CUMULATIVE EXAM

Which expression is equivalent to mc014-1.jpg?

B. mc014-3.jpg

Fernando makes 5% of his sales plus $250 each week. For each holiday, he is paid $35. This month there are four weeks and one holiday. If Fernando has $4,000 in sales each week, how much will he be paid for this month?

$1,835.00

What is the completely factored form of 12xy - 9x - 8y + 6?

(3x - 2)(4y - 3)

If f(x) = -2x3, g(x) = 3x - 5, and h(x) = x - 1, what is f(g(h(3)))?

-2

What are the roots of the polynomial equation mc013-1.jpg? Use a graphing calculator and a system of equations

-4, -2, 3

Subtract 15mn - 22m +2n from 14mn - 12m +7n.

-mn + 10m + 5n

The price that a company charged for a computer accessory is given by the equation mc013-1.jpg 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 approximately the same profit?

1.45 Million

A rectangular prism with a volume of 400 cubic centimeters has the dimensions x + 1 centimeters, 2x centimeters, and x + 6 centimeters. The equation mc026-1.jpg 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.

10 centimeters

The side length, s, of a cube is 3x + 2y. If V = s3, what is the volume of the cube?

27x3 + 54x2y + 36xy2 + 8y3

What is the quotient (2x4 - 3x3 - 3x2 + 7x - 3) ÷ (x2 - 2x + 1)?

2x^2 + x -3

Which of the following could be the graph of y = -xn where n is odd?

A

A small cube with side length 6y is placed inside a larger cube with side length mc026-1.jpg. What is the difference in the volume of the cubes?

A. mc026-2.jpg

Which expression is equivalent to mc022-1.jpg?

C. mc022-4.jpg

The president of a company creates a graph of the price of the company's stock over one year. He describes the graph as follows: • The price of the stock rose to about $17 before falling to about $4. • There have only been two periods during which the price of the stock decreased. • The price of the stock is expected to increase in the long run. Which graph correctly shows the price of the stock?

D

Parker simplified the expression mc026-1.jpg as shown below. Which statement best describes Parker's error? mc026-2.jpg mc026-3.jpg mc026-4.jpg mc026-5.jpg mc026-6.jpg

He distributed -5 incorrectly.

Which statement about the polynomial function g(x) is true?

If the leading coefficient of g(x) is 1, all rational roots of g(x) = 0 must be integers.

Which statement best describes the polynomial? mc022-1.jpg

It is not in standard form because the exponents are not in order from highest to lowest.

Which statement describes the graph of this polynomial function? mc013-1.jpg

The graph crosses the x axis at x = -2 and x = 1 and touches the x axis at x = 0.

Which statement best compares the graphs of y = -3xn and y = 3xn?

The graph of mc022-3.jpg is the reflection of the graph of mc022-4.jpg about the x axis.

Which polynomial function could be represented by the graph below? mc022-1.jpg Deep swoop in the middle

f(x) = 2x2 + 2x - 4

Which second degree polynomial function f(x) has a lead coefficient of 3 and roots 4 and 1?

f(x) = 3x2 - 15x + 12

Which polynomial function has x intercepts -1, 0, and 2 and passes through the point (1, -6)?

f(x) = 3x3 - 3x2 - 6x

The formula for the volume of a cylinder with a height of 5 units is mc026-1.jpgwhere r is the radius of the cylinder. In which quadrant(s) is the graph of this function V(r)?

quadrant I

What is the correct order of operations for simplifying the expression mc022-1.jpg?

square the binomial (x + 3), distribute the negative to the binomial (x2 + 9), simplify the dividend, and then divide

What are the solutions of the equation x4 - 5x2 - 36 = 0? Use factoring to solve.

x = ±2i and x = ±3