Exam 12: Basic Algebra Review

Provide an appropriate response. -Indicate True (T) or False (F) by each statement. (A) Every real number is a natural number. (B) An irrational number is not a real number. (C) Every natural number is an integer. (D) An integer is a rational number.

Find the product. -(4x - 5y)(5x - 10y)

Simplify the expression by combining like terms, if possible. --7(3r + 8) + 7(2r + 5)

Provide an appropriate response. -Change to simplest radical form: (

Find the product. -

Provide an appropriate response. -

Provide an appropriate response. -Factor by grouping:

Provide an appropriate response. -Simplify and express using positive exponents:

Provide an appropriate response. -According to the 2000 U.S. census, the population of the United States on April 1, 2000 was approximately 281,422,000 (Source: www.census.gov). The population of the U.S. in 1900 was approximately 76,212,000. Write both population numbers in scientific notation and use these expressions to calculate the ratio of the population in 2000 to that in 1900. Express the ratio in standard decimal form to four decimal places.

Provide an appropriate response. -Simplify and express the answer using positive exponents only:

Provide an appropriate response. -Solve by factoring:

Provide an appropriate response. -Change to simplest radical form:

Provide an appropriate response. -Write in standard notation.

Factor completely using grouping. -

Provide an appropriate response. -Write with positive exponents only, and as a single fraction reduced to lowest terms.

Provide an appropriate response. -Perform the indicated operation and reduce to lowest terms:

Provide an appropriate response. -Write in simplest radical form:

Provide an appropriate response. -Convert the repeating decimal 0.454 545 . . . into a reduced fraction.

Provide an appropriate response. -Combine into a single fraction and simplify:

Provide an appropriate response. -