0 + ) (B) R = ( 00 0 )( 0 ) (C) R = ( )( 0 ) (D) R = ( 00 0 )( 0 + )

5 Page 7. Which quadratic function below has intercepts of and and a intercept of? (A) (B) (C) 7 (D) 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

6 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) ( ) (b) 8 8 ( ). Solve the following radical equation. ( )

7 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. ( )

8 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

QUEEN ELIZABETH REGIONAL HIGH SCHOOL MATHEMATICS 2201 MIDTERM EXAM JANUARY 2015 PART A: MULTIPLE CHOICE ANSWER SHEET

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