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Home Question Bank Math Algebra Archive 2025 January 29

Algebra Questions from Jan 29,2025

Browse the Algebra Q&A Archive for Jan 29,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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\[ \text{Find } 2011^2 - 2010^2 \text{?} \] Solve for \( y \). \[ \begin{array}{l}x+y=6 \\ x=2\end{array} \] Simplify your answer as much as possible. Which expression is NOT equivalent to \( \frac{8 g+16}{2} ? \) \[ \begin{array}{l}\text { E. } 4 g+8 \\ \text { F. } 4 g+2 \\ \text { G. } 4 \cdot(g+2)\end{array} \] (c) The standard form of an equation of a line is \( \square \), where \( A \) and \( B \) are not both zero and \( C \) is a constant. (d) Given a point \( \left(x_{1}, y_{1}\right) \) on a line with slope \( m \), the point-slope formula is given by \( \square \). Which expression is equivalent to \( \frac{21 y-15}{3} \) ? \( \begin{array}{l}\text { A. } 21 y-5 \\ \text { B. } 7 y-15 \\ \text { C. } 21 y-12\end{array} \) 8. Sally purchased 10 school supply items for a total of \( \$ 25 \). If the pencils cost \( \$ 2 \) per pack and notebooks cost \( \$ 4 \) each. How many of each did Sally buy? Lucia bought a table and some chairs at a furniture store. The equation that models this situation is \( y=40 x+55 \), where \( y \) is the amount of money she spent and \( x \) is the number of chairs she bought. What does the \( y \)-intercept mean in this situation? A. She paid \( \$ 40 \) for the table. B. She paid \( \$ 55 \) for the table. C. She paid \( \$ 40 \) for each chair. D. She paid \( \$ 55 \) for each chair. Factor \( 1-k^{3} \) completely Here is a system of equations. \[ \left\{\begin{array}{l}y=x+6 \\ y=x+5\end{array}\right. \] Graph the system. Then write its solution. Note that you can also answ
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