Unit 1 Test Answers

Which expression is equivalent to ?

What is the remainder when (3x3 – 2x2 + 4x – 3) is divided by (x2 + 3x + 3)?

Which expression is equivalent to ?

What is the value of for and ?

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

Miguel’s steps in evaluating an expression are given below. Step 1: Step 2: Step 3: Step 4: What, if any, was Miguel’s mistake?

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

Holly finds that (11m – 13n + 6mn) – (10m – 7n + 3mn) = m – 20n + 9mn. What error did Holly make?

What is the coefficient of the x2-term of the algebraic expression ?

The length of a rectangular field is represented by the expression . The width of the field is represented by the expression . How much greater is the length of the field than the width?

Which expression is equivalent to ?

What is the most simplified expression for ?

Dylan uses the expressions (x2 – 2x + 8) and (2x2 + 5x – 7) to represent the length and width of his bedroom. Which expression represents the area (lw) of Dylan’s room?

Which expression is equivalent to ?

The area of a rectangle is (x3 – 5x2 + 3x – 15), and the width of the rectangle is (x2 + 3). If area = length × width, what is the length of the rectangle?