Cumulative Exam Answers

The function f(x) is shown on the graph.

What is the factored form of the polynomial?x2 − 15x + 36

Which is true about the completely simplified difference of the polynomials 6x6 − x3y4 − 5xy5 and 4x5y + 2x3y4 + 5xy5?

On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function to convert this temperature from degrees Fahrenheit to degrees Celsius. What does C(76.1) represent?

A polynomial is factored using algebra tiles.

On a coordinate plane, a curved line with minimum values of (negative 0.44, negative 4.3) and (3, negative 4), and a maximum value of (1.7, 0.7), crosses the x-axis at (negative 2.5, 0), (1.3, 0), (2, 0), and (3.44, 0), and crosses the y-axis at (0, negative 4).

Armando used algebra tiles to represent the product .

Which is equivalent to , and what type of special product is it?

What is the polynomial 3y2 + (y + 7)2 – 15 after it has been fully simplified and written in standard form?

Which of the following is the graph of f(x) = 3|x – 4| + 1?

What is the product?

Given the function f(x) = –5|x + 1| + 3, for what values of x is f(x) = –12?

Lisa and Jen are each reading a different 250-page book consisting of 10 chapters. Which statistics would be helpful in determining whose book shows the greater variability in the chapter length? Check all that apply.

Steve determined the number of states each of his friends has visited.Which statement must be true according to the box plot?

The scatterplot below was created from a table of values and represents the relationship between the number of seconds spent doing sit-ups and the number of sit-ups completed for some of the members of a physical education class. Assuming that none of the data points overlap and that all the data points were plotted, how many data points were in the table?

Clara writes the equation (x – 13)(x + 8) = 196 to solve for the missing side length of a rectangle represented by the factor x + 8. What is the missing side length represented by x + 8 units of the rectangle?

Sari is factoring the polynomial 2x2+5x+3. If one factor is (x+1), what is the other factor?

Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2x2 – 16) feet and (–x2 + 4x + 1) feet. Which expression represents the total perimeter of the table, and if x = 3, what is the length of the entire rubber bumper?

What are the solutions to the quadratic equation 4(x + 2)2 = 36

What is the difference of the two polynomials?(7y2 + 6xy) – (–2xy + 3)

What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)?

Which function has a vertex on the y-axis?

What is the factorization of 81a6 - 100?

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold.

The function f(x) is shown on the graph.