Unit 7 Review

1. What value of p satisfies the equation 

   4 - (-p - 1) + 2p = p + 9

   
   

The expression (x²)(x^-15)   is equivalent to xⁿ .What is the value of n?

A mail carrier delivers mail on one of two different routes: a morning route or an afternoon route. Each workday the mail carrier is assigned

one of these two routes.

• Last month the mail carrier delivered mail on the morning route 14 times and on the afternoon route 13 times, for a total distance traveled of 141 miles.

• This month the mail carrier delivered mail on the morning route 15 times and on the afternoon route 10 times, for a total distance traveled of 123.75 miles.

What is the distance of the morning route in miles?

• 6.95 miles

• 3.61 miles

• 7.00 miles

• 4 miles

Determine if the expressions are equivalent or not.  Select the correct answer in each row.

       

A sequence can be generated by using a_n = 5a_{n - 1}. where a₁ = 6  and n is a whole number greater than 1. What are the first four terms in the sequence?

• 6, 11, 17, 23

• 6, 30, 150, 750

• 6, 24, 145, 645

• 6, 24, 48, 96

Simplify the following radical expression:  √63

• 3√14

• 7√3

• 7√6

• 3√7

The area of a rectangle is  36x¹⁶ y⁹ square yards.  If the length of the rectangle is 6x² y³ which expression represents the width of the rectangle in yards?

• 30x¹⁴y⁶

• 6x⁸y³

• 42x¹⁹y¹²

• 6x¹⁴y⁶

• 1

• 0

• 3185