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Home Question Bank Math Algebra Archive 2025 February 10

Algebra Questions from Feb 10,2025

Browse the Algebra Q&A Archive for Feb 10,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Lesuelva \( -4 x-5=11 \) \( --7-11 x \) F7. On donne deux termes du carre d'un binome. Trouvez le troisieme : \( \begin{array}{lll}\text { a) } x^{2}+4 x+\ldots & -10 x+1+\ldots & 4 x^{2}+a^{2}-\ldots \\ \text { b) } 16+x^{2}+\ldots & m^{2}+2 m n \ldots & 4 a^{2}+12 a b \ldots \\ \text { c) } p^{2}-8 p \ldots & x^{2}+p x \ldots & 25 m^{2}-40 m n \ldots \\ \text { d) } 1+4 x^{2} \ldots & 1-2 m \ldots & 4 a^{2} x^{2}+4 a b x \ldots \\ \text { e) } 9 y^{2}+6 y \ldots & 4 y^{2}+20 y \ldots & 9 m^{2}+12 m n \ldots \\ \text { f) } x^{2}+4 y^{2} \ldots & 4 c^{2}+a^{2} \ldots & 16 a^{2}-16 a b \ldots\end{array} \) 2.) \( \frac{3}{2} x^{2}-5 \) True or False? \begin{tabular}{|l|l}\hline Equations have an equal sign, but expressions do not. & \( \begin{array}{l}\text { O True } \\ \text { O False }\end{array} \) \\ \hline\end{tabular} There are 26 students in your class. There are 4 more girls than boys. Use a system of linear equations to find how many boys are in your class. How many girls are in your class? f) \( \left(3 y+\frac{1}{5}\right)\left(3 y-\frac{1}{5}\right) \) c) \( (x-y)(x y+y) \) c) \( (x-y)(x y+y) \) Solve for \( v \). Your answer is incorrect. \( 46=-\frac{v}{3} \) \[ v=\square \] 5. A gas station sells a total of 4500 gallons of regular gas and premium gas in one day. The ratio of gallons of regular gas sold to gallons of premium gas sold is \( 7: 2 \). a. Write a system of linear equations that represents this situation. b. How many gallons sold were regular gas? premium gas?
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