Unit 1 Test Answers

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?

Randy divides (2x4 – 3x3 – 3x2 + 7x – 3) by (x2 – 2x + 1) as shown below. What error does Randy make?

Which expression is equivalent to ?

Hassan writes an algebraic expression with four terms. The x-term has a coefficient of 2, and the z-term has a coefficient of -1. The expression has a constant term less than zero. Which expression could he have written?

What is the value of when ?

The area of a rectangle, A = l • w is represented by the expression . Which could be the dimensions of the rectangle?

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 product?

What is the difference of the polynomials?

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

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

Which expression is equivalent to ?

Which expression is equivalent to ?

What is the missing coefficient? =

Which expression is equivalent to ?

What is the simplified expression for ?

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?

What expression is equivalent to ?

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 simplified expression for ?