Topic Test Answers

The data set represents a progression of hourly temperature measurements. Use a graphing calculator to determine the quadratic regression equation for this data set. Round all coefficients to the nearest thousandth. x 0 1 2 3 4 5 y 20 16 10 0 -7 -20 Which equation best represents the quadratic regression model for this data? a. c. b. d.

For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation: Table A a b c up or down y-intercept 1 -6 0 up (0,0) Table B a b c up or down y-intercept 1 0 0 up (0,-6) Table C a b c up or down y-intercept 1 6 0 up (0,0) Table D a b c up or down y-intercept 1 -6 0 down (0,0) a. Table A c. Table C b. Table B d. Table D Please select the best answer from the choices provided

Solve equation by using the quadratic formula. a. c. b. d. Please select the best answer from the choices provided

Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range. a. D: all real numbers R: (y 8.75) c. D: all real numbers R: (y 8.75) b. D: (x 0) R: (y 0) d. D: all real numbers R: (y -8.75) Please select the best answer from the choices provided

Solve the following equation algebraically: a. b. c. d. Please select the best answer from the choices provided

Solve the quadratic equation graphically using at least two different approaches. When necessary, give your solutions to the nearest hundredth. a. x = -1.1 or x = -1 c. x = 0.10 or x = -3 b. x = 1.82 or x = -0.82 d. x = 0 or x = -6.3 Please select the best answer from the choices provided

Make a scatter plot of the data below. Speed (mph) Stopping distance (ft) 10 12.5 20 36.0 30 69.5 40 114.0 50 169.5 60 249.0 70 325.5 Using the quadratic regression equation predict what your stopping distance would be if you were going 80 miles per hour. a. 363.2 ft b. 412.8 ft c. 355.2 ft d. 33.6 ft Please select the best answer from the choices provided

Solve the following inequality using both the graphical and algebraic approach: Graph A Graph B a. Graph A b. Graph A c. Graph B d. Graph B Please select the best answer from the choices provided

From the equation, find the axis of symmetry of the parabola. a. c. b. d. Please select the best answer from the choices provided

Solve the quadratic equation numerically (using tables of x- and y- values).x(x + 6) = 0a.x = -1 or x = 3c.x = 0 or x = -3b.x = 0 or x = 6d.x =0 or x = -6

Solve equation by using the quadratic formula. a. c. b. d. Please select the best answer from the choices provided

Life expectancy in the U.S. is steadily increasing due to medical advancements and the increased awareness of maintaining a healthy lifestyle. The life expectancies for men and women in the U.S. can be modeled by the following functions: where W(x) represents the life expectancy for women and M(x) represents the life expectancy for men, and x represents the number of years since 1975. (x = 0 corresponds to the year 1975, x = 5 corresponds to the year 1980 and so on.) Write an inequality that represents in what years the life expectancy of men is greater than that of women. a. b. c. d. Please select the best answer from the choices provided

Predict what the graph of the following quadratic function will look like. (If you have a graphing calculator, you can use it to verify your prediction.) a. -shaped; y-intercept (0, 1); symmetrical with respect to the y-axis b. -shaped; y-intercept (0, 1); symmetrical with respect to the y-axis c. -shaped; y-intercept (1, 0); assymmetrical with respect to the y-axis d. -shaped; y-intercept (1, 0); assymmetrical with respect to the y-axis Please select the best answer from the choices provided

Solve the following equation by first writing the equation in the form : a. b. c. d. Please select the best answer from the choices provided

Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation. a. (-0.5, -4) c. (-0.5, -4.25) b. (0.5, -4.25) d. (0.5, -3.75) Please select the best answer from the choices provided

Solve the quadratic equation numerically (using tables of x- and y- values). a. x = -1 or x = -1 c. x = -3 or x = -3 b. x = -4 or x = -3 d. x = 2 or x = -1 Please select the best answer from the choices provided

Find the domain and range of the function below. y = 3x2 - 6x + 5 a. D: all real numbers R: (y ≥ 2) c. D: (x ≥ 2)R: all real numbers b. D: all real numbersR: (y ≤ 2) d. D: all real numbers R: all real numbers

Solve equation by using the quadratic formula. a. c. b. d. Please select the best answer from the choices provided

The Air Quality Index, or AQI, measures how polluted the air is in your city and assigns a number based on the quality of the air. Over 100 is "Unhealthy". The following quadratic regression equation, models the AQI over time, where n represents the number of days the AQI exceeded 100, and t represents the number of years since 1990. Estimate the number of days the AQI exceeded 100 in the year 2002. Round to the nearest whole day. (Hint: t = 0 corresponds to the year 1990.) a. 281 days b. 97 days c. 135 days d. 52 days Please select the best answer from the choices provided

Grace is planning a move to a different city. She contacts two local rental companies and obtains the following information for the one-day cost of renting a truck: Company A: $40.95 per day plus $0.19 per mile Company B: $19.95 per day plus $0.49 per mile Let n represent the total number of miles driven in one day. Write an inequality that can be used to determine for what number of miles it is less expensive to rent the truck from Company B. a. b. c. d. Please select the best answer from the choices provided