Exam 12: Appendix A: Basic Algebra Review

Change to simplest radical form:

Simplify and express the answer using positive exponents:

Change to simplest radical form:

Simplify and express using positive exponents:

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

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.

Use the square root property to solve the equation: -(x + 3)² = 12

Find the product: --3( 10r + 2) + 5( 2r + 3)

Given the sets N, Z, Q, and R, indicate to which set(s) each of the following numbers belong. (A) (B) e (C) -2 (D) 8

Factor the GCF from the polynomial: -

Simplify and express using positive exponents:

Indicate True (T) or False (F) by each statement. -Every real number is a natural number.

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 simplest radical form:

Factor completely using grouping: -18y² + 81y - 45

Indicate True (T) or False (F) by each statement. -Every natural number is an integer.

Combine into a single fraction and simplify:

Find the product: -( 3x + 12y)( 5x + 8y)

Indicate True (T) or False (F) by each statement. -An irrational number is not a real number.

Use the quadratic formula to solve the equation: -x² + 18x + 71 = 0