QUEEN ELIZABETH REGIONAL HIGH SCHOOL MATHEMATICS 01 MIDTERM EXAM JANUARY 01 PART A: MULTIPLE CHOICE NAME: ANSWER SHEET 1. 11. 1.. 1... 1... 1... 1... 1.. 7. 17. 7. 8. 18. 8. 9. 19. 9. 10. 0. 0. QUADRATIC FORMULA
QUEEN ELIZABETH REGIONAL HIGH SCHOOL MATHEMATICS 01 MIDTERM EXAM JANUARY 01 NAME: TIME: HOURS 0 MINUTES ( INCLUDES EXTRA TIME ) PART A: MULTIPLE CHOICE ( Value: 0 ) Place the letter of the correct response on the Answer Sheet provided. 1. Epress in simplest form: 7 (A) (B) (C) 1 (D). Epress as an entire radical. (A) (B) 1 (C) (D) 8. Determine the perimeter of the given rectangle in simplest form. (A) 8 (B) 1 (C) 18 (D). Simplif: (A) 1 (B) (C) (D). Simplif: (A) (B) 7 (C) 11 (D) 1. Rationalize the denominator: (A) (B) (C) (D) 7. Determine the width, w, of the given rectangle. w Area = l = (A) 1 (B) 8 (C) 8 (D) 8. Simplif: (A) + (B) + (C) + (D) +
Page 9. Simplif: 0 (A) (B) (C) (D) 10. Which represents a quadratic function opening upwards? (A) f() = ( + 1 ) (B) f() = ( + 1 ) (C) f() = ( + 1 ) (D) f() = ( + 1 ) 11. Which quadratic function graphed below has a verte at (, )? (A) (B) (C) (D) 1. What is the domain and range of the quadratic function? (A) Domain: { ; R} Range: { R} (B) Domain: { ; R} Range: { R} (C) Domain: { R} Range: { ; R} (D) Domain: { R} Range: { ; R} 1. The following graph shows a ball traveling through the air. The height is measured in feet and the time in seconds. Which statement is correct for the trajector of the ball? (A) The ball attains a maimum height of 0 feet at seconds. (B) The ball attains a maimum height of feet at seconds. (C) The ball attains a maimum height of 0 feet at seconds. (D) The ball attains a maimum height of feet at seconds.
Page 1. A to rocket takes off from a platform and follows a trajector represented b h(t) = t + 1t + where h is height in meters and t is time in seconds. What is the height of the rocket at seconds? (A) meters (B) 8 meters (C) meters (D) 1 meters 1. 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. At what time does the eagle reach its minimum height? (A) seconds (B) 8 seconds (C) seconds (D) seconds 1. Which statement is correct for the quadratic function graphed below? - - - - - -8-10 (A) The function of the graph is = a( + 1 )( ) with a maimum value of 8. (B) The function of the graph is = a( 1 )( + ) with a maimum value of 8. (C) The function of the graph is = a( + 1 )( ) with a minimum value of 8. (D) The function of the graph is = a( 1 )( + ) with a minimum value of 8. 17. What is the ais of smmetr for the parabola that passes through the points (, 0 ) and (, 0 )? (A) = (B) = (C) = (D) = 18. Which represents the quadratic function = ( + )( ) in standard form? (A) = + 1 (B) = + 1 (C) = + 10 1 (D) = 10 + 1 19. Which function is represented b the graph below? 10 8 - - - - (A) = ( + 1 ) + 9 (B) = ( 1 ) + 9 (C) = ( + 1 ) + 9 (D) = ( 1 ) + 9
Page 0. Which function has an ais of smmetr of = and a maimum value of? (A) = ( + ) + (B) = ( + ) + (C) = ( ) + (D) = ( ) + 1. Determine the intercept for the graph of the function = ( 1 )? (A) (B) (C) (D) 8. Mark has 80 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 (B) A() = + 80 (C) A() = + 0 (D) A() = + 80. Which quadratic function below has intercepts of and 1 and a intercept of? (A) 1 - - 1-1 1 - - - - - (B) - - - - - 1-1 1 - - - - - 1 (C) 7 1 (D) 7 1 - - 1-1 1 - - - - - - - 1-1 1 - -. What are the roots of the quadratic equation ( + 1 )( ) = 0? 1 1 1 1 (A) =, (B) =, (C) =, (D) =,. Which quadratic function has zeros of? (A) f() = + (B) f() = (C) f() = + (D) f() =
Page. What are the roots of the quadratic equation 9 = 0? (A) = 9 (B) = (C) = 9 (D) = 7. A golf ball is struck and soars through the air following the trajector represented b the function h(t) =.t +.8t + 19. where h(t) is height in meters and t is time in seconds. When does the golf ball land on the ground? (A) 1 seconds (B) seconds (C) seconds (D) 8 seconds 8. Which graph represents a quadratic function with two equal, real zeros? (A) (B) (C) (D) 9. Mike used the quadratic formula, as shown below, to solve the quadratic equation = 0. He made a couple of errors in his calculations. In which step did Mike make his first mistake? (A) Step 1 (B) Step (C) Step (D) Step Step 1: Step : (1)( ) (1) 8 Step : 7 Step : 7 0. The product of two consecutive integers is 7. Which equation models this situation? (A) ( + )( + ) = 7 (B) ()( + ) = 7 (C) ( + 1 )( + 1 ) = 7 (D) ()( + 1 ) = 7
Page MATHEMATICS 01 MIDTERM EXAM JANUARY 01 PART B: QUESTIONS ( Value: 0 ) NAME: Answer each question in the space provided. FULL MARKS WILL NOT BE AWARDED FOR JUST A CORRECT ANSWER. Show our workings! 1. Perform the operations indicated and epress the answer in simplest radical form. (a) 7 0 1 ( ) (b) 18 8 ( ). Solve the following radical equation. ( ) 10 1
Page 7. Determine the following information and sketch the graph of the given function. ( 10 ) = + 8 + 9 Direction of Opening: Equation of the Ais of Smmetr: Verte: Maimum or Minimum Value: Number of intercepts: Y Intercept: Domain: Range:. A ball is thrown from an initial height of feet and follows a parabolic path as shown. After seconds the ball reaches a maimum height of 9 feet. Determine the quadratic function, in verte form, that models the path traveled b the ball. ( ) h (, 9 ) ( 0, ) t
Page 8. The Global Gm has 00 members and charges $ 0 per month. If Global Gm increases its membership fees b $ per month the will decrease b 0 members per month. (a) Determine the revenue function. ( ) (b) Determine the maimum revenue that can be generated. ( ) (c) What will be the new gm membership fee? ( 1 ) (d) What is the domain for the variables in this situation? ( 1 ). Determine the EXACT roots of the given quadratic equation. ( ) ( + ) = +
Page 9 7. Susan decides to build a uniform deck around her pool which has dimensions of 0 m b 10 m. If the total area of the pool and deck measures m then write a quadratic equation that models this situation and use it to determine the width,, of of the uniform strip. ( ) 10 m Pool 0 m