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Home Question Bank Math Algebra Archive 2025 January 28

Algebra Questions from Jan 28,2025

Browse the Algebra Q&A Archive for Jan 28,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Simplify each expression. \( \begin{array}{ll}\text { 1) } 10 x-8 x+2+10 & \text { 2) } 3 a+7+2(3+a) \\ \text { 3) } 3(m-5)+m & \text { 4) } 2 s+10-7 s-8+3 s-7 \\ 8 c-4-2 c+5 & \text { 6) } \\ \text { 5) } \\ \begin{array}{ll}\text { 8) } \\ 8\end{array}\end{array} \) 26. ERROR ANALYSIS Describe and correct the error in writing an equation of the line that passes through \( (4,-5) \) and is perpendicular to the line \( y=\frac{1}{3} x+5 \). \[ \begin{aligned} y-y_{1} & =m\left(x-x_{1}\right) \\ y-(-5) & =3(x-4) \\ y+5 & =3 x-12 \\ y & =3 x-17 \end{aligned} \] Solve the following system of equations. \[ \begin{array}{l}3 x+4 y=4 \\ 6 x+4 y=16\end{array} \] Factor the expression with the greatest common factor. * \( 16 \mathrm{~m}+4 \) Enter your answer with NO SPACES. Your answer (1) This is a required question Solve the following system of equations. \[ \begin{aligned} 2 x+4 y & =-8 \\ -2 x+3 y & =29\end{aligned} \] Solve the following system of equations. \[ \begin{array}{r}7 x+y=17 \\ -9 x-y=-21\end{array} \] Solve the following system of equations. \[ \begin{array}{l}4 x+2 y=8 \\ 4 x+3 y=16\end{array} \] 12) \( (2 a+b)^{2} \) 13) \( \left(\frac{1}{4}+\frac{1}{2}\right)^{2}-\left(7+\frac{1}{8}\right) \) 14) \( 3 x-5=x+15 \) 15) \( 51 a=2 \quad b=5 \quad c=-3 \) Hallar \( 2 a^{2}-3 b+c \) Solve the following system of equations. \[ \begin{array}{l}5 x+4 y=-2 \\ 3 x+4 y=10\end{array} \] \( \left.\begin{array}{lll}\text { 1) } 10 x-8 x+2+10 & \text { 2) } & 3 a+7+2(3+a) \\ \text { 3) } 3(m-5)+m & \text { 4) } & 2 s+10-7 s-8+3 s-7 \\ \text { 5) } 8 c-4-2 c+5 & \text { 6) } & -4+7 z+3-2 z\end{array} \right\rvert\, \)
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