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

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1 QUEEN ELIZABETH REGIONAL HIGH SCHOOL MATHEMATICS 01 MIDTERM EXAM JANUARY 01 PART A: MULTIPLE CHOICE NAME: ANSWER SHEET QUADRATIC FORMULA

2 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) +

3 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.

4 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? (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 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) = (D) = Which function is represented b the graph below? (A) = ( + 1 ) + 9 (B) = ( 1 ) + 9 (C) = ( + 1 ) + 9 (D) = ( 1 ) + 9

5 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() = Which quadratic function below has intercepts of and 1 and a intercept of? (A) (B) (C) 7 1 (D) What are the roots of the quadratic equation ( + 1 )( ) = 0? (A) =, (B) =, (C) =, (D) =,. Which quadratic function has zeros of? (A) f() = + (B) f() = (C) f() = + (D) f() =

6 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 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

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) ( ) (b) 18 8 ( ). Solve the following radical equation. ( ) 10 1

8 Page 7. Determine the following information and sketch the graph of the given function. ( 10 ) = 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

9 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. ( ) ( + ) = +

10 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