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Algebra Questions & Answers

Q:
30. \( c^{-4} \) 32. \( (-3 x)^{-1} \) 34. \( \left(m^{2} n^{3}\right)^{-2} \) 36. \( \frac{t^{7}}{t^{10}} \) 38. \( \frac{\left(b^{3}\right)^{4}}{\left(b^{5}\right)^{4}} \) 40. \( \frac{x^{12} x^{-7}}{x^{3} x^{4}} \) 42. \( \frac{b^{0} b^{3}}{b^{-3} b^{4}} \) 44. \( \left(c^{2} d^{3}\right)^{-2} \) 46. \( \left(-x y^{2}\right)^{-4} \) 48. \( \left(y^{-2} y\right)^{3} \)
Q:
1. Resolva as equações em \( z \) : a) \( 6 x=2 x+16 \) b) \( 2 x-5=x+1 \) c) \( 2 x+3=x+4 \) d) \( 5 x+7=4 x+10 \) e) \( 4 x-10=2 x+2 \) f) \( 4 x-7=8 x-2 \) g) \( 2 x+1=4 x-7 \) h) \( 9 x+9+3 x=15 \)
Q:
Solve by eliminating method \( x_{1}+x_{2}+x_{3}=5 \) \( x_{1}+2 x_{2}+3 x_{3}=10 \) \( 2 x_{1}+x_{2}+x_{3}=6 \)
Q:
Simplify the polynomial, then evaluate for \( x=3 \) \( x^{2}+2 x-3-2 x^{2}+x+4 \)
Q:
8) \( -6+\frac{x}{3}=-9 \)
Q:
What are the exponent and coefficient of the expression \( -5 b \) ? The exponent is 1 and the coefficient is 5 .
Q:
9) \( -6(x-10)=-24 \)
Q:
\( \left. \begin{array} { c | c } { 2 - 7 x = - 2 x - 33 } & { } \\ { - 11 x + 10 = - 6 x + 55 } \\ { - 7 - 6 x = - 9 x + 8 } & { } \\ \hline \end{array} \right. \)
Q:
\( \left. \begin{array} { c | c | } { 1 - 2 x = 7 - x } & { } \\ \hline - 1 + 7 x = 5 x + 5 & { } \\ \hline \end{array} \right. \)
Q:
Hvilket tall skal stå i den tomme ruten for at regnestykket skal være riktig? \( \frac{\square}{-3}=-6 \)

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