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NC CHECK-IN 2 NC MATH 3—CALCULATOR ACTIVE 1 Which expression is equivalent to 2x + x ? 3x + 2 3x + 2 A 3x 6x + 4 B 3x 3x + 2 C x x + 2 1...

NC CHECK-IN 2 NC MATH 3—CALCULATOR ACTIVE 1 Which expression is equivalent to 2x + x ? 3x + 2 3x + 2 A 3x 6x + 4 B 3x 3x + 2 C x x + 2 1 D 2 3 − 1 2 Which expression is equivalent to x x + 4 ? 4 – + 6x 1 2 − x A 2x − 6 – x + 12 – x 2 − 4x + 12 B 8x 2 + 32 3x 3 + 5x 2 − 22x C 2x 2 − 4x − 48 x 2 + 4x − 12 D x 2 − 2x − 24 DO NOT REPRODUCE 1 Go to the next page.  NC CHECK-IN 2 NC MATH 3—CALCULATOR ACTIVE 3 What is the value of x in this equation? 2 = 3 2x − 4 x + 2 A 2 B 4 C 6 D 8 4 Which scenario could be modeled by the graph of the function f(x) = 100(1.002)x? A An ant colony that has an initial population of 100 increases by 0.2% per year. B An ant colony that has an initial population of 100 increases at a constant rate of 0.2 per year. C An ant colony that has an initial population of 100 decreases by 0.2% per year. D An ant colony that has an initial population of 100 decreases at a constant rate of 0.2 per year. DO NOT REPRODUCE 2 Go to the next page.  NC CHECK-IN 2 NC MATH 3—CALCULATOR ACTIVE 5 A quartic function is shown in this table. x f(x) –2 14 –1 –1 0 –2 1 –1 2 14 What is the difference between the minimum value of f(x) and the minimum value of g(x) = x2 + 4x – 8? A 2 units B 4 units C 10 units D 14 units DO NOT REPRODUCE 3 Go to the next page.  NC CHECK-IN 2 NC MATH 3—CALCULATOR ACTIVE Questions 6 through 9 require you to write your answers in the boxes provided on your answer sheet. A sample grid is shown below each question, but your answer must be properly entered on the answer sheet to be scored. Write only one number or symbol in each box and fill in the circle in each column that matches what you have printed. Fill in only one circle in each column. 6 What is the solution to the equation shown? x 2 + 5x − 14 = – 21 x −2 Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,. , -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal. 7 What is the smallest zero of h(x) = x3 + 2x2 – 5x – 6? Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,. , -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal. DO NOT REPRODUCE 4 Go to the next page.  NC CHECK-IN 2 NC MATH 3—CALCULATOR ACTIVE 8 The function f is defined as f(x) = (x – 4)2(x + 3). The cubic function g(x) has a root at 5, a double root at –2, and a leading coefficient of 1. What is the horizontal distance, in units, between the relative minimum of f(x) and the relative maximum of g(x)? Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,. , -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal. 9 What is the diameter of the circle defined by x2 – 6x + y2 + 4y – 23 = 0? Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,. , -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal. DO NOT REPRODUCE 5 Go to the next page.  NC CHECK-IN 2 NC MATH 3—CALCULATOR ACTIVE 10 Kim is comparing two functions: The quadratic function f(x) has roots at –4 and 2 and a y-intercept at 2. The graphic of cubic function g(x) is shown. Question and answer choices A, B, C, and D are on the following page. DO NOT REPRODUCE 6 Go to the next page.  NC CHECK-IN 2 NC MATH 3—CALCULATOR ACTIVE What is the distance between the smallest x-intercept of f(x) and the smallest x-intercept of g(x)? A –2 B 0 C 2 D 3 DO NOT REPRODUCE 7 Go to the next page.  NC CHECK-IN 2 NC MATH 3—CALCULATOR ACTIVE 11 What coordinate pair is the center of the circle represented by (x – 3)2 + (y + 4)2 = 9? A (–4, 3) B (–3, 4) C (3, –4) D (4, –3) 12 The coverage area for a certain radio station can be modeled as a circle with the center at the station’s transmitter and a radius of 25 miles. The population density for the coverage area is 14.2 residents per square mile. To the nearest hundred, how many people reside within the station’s coverage area? A 111,500 B 27,900 C 2,200 D 1,100 DO NOT REPRODUCE 8 Go to the next page.  NC CHECK-IN 2 NC MATH 3—CALCULATOR ACTIVE 13 Which expression is equivalent to 2x + 7 − 4x + 6 ? 3x − 5 x + 3 – 10x 2 + 15x + 51 A (x + 3)(3x − 5) – 10x 2 + 11x − 9 B (x + 3)(3x − 5) – 10x 2 + 51 C (x + 3)(3x − 5) – 10x 2 − 11 D (x + 3)(3x − 5) 14 A boat takes 30 minutes to travel 10 miles upstream. The river is flowing at a constant rate of 3 mph. What is the speed of the boat in still water? A 23 mph B 17 mph C 6 mph D 3 mph DO NOT REPRODUCE 9 Go to the next page.  NC CHECK-IN 2 NC MATH 3—CALCULATOR ACTIVE 15 An experiment attempts to simulate temperatures in degrees Fahrenheit for the first 10 hours of the day. This piecewise function models the progression at any time, x, during the experiment. 48 + 5x for 0 < x ≤ 4  f (x) = 60 + 2x for 4 < x ≤ 7 81 − 1x for 7 < x ≤ 10 What is the maximum temperature simulated during the experiment? A 68°F B 74°F C 81°F D 84°F DO NOT REPRODUCE 10 Go to the next page.  NC CHECK-IN 2 NC MATH 3—CALCULATOR ACTIVE Questions 16 through 18 require you to write your answers in the boxes provided on your answer sheet. A sample grid is shown below each question, but your answer must be properly entered on the answer sheet to be scored. Write only one number or symbol in each box and fill in the circle in each column that matches what you have printed. Fill in only one circle in each column. 16 A farmer is enclosing a rectangular garden using one side of his barn. The farmer has 80 meters of fencing for the remaining 3 sides. The length will be longer than the width. This diagram shows the barn and the garden. What width, in meters, will result in the largest possible area for the rectangular garden? Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,. , -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal. DO NOT REPRODUCE 11 Go to the next page.  NC CHECK-IN 2 NC MATH 3—CALCULATOR ACTIVE 17 This shows an equation. 3x 3 + hx 2 + 16= 3x 2 − x + 1 + 15 x +1 x +1 What value for h will make the equation true if x ≠ –1? Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,. , -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal. 18 Tiffany is a member of the chess club. She won 75% of her first 32 games this year. How many games in a row does she need to win to have a winning percent of exactly 80%? Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,. , -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal. DO NOT REPRODUCE 12 Go to the next page.  NC CHECK-IN 2 NC MATH 3—CALCULATOR ACTIVE 19 A definition for a function, f, is shown. f (x) = 1 − 5 x − 3 (x − 3)(x + 2) Which choice describes x = 3 for this function? A a zero of f B a vertical asymptote of f C the location of a relative minimum of f D the location of a removable discontinuity of f DO NOT REPRODUCE 13 Go to the next page.  NC CHECK-IN 2 NC MATH 3—CALCULATOR ACTIVE 20 Janet is comparing the functions h(x) and g(x). This shows the graph for h(x). The function g(x) is defined as –x2 – 2x + 6. Question and answer choices A, B, C, and D are on the following page. DO NOT REPRODUCE 14 Go to the next page.  NC CHECK-IN 2 NC MATH 3—CALCULATOR ACTIVE Which statement is correct? A h(x) has a larger maximum value than g(x), and h(x) has a larger value at x = 3. B h(x) has a larger maximum value than g(x), and h(x) has a smaller value at x = 3. C h(x) has a smaller maximum value than g(x), and h(x) has a smaller value at x = 3. D h(x) has a smaller maximum value than g(x), and h(x) has a larger value at x = 3. DO NOT REPRODUCE 15 Go to the next page.  NC CHECK-IN 2 NC MATH 3—CALCULATOR ACTIVE 21 This shows a table for f(x). x f(x) 3 8.4 4 10.1 5 12.6 6 16.4 7 22.1 8 30.6 9 43.4 10 62.7 Which function has an average rate of change over the interval x = 5 to x = 8 that is closest to the rate of change of f(x) over the same interval? A g(x) = 0.8x 2 − 4 B h(x) = 1 x 3 6 C k(x) = 1.5 x + 3 D j(x) = 35log(x) DO NOT REPRODUCE 16 Go to the next page.  NC CHECK-IN 2 NC MATH 3—CALCULATOR ACTIVE 22 A circle is represented by the equation –20 = x2 + y2 + 8x – 6y. Which statement is true about the circle? A The center of the circle is located at (–4, 3), and the radius of the circle is about 2.2 units. B The center of the circle is located at (–8, 6), and the radius of the circle is about 2.2 units. C The center of the circle is located at (–4, 3), and the radius of the circle is 5 units. D The center of the circle is located at (–8, 6), and the radius of the circle is 5 units. DO NOT REPRODUCE 17 Go to the next page.  NC CHECK-IN 2 NC MATH 3—CALCULATOR ACTIVE 23 A track has the dimensions shown. The track has 8 lanes. Each lane is 1.2 meters wide. To the nearest tenth of a meter, what is the perimeter of the outside of the track? A 444.0 B 458.5 C 543.1 D 627.5 DO NOT REPRODUCE 18 Go to the next page.  NC CHECK-IN 2 NC MATH 3—CALCULATOR ACTIVE Questions 24 through 26 require you to write your answers in the boxes provided on your answer sheet. A sample grid is shown below each question, but your answer must be properly entered on the answer sheet to be scored. Write only one number or symbol in each box and fill in the circle in each column that matches what you have printed. Fill in only one circle in each column. 24 A function is shown. f (x) = x + 2 x − 3x − 10 2 At what positive x value does the function have a discontinuity? Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,. , -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal. 25 The equation of a circle is x2 + y2 – 4x – 6y + 5 = 0. What is the value of the y-coordinate of the circle’s center? Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,. , -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal. DO NOT REPRODUCE 19 Go to the next page.  NC CHECK-IN 2 NC MATH 3—CALCULATOR ACTIVE 26 A rectangular prism is made of stainless steel. The prism measures 15 cm long, 10 cm wide, and 2 cm high. The density of stainless steel is 7.9 g/cm3. What is the mass, in grams, of the prism? Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,. , -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal. DO NOT REPRODUCE 20 Go to the next page.