Exam 8: Appendix A: Basic Algebra Review

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Provide an appropriate response. -Which polynomial can be factored using integer coefficients? Find its factored form. I) Provide an appropriate response. -Which polynomial can be factored using integer coefficients? Find its factored form. I)   II)   III)   + 7x - 5 II) Provide an appropriate response. -Which polynomial can be factored using integer coefficients? Find its factored form. I)   II)   III)   + 7x - 5 III) Provide an appropriate response. -Which polynomial can be factored using integer coefficients? Find its factored form. I)   II)   III)   + 7x - 5 + 7x - 5

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

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Factor the GCF from the polynomial. -Factor the GCF from the polynomial. -

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

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

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Provide an appropriate response. -Factor the expression using integer coefficients: 24a Provide an appropriate response. -Factor the expression using integer coefficients: 24a

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Provide an appropriate response. -Factor using integer coefficients: Provide an appropriate response. -Factor using integer coefficients:

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Provide an appropriate response. -Express as a simple fraction reduced to lowest terms: Provide an appropriate response. -Express as a simple fraction reduced to lowest terms:

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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.

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

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

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

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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.

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

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

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Factor completely using grouping. -Factor completely using grouping. -

(Multiple Choice)
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Simplify the expression. -Simplify the expression. -

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

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