Can someone do this Algebra assignment

Algebra

***Answer all 32 exercises below and show all work typed in this word document***

Please do not submit answers hand written, the work and answers need to be typed.

1. Let set A = . List all the elements of A that belong to the set of rational numbers.

1. Evaluate each expression.

1. Evaluate each expression for p = –4, q = 8, and r = –10.

1. Use the distributive property to rewrite the sum as a product.

1. Let x = –4 and y = 2. Evaluate each expression.

1. Simplify the expression. Assume variables represent nonzero real numbers.

1. Identify the expression as a polynomial or not a polynomial. If a polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these.

8. Find the sum or difference.

1. Find the product.
   

1. Find the product.
   

1. Perform the indicated operations.

1. Perform the indicated operation.

1. Factor out the greatest common factor for each polynomial.

1. Factor the polynomial by grouping.

1. Factor each trinomial, if possible.

1. Factor each polynomial.

a.

b.

1. Factor each polynomial by substitution.

1. Factor by any method.

1. Find the domain of the rational expression.]

1. Write the rational expression in lowest terms.

1. Find the product or quotient.

1. Perform each addition or subtraction.

   1. 

1. Simplify the expression.
   

1. (Modeling) Distance from the Origin of the Nile River. [2 points]

The Nile River in Africa is about 4000 mi long. The Nile begins as an outlet of Lake Victoria at an altitude of 7000 ft above sea level and empties into the Mediterranean Sea at sea level (0 ft). The distance from its origin in thousands of miles is related to its height above sea level in thousands of feet (x) by the following expression.

For example, when the river is at an altitude of 600 ft, x = 0.6 (thousand), and the instance from its origin is

, which represents 3000 mi.

(Source: World Almanac and Book of Facts.)

What is the distance from the origin of the Nile when the river has an altitude of 1200 ft?

1. Match the following expression with its equivalent expression, (a)–(h)

1. 1. b.

1. d.

1. f.

1. h.

1. Perform the indicated operations. Write each answer using only positive exponents. Assume all variables represent positive real numbers.

1. Find the product. Assume all variables represent positive real numbers.

1. Factor, using the given common factor. Assume all variables represent positive real numbers.

1. If the expression is in exponential form, write it in radical form. If it is in radical form, write it in exponential form. Assume all variables represent positive real numbers.

1. Simplify each expression. Assume all variables represent positive real numbers.

1. Simplify each expression. Assume all variables represent positive real numbers.

1. Rationalize the denominator of the radical expression. Assume all variables represent nonnegative numbers and that no denominators are 0.

WA 1, p. 8