Cumulative Exam — Cumulative exam Answers

What is the vertex of the graph of y = 3x2 + 2x + 1?

Wren recorded an outside temperature of –2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x represents the time and y represents the temperature in degrees Fahrenheit, what is the slope of the line through these two data points?

Graph the following pair of quadratic functions and describe any similarities/differences observed in the graphs. a. f opens upward with a y-intercept at (2, 0); h opens downward with a y-intercept at (-2, 0) b. f opens downward with a y-intercept at (0, -2); h opens upward with a y-intercept at (0, 2) c. f opens downward with a y-intercept at (0, 2); h opens upward with a y-intercept at (0, -2) d. f opens upward with a y-intercept at (0, 2); h opens downward with a y-intercept at (0, -2) Please select the best answer from the choices provided

Ali graphs the function f(x) = –(x + 2)2 – 1 as shown.

Complete the following table using the equation: x -2 -1 0 1 2 y Plot the points on a graph and determine which graph best represents the equation. Graph A Graph B a. 8, 2, 0, 2, 8; Graph A b. -8, -2, 0, -2, -8; Graph A c. 8, 2, 0, 2, 8; Graph B d. -8, -2, 0, -2, -8; Graph B 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 number of days the AQI exceeds 100 in a given year is modeled by the following quadratic regression equation: Let n represent the number of days the AQI exceeds 100 in a given year. Approximately how many days did the AQI exceed 100 in the year 1988? Round to the nearest whole day. (Let t represent the number of years since 1990. Therefore, t = 0 corresponds to the year 1990.) a. 60 days b. 75 days c. 61 days d. 21 days Please select the best answer from the choices provided

Which graph represents the same relation as the rule y = 2x, for all real numbers x?

Luis solves the following system of equations by elimination.What is the value of s in the solution of the system?

Which method correctly solves the equation using the multiplication property of equality and the reciprocal of ?

A new coffee shop can hold no more than 50 seats. The owner wants at least 20 of the seats to be stools and the remaining seats to be recliners. If x is the number of stools and y is the number of recliners, which graph represents the solution to the system of inequalities? x + y ≤ 50x ≥ 20

Which graph shows the solution to the system of linear inequalities?2x – 3y <12y < –3

When a number is added to of itself, the result is 24. The equation that models this problem is n + n = 24. What is the value n?

Use the given equation to complete the table: t (sec) s(ft) 0 1 2 3 Using the points from the table select the graph that best represents the equation. Graph A Graph B a. 0, 16, 64, 144; Graph A b. 0, 4, 8, 12; Graph A c. 0, 16, 64, 144; Graph B d. 0, 4, 8, 12; Graph B Please select the best answer from the choices provided

Ray was in charge of filling the soccer team’s water jug for practice. At the beginning of practice he filled the jug. Halfway through practice the team took a water break. After the break Ray refilled the jug so the players could have water after practice. At the end of practice Ray drained the jug. Which graph could represent the level of the water in the jug during and after practice?

The scatterplot contains data points, pairing number of minutes spent typing (x) with total number of words typed (y).

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 0 -4 0 down (0,0) Table B a b c up or down y-intercept 0 0 -4 down (0,-4) Table C a b c up or down y-intercept -4 0 0 down (0,0) Table D a b c up or down y-intercept -4 0 0 up (0,-4) a. Table A c. Table C b. Table B d. Table D Please select the best answer from the choices provided

The graph of which function has a minimum located at (4, –3)?

The table represents a function.

Tarriq begins to solve the equation 50 + 2x = –190.50 + 2x = –19050 – 50 + 2x = –190 – 502x = –240

Consider the function f(x) = |x|. Let g(x) = |–4(x – 7)|.Which shows the graphs of f(x) and g(x)?