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Pre Algebra Questions & Answers

Q:
3) Evaluate without a calculator. Show your work. \( \begin{array}{ll}\text { a) } \log _{2} 16 & \text { b) } \log _{3} 81\end{array} \)
Q:
Multiple Choice 10 points Describe the transformation from the parent graph of \( y=x^{2} \) to the graph of \( y=\frac{1}{3} x^{2}-5 \). Shrink (compress) by -5 and shift up 1 and right 3 units Stretch by \( \frac{1}{3} \) and shift left 5 units Stretch by -5 and shift up 1 and right 3 units Shrink (compress) by \( \frac{1}{3} \) and shift down 5 units
Q:
A school survey asked the students what their favorite school lunch entrée was. The tape diagram represents the ratio of two of the responses. Sixty-six students said their favorite school lunch entrée was a hamburger. How many said pizza?
Q:
Rewrite the exponential expression as a radical expression. \[ 6^{1 / 3} \]
Q:
In a downhill race, Larissa's cart traveled at an average speed of \( \frac{2}{5} \) miles per minute. Solve the following equation for the missing value to determine the average speed of her cart in miles per hour. \[ \frac{\frac{2}{5} \mathrm{mi}}{\mathrm{min}}=\frac{\square \mathrm{mi}}{\mathrm{hr}} \]
Q:
Simplify. (If the solution is not a real number, enter NOT REAL.) \[ \left(\frac{25}{4}\right)^{-3 / 2} \]
Q:
Simplify. (If the solution is not a real number, enter NOT REAL.) \( 8^{-1 / 3} \)
Q:
Simplify. (If the solution is not a real number, enter NOT REAL \[ 32^{2 / 5} \]
Q:
Simplify. (If the solution is not a real number, enter NOT REAL.) \( 88^{-1 / 3} \)
Q:
m) \( \sqrt[3]{81} \div \sqrt[3]{3}= \)

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