Question

Por favor es para el miércoles

88d785708e778d8fe2218fc7cf9eef86.docx

Answer 1

PROBLEMA 1

$a) \: {2}^{4} \div ( - 4) + (3 \times 3 - 5) {}^{2} - \sqrt{25 \times 4} \\ 16 \div ( - 4) + (9 - 5) {}^{2} - \sqrt{100} \\ - 4 + (4) {}^{2} - 10 \\ - 4 + 16 - 10 \\ 16 - 14 \\ 2$

$b) \: \sqrt{3} \times \sqrt{12} - ( {2}^{3} - 2) + 36 \div {2}^{2} \times ( - 5 + 3) \\ \sqrt{3 \times 12} - 6 + 36 \div 4 \times ( - 2) \\ \sqrt{36} - 6 + 9 \times ( - 2) \\ 6 - 6 - 18 \\ - 18$

$c) \: \sqrt[3]{6 \times 4 + 3} - (32 \div 8 - 6) {}^{3} + 3( - 7 \times 2 + 20) \\ \sqrt[3]{24 + 3} - (4 - 6) {}^{3} + 3( - 14 + 20) \\ \sqrt[3]{27} - ( - 2) {}^{3} + 3(6) \\ 3 - ( - 8) + 18 \\ 3 + 8 + 18 \\ 29$

$d) \: ( - 9 + 12) {}^{3} - 16 \div \sqrt[3]{ - 32 \times ( - 7 + 5)} + ( - 4 \times 12 + 36) {}^{2} \\ {3}^{3} - 16 \div \sqrt[3]{ - 32 \times ( - 2)} + ( - 48 + 36) {}^{2} \\ 27 - 16 \div \sqrt[3]{64} + ( - 12) {}^{2} \\ 27 - 16 \div 4 + 144 \\ 27 - 4 + 144 \\ 23 + 144 \\ 167$

PROBLEMA 2

$a) \: 8 - x + 2 - 4 = x \\ 6 - x = x \\ 6 = x + x\\ 6 = 2x \\ \frac{6}{2} = x \\ 3 = x$

$b) \: x - 1 - 2x - 11 = 2x \\ - 12 - x = 2x \\ - 12 = 2x + x \\ - 12 = 3x \\ \frac{ - 12}{3} = x \\ - 4 = x$

PROBLEMA 3

$a) \: 4(x + 1) = 2(x + 10) \\ 4x + 4 = 2x + 20 \\ 4x - 2x = 20 - 4 \\ 2x = 16 \\ x = \frac{16}{2} \\ x = 8$

$b) \: 8(x - 2) = 2(7 + 3x) \\ 8x - 16 = 14 + 6x \\ 8x - 6x = 14 + 16 \\ 2x = 30 \\ x = \frac{30}{2} \\ x = 15$