Unit Test — Unit test Answers

A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2a inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?

What is the quotient of (x3 – 3x2 + 3x – 2) ÷ (x2 – x + 1)?

If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to ?

Which statement about the simplified binomial expansion of (a – b)n, where a, b and n are positive integers, is true?

What is the product?

What is the fifth term in the binomial expansion of (x + 5)8?

Which function has an inverse that is also a function?

Which expression is equivalent to ?

If c(x) = 4x – 2 and d(x) = x2 + 5x, what is ?

If , what is ?

If and , what is the domain of ?

Vanessa uses the expressions (3x2 + 5x + 10) and (x2 – 3x – 1) to represent the length and width of her patio. Which expression represents the area (lw) of Vanessa’s patio?

If f(x) = 7 + 4x and , what is the value of ?

What is the completely factored form of x2 – 16xy + 64y2?

What is the remainder when (x4 + 36) is divided by (x2 – 8)?

Which statement about –2h2 – 15h – 7 is true?

The volume of a cylinder is given by the formula , where r is the radius of the cylinder and h is the height. Suppose a cylindrical can has radius (x + 8) and height (2x + 3). Which expression represents the volume of the can?

The volume of a rectangular prism is (x4 + 4x3 + 3x2 + 8x + 4), and the area of its base is (x3 + 3x2 + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?

What is the completely factored form of p4 – 16?

The graph of f(x) is shown below.If f(x) and its inverse function, , are both plotted on the same coordinate plane, where is their point of intersection?