Exam 8: Appendix A: Basic Algebra Review
Exam 1: Functions and Graphs71 Questions
Exam 2: Limits and the Derivative188 Questions
Exam 3: Additional Derivative Topics98 Questions
Exam 4: Graphing and Optimization126 Questions
Exam 5: Integration38 Questions
Exam 7: Multivariable Calculus92 Questions
Exam 8: Appendix A: Basic Algebra Review44 Questions
Exam 9: Appendix B: Special Topics Online at Googlmjbxrg20 Questions
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-Which polynomial can be factored using integer coefficients? Find its factored form.
I)
II)
III)
+ 7x - 5



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-Perform the indicated operation and reduce to lowest terms: t terms: 

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-Combine into a single fraction and simplify: 

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-Factor the expression using integer coefficients: 24a 

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-Express as a simple fraction reduced to lowest terms: 

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-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.
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Use the quadratic formula to solve the equation.
-
+ 10x + 15 = 0

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-Perform the indicated operation and reduce to lowest terms: t terms: 

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-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.
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-Write
in the formaxp + bxq + cxr, where a, b, and c are real numbers and p, q and are integers.

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-Each ounce of food A contains 4 units of calcium, and each ounce of food B contains 7 units of calcium. A 150
ounce diet mix is formed using foods A and B. If x is the number of ounces of food A used, write an algebraic
expression that represents the total number of units of calcium in the diet mix. Simplify the expression.
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-Change to simplest radical form: m: 

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-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) a - b = b - a
(B) (a - b) - c = a - (b - c)
(C) a + b = b + a
(D) (a · b) · c = a · (b · c)
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-Convert the repeating decimal 0.454 545 . . . into a reduced fraction.
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