Cumulative Exam — Cumulative exam Answers

The table shows the approximate height of an object x seconds after the object was dropped. The function h(x) = –16x2 + 100 models the data in the table.

The price that a company charged for a computer accessory is given by the equation where x is the number of accessories that are produced, in millions. It costs the company $10 to make each accessory. The company currently produces 2 million accessories and makes a profit of 100 million dollars. What other number of accessories produced yields the same profit?

If y is a positive integer, for how many different values of y is a whole number?

Which equation is the inverse of y = 7x2 – 10?

The scatterplot shows the number of minutes spent reading (x) and the number of pages read (y) by each of seven students last night. Use the labeled points to create a linear model that predicts the number of pages that a typical student reads in x minutes. Which equation represents this linear model?

Which statement about the simplified binomial expansion of (a + b2)n, where n is a positive integer, is true?

The equations –a – 7b = 14 and –4a – 14b = 28 represent a system of linear equations. Which statement correctly explains how to eliminate the variable b when solving the system of equations?

A 47-foot-long piece of pipe is to be cut into three pieces. The second piece is three times as long as the first piece, and the third piece is two feet more than five times the length of the first piece. What is the length of the longest piece?

A basketball player’s free-throw percentage is the ratio of the number of successful shots made to the number of shots attempted. A basketball player has made 13 of the first 20 free throws she has attempted this season. Which rational expression can be used to find the free throw percentage for the season if she successfully makes her next x free-throw attempts?

Which equation is y = 3(x – 2)2 – (x – 5)2 rewritten in vertex form?

A rectangular prism with a volume of 400 cubic centimeters has the dimensions x + 1 centimeters, 2x centimeters, and x + 6 centimeters. The equation can be used to find x. What is the length of the longest side? Use a graphing calculator and a system of equations to find the answer.

The constraints of a problem are listed below. What are the vertices of the feasible region?

If , which inequality can be used to find the domain of f(x)?

What is the following product? Assume

Carlos graphs the equations and and generates the graph below. Which conclusion is supported by the graph?

Which is the simplified form of ? Assume .

Which equation is an example of the commutative property of multiplication?

If f(–5) = 0, what are all the factors of the function ? Use the Remainder Theorem.

The equation shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A, in astronomical units, AU. If planet Y is k times the mean distance from the sun as planet X, by what factor is the orbital period increased?

Which expression is a difference of cubes?