Questions

For the first eight problems, evaluate each expression, if possible.

1) Evaluate.

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2) Evaluate.

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3) Evaluate.

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4) Evaluate.

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5) Evaluate.

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6) Evaluate.

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7) Evaluate.

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8) Evaluate.

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For the next nine problems, simplify using positive exponents. State the letter of the correct answer.

9) Simplify.

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10) Simplify.

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11) Simplify.

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12) Simplify.

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13) Simplify.

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14) Simplify.

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15) Simplify.

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16) Simplify.

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17) Simplify.

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For the next three problems, multiply and express the answers using positive exponents. State the letter of the correct answer.

18) Multiply and express the answer using positive exponents.

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19) Multiply and express the answer using positive exponents.

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20) Multiply and express the answer using positive exponents.

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For the next three problems, change each to radical form. Do not simplify. State the letter of the correct answer.

21) Change to radical form.

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22) Change to radical form.

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23) Change to radical form.

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For the next three problems, change each into rational exponent form. Do not simplify. State the letter of the correct answer.

24) Change into rational exponent form.

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25) Change into rational exponent form.

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26) Change into rational exponent form.

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For the next four problems, express in simplified form. State the letter of the correct answer.

27) Simplify.

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28) Simplify.

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29) Simplify.

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30) Simplify.

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For the next two problems, rationalize the denominator and express in simplified form. State the letter of the correct answer.

31) Rationalize the denominator and express the answer in simplified form.

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32) Rationalize the denominator and express the answer in simplified form.

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33) R.A. Moyer of Iowa State College found by testing 41 wet pavements, that the breaking distance d (in feet) for an auto traveling at v miles per hour was approximated by the below equation. Approximate the breaking distance to the nearest foot for the car traveling 65 miles per hour.

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34) The number of units N produced by a petroleum company from the use of x units of capital and y units of labor is approximated by the below equation. Estimate the number of units produced by using 2500 units of capital and 400 units of labor.

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