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Home Question Bank Math Algebra Archive 2025 January 09

Algebra Questions from Jan 09,2025

Browse the Algebra Q&A Archive for Jan 09,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Solve the proportion. Use the cross products property. \( \begin{array}{lll}\text { 9. } \frac{3 x}{10}=\frac{9}{4} & \text { 10. } \frac{5 x}{3}=\frac{80}{12} & \frac{2 x}{9}=\frac{4}{5} \\ \text { Steps: } & \text { Steps: } & \text { Steps: } \\ x= & x= & x=\end{array} \) Multiple heasably \( \left(2 x^{2}-x-3\right)\left(2 x^{2}-3 a+4\right) \) 17) \( -x^{2}+14 x-49 \) Which of the following expressions are equivalent to \( 7 \times 7 \times 7 \times 7 \) ? Select all that apply. \( \square \) A) \( 4^{7} \) \( \square \) B) \( 7^{4} \) \( \square \) C) \( 7^{7} \) \( \square \) D) 28 E) 2,401 F) 16,384 Divide and, if possible, simplify. \( \frac{w^{2}-6 w+9}{3 w^{2}-2 w-33} \div \frac{2 w^{2}-5 w-3}{w^{2}-5 w-24} \) 1.2 What is the value of the tenth term? 1.3 Which term has a value of 268 ? 2 The \( 11 t^{3} \) term of an arithmetic sequence is 57 and the sum of the first and fourth terms is 29. 2.1 Determine the first three terms of the sequence. 2.2 Determine a formula for the \( n^{\text {th }} \) term. 23 Is 100 a term in the sequence? Justify your answer. 3 The sum of the second and sixth terms of an arithmetic sequence is 4 . The third term is 24 more than the \( 11 t^{3} \) term. 3. 1 Determine the first three terms in the sequence. 3.2 Determine a formula for the \( n \rightarrow \) term of the sequence. 3.3 Determine the \( 17^{\text {th }} \) term in the sequence. 3.4 Is -72 a term in the sequence? Justify your answer. Suma y resta de polinomios \( \left(3 x^{2}-5 * 1\right)+\left(2 x^{2}+3 x-4\right) \) Simplify \( \begin{array}{l}2 x+5+x \\ \text { (.) A. } 2 x+7 \\ \text { B. } 2 x^{2}+5 \\ \text { () C. } 3 x+5 \\ \text { (D. } 8 x\end{array} \) Simplify the following expression completely: \( w^{13} \cdot w^{11} \) Use algebra to solve for \( x \) in the equation \( 2 x+7=5 x+2 \). If your answer is a fraction, write it in reduced, fractional form. Do NOT convert the answer to a decimal. \( x=\square \)
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