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Algebra Questions & Answers

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Question 7. If \( y=4 x-4 \)
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a) \( (x-1) \cdot(2 x-3)= \) b) \( (2 x+3) \cdot(3 x-4)= \) c) \( (x+1) \cdot\left(x^{2}+x+1\right)= \) d) \( (2 x-1) \cdot\left(2 x^{2}-3 x+2\right)= \) e) \( (3 x+2) \cdot\left(x^{3}-2 x^{2}+1\right)= \)
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Charlene is building a rectangular fence. The length is 8 feet longer than the width The total perimeter of the rectangle is 76 feet. What is the length of the rectangle? 42 feet 15 feet 25 feet 23 feet
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A school needs 25 butterfly breeding kits, and places an order with an educational company. They already have 7 kits, and they receive a box with \( x \) kits, but they still need 3 more kits. Which of the following is an equation that you can use to find out how many kits are in the box? \( \begin{array}{c}x-3=25-7 \\ x+3=25-7 \\ x+3=25+7 \\ x-7=25+3\end{array} \)
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\( \begin{array}{ll}\text { a) }(x-1) \cdot(2 x-3)= & \text { a) }(5 x-4)(2 x-3)-5= \\ \text { b) }(2 x+3) \cdot(3 x-4)= & \text { b) } 3\left(x^{2}+5\right)-\left(x^{2}+40\right)= \\ \text { c) }(x+1) \cdot\left(x^{2}+x+1\right)= & \text { c) } x \cdot(5 x-4)-2 \cdot\left(x^{2}-x\right)= \\ \text { d) }(2 x-1) \cdot\left(2 x^{2}-3 x+2\right)= & \text { d) }(2 x+1) \cdot x^{2}-(x-1) \cdot x^{2}= \\ \text { e) }(3 x+2) \cdot\left(x^{3}-2 x^{2}+1\right)= & \text { e) }(2 x-3) \cdot(2 x+3)+4\left(x^{2}-2\right)=\end{array} \)
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\( 2(2 x-1)+10=9(1+x)-5 x \) \( x= \) all real numbers \( x=0 \) \( x=\frac{1}{8} \) There is no solution.
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Which of the following equations has the solution \( x= \) all real numbers? \( \begin{array}{l}2 x=2+2 x \\ 1+x=1-x \\ 1-x=1-x \\ x=x-1\end{array} \)
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6) \( 2 y+4=y-1 \quad \) slope:
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Rationalize and Simplify: \( \frac{5-\sqrt{7}}{3-\sqrt{2}} \)
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65. Un electricista ha finalizado tres reparaciones. En la pri- mera, ha utilizado la mitad del cable eléctrico que tenia dispo- nible; en la segunda, la sexta parte; en la tercera, la novena parte, y aún le quedan 18 m de cable. a) ¿De cuántos metros de cable disponia? b) ¿Cuántos metros de cable ha utilizado en cada reparación?

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