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Algebra Questions & Answers

Q:
\begin{tabular}{r|l} & \( \begin{array}{l}\text { The system has no solution. } \\ \text { System } \mathrm{B}\end{array} \) \\ \( \begin{aligned}-3 x+y=3 \\ 3 x-y=3\end{aligned} \) & \( \begin{array}{l} \text { The system has a unique solution: } \\ \text { The system has infinitely many solutions. } \\ \text { They must satisfy the following equation: } \\ y=\square\end{array} \)\end{tabular}
Q:
в) \( \sqrt{x}=7 \)
Q:
10. Use any method to solve the system: \( \left\{\begin{array}{l}x^{2}+y^{2}=9 \\ y=3-x^{2}\end{array}\right. \)
Q:
б) \( x^{2}-0,01=0,03 \)
Q:
: a) \( x^{2}=169 \)
Q:
\begin{tabular}{r|l} & \( \begin{array}{r}\text { The system has no solution. } \\ \text { System B } \\ 2 x+y=6\end{array} \) \\ \( \begin{aligned} \\ -2 x-y+6=0\end{aligned} \) & \( \begin{array}{r}\text { The system has a unique solution: } \\ \text { The system has infinitely many solutions. } \\ \text { They must satisfy the following equation: } \\ y=\square\end{array} \)\end{tabular}
Q:
A shop sells matching hats and scarves. The scarves cost 1.5 times as much as the hats. Write two patterns that could represent the costs of \( 1,2,3,4 \), and 5 hats and scarves. List the first 5 terms of each pattern. Then explain how to find the cost of 6 hats and scarves, using the patterns you wrote. Show your work.
Q:
System B \( 2 x+y=6 \) \( -2 x-y+6=0 \)
Q:
7. The equation for a tile pattern is \( y=\frac{2}{3} x+12 \). Find the total number of tiles for \( f(15) \) of this pattern.
Q:
\begin{tabular}{l|l} & The system has no solution. \\ System A \\ \( 4 x+y=4 \) \\ \( 4 x-y=4 \)\end{tabular} \left\lvert\, \( \begin{array}{l}(x, y)=(\square, \square) \\ \text { The system has a unique solution: } \\ \text { The system has infinitely many solutions. } \\ \text { They must satisfy the following equation: } \\ y=\square\end{array}\right. \)

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