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Home Question Bank Math Algebra Archive 2025 January 31

Algebra Questions from Jan 31,2025

Browse the Algebra Q&A Archive for Jan 31,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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4i) Listen What is the -coordinate for the solution to the system of equations? Enter your answer as the correct value, like this: 42 1 \begin{tabular}{l} How can Ari simplify the following expression? \\ \begin{tabular}{|l|l|}\hline\( \frac{5}{a-3}-4 \) \\ \( 2+\frac{1}{a-3} \)\end{tabular} \\ \\ \\ \hline\end{tabular} Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the following equation, where is the number of hours it would take to clear the field together. How long will it take Ted and Jacob to clear the field together? 12 minutes \begin{tabular}{l} Which expression is equivalent to \( 144^{\frac{3}{2}} \) ? \\ \( \qquad 1,728 \) \\ \hline\( \sqrt[3]{12} \)\end{tabular} Which expression is equivalent to ? \begin{tabular}{l} Which expression is equivalent to the quotient? \\ \( \frac{\frac{m+3}{\frac{m}{2}-16}}{\frac{m^{2}-9}{m+4}} \) \\ \( \frac{m+3}{m+4} \) \\ \( \frac{1}{(m+4)(m+3)} \) \\ \hline\end{tabular} Which expression is equivalent to the quotient? What is the solution to the system of equations? Enter your answer as the correct ordered pair, like this: \begin{tabular}{l} Which expression is equivalent to the quotient? \\ \( \frac{\frac{m+3}{\frac{m}{2}-16}}{\frac{m^{2}-9}{m+4}} \) \\ \( \frac{m+3}{m+4} \) \\ \hline\( \frac{m-4}{m-3} \)\end{tabular} 9. Carly is solving quadratic equations by completing the square. She is solving the following problem, but is stuck at the next step. Fill in the next step for her.
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