Cumulative Exam — Cumulative exam Answers

Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x – 40? Determine the solution set algebraically.

Use the graphing calculator to graph the quadratic function y = x2 − 5x − 36. Which value is a solution of 0 = x2 − 5x − 36?

What is the axis of symmetry of h(x) = –2x2 + 12x – 3?

Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?

Shenika factored the polynomial completely. What is the value of A?5x3+35x2+6x+42(5x2+A)(x+B)

Half of the product of two consecutive numbers is 105. Which equation can be used to solve for n, the smaller of the two numbers?

The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represents the resale value of the textbook after x owners?

64, –48, 36, –27, ...

Which term can be added to the list so that the greatest common factor of the three terms is 12h3?36h3, 12h6, __________

The diagram represents the polynomial 4x2 + 23x – 72.

The quadratic model f(x) = –5x2 + 200 represents the approximate height, in meters, of a ball x seconds after being dropped. The ball is 50 meters from the ground after about how many seconds?

The histogram shows the weights, in pounds, of checked luggage on a flight.

What is the vertex of the function f(x) = x2 + 12x?

Which best describes the range of the function f(x) = 2(3)x?

Maria gathered the data in the table. She finds the line of best fit to be y = 2.78x – 4.4.

The minimum of the graph of a quadratic function is located at (–1, 2). The point (2, 20) is also on the parabola. Which function represents the situation?

Mr. Walker is looking at the fundraiser totals for the last five years.

The graph shows the function f(x) = (2.5)x was horizontally translated left by a value of h to get the function g(x) = (2.5)x–h.

Which is the best description of the graph of the function f(x) = 60()x?