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Home Question Bank Math Algebra Archive 2025 February 03

Algebra Questions from Feb 03,2025

Browse the Algebra Q&A Archive for Feb 03,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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\( f(n)=n^{3}-n \) \( g(n)=3 n+5 \) find \( (f-g)(n) \) \( 3 x-4 y=8 \) at is the first step to find the slope of the line? A. Solve the linear equation in \( x \) and \( y \) for \( y \) and get the resulting equation in th B. Multiply the equation by -1 . C. Divide both sides of the equation such that the coefficient of \( y \) is 1 . D. Find a point on the line. Add the following polynomials. \[ \begin{array}{r}x^{2}+9 x+2 \\ +\quad\left(3 x^{2}+8 x+3\right)\end{array} \] The sum is \( \square \). (Simplify your answer. Do not factor.) \begin{tabular}{l} Use the distributive procerty to rewrite the exprossion as a multiple of a sum of two numbers with no common tac \\ \( \qquad 10+36 \) \\ \hline\end{tabular} \( \left\lvert\, \begin{array}{l}\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{2-4}{-4-(1)} \\ \text { Simplify. } \\ \frac{2-4}{-4-(1)}=\frac{-2}{\square}=\frac{2}{\square} \\ \text { (Type an integer or a fraction.) }\end{array}\right. \) Solve for \( y \) \[ 12=4(y+5)-6 y \] Simplify your answer as much as possible. \( y=\llbracket] \) Find the degree of the polynomial and indicate whether the polynomial is a monomial, binomial, trinomial, \( 4 x^{2}+0.5 \) Classify the given polynomial. trinomial monomial binomial Fatoumata is blocking off several rooms in a hotel for guests coming to her wedding. The hotel can reserve small rooms that can hold 2 people, and large rooms that can hold 5 people. Fatoumata reserved twice as many small rooms as large rooms, which altogether can accommodate 63 guests. Write a system of equations that could be used to determine the number of small rooms reserved and the number of large rooms reserved. Define the variables that you use to write the system. Answer Attempt i out of 2 Let System of Equations: Solve for \( w \) \[ 24=5(w+4)-3 w \] Simplify your answer as much as possible. \begin{tabular}{|l|}\hline\( w=\square \) \\ \( \frac{\square}{\square} \) \\ \hline\end{tabular} \( \frac { s ^ { 7 } } { s ^ { 10 } } = \square \square \)
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