Exam 12: Appendix A: Basic Algebra Review

Factor the expression using integer coefficients:

Rewrite the expression with a positive rational exponent. Simplify, if possible: -

Simplify and express the answer using positive exponents only:

Indicate True (T) or False (F), and for each false statement find real number replacements for a, b, and c that will provide a counterexample. -a + b = b + a

Perform the indicated operation and reduce to lowest terms:

Simplify. The exponents in the answer should be positive integers: -

Factor by grouping:

Find the product: -

Indicate True (T) or False (F), and for each false statement find real number replacements for a, b, and c that will provide a counterexample. -a - b = b - a

Indicate True (T) or False (F), and for each false statement find real number replacements for a, b, and c that will provide a counterexample. -(a - b) - c = a - (b - c)

Write in the form + + , where a, b, and c are real numbers and p, q and r are integers.

Write 7.214 × in standard notation.

Factor, if possible, as the product of two first-degree polynomials with integer coefficients:

Simplify the expression: -

Solve by factoring:

Factor using integer coefficients:

Which polynomial can be factored using integer coefficients? Find its factored form.

Change to simplest radical form:

Perform the indicated operation and reduce to lowest terms:

Indicate True (T) or False (F) by each statement. -An integer is a rational number.