Question

A) Calcula el valor de “x” en:
1. x + 5 = 13
2. 3x – 2 = 2+ 6
3. 2x + 8 = 15.2
4. 7x - 12 = 28
5. 2x - 8 = 20
6. 7 – 4 = 9x – 10
7.
B) Calcula el valor de “x” con la propiedad distributiva:
1. 2(x + 3) = 10
2. 5(x + 8) = 50
3. 3(2x – 5) = 9
4. 8(5 + x) = 56
5. 5(x – 1) = 20
6. 4(2x + 3) = 5

Answer 1

Respuesta:

$A)$

$1)x + 5 = 13 \\ x = 13 - 5 \\ x = 8$

$2)3x - 2 = 2 + 6 \\ 3x - 2 = 8 \\ 3x = 8 + 2 \\ 3x = 10 \\ x = \frac{10}{3}$

$3)2x + 8 = 15 \times 2 \\ 2x + 8 = 30 \\ 2x = 30 - 8 \\ 2x = 22 \\ x = \frac{22}{2} \\ x = 11$

$4)7x - 12 = 28 \\ 7x = 28 + 12 \\ 7x = 40 \\ x = \frac{40}{7}$

$5)2x - 8 = 20 \\ 2x = 20 + 8 \\ 2x = 28 \\ x = \frac{28}{2} \\ = 14$

$6)7 - 4 =9 x - 10 \\ 3 = 9x - 10 \\ 3 + 10 = 9x \\ 13 = 9x \\ \frac{13}{9} = x$

$B )$

$1)2(x + 3) = 10 \\ 2x + 6 = 10 \\ 2x = 10 - 6 \\ 2x = 4 \\ x = \frac{4}{2} \\ x = 2$

$2)5(x + 8) = 50 \\ 5x + 40 = 50 \\ 5x = 50 - 40 \\ 5x = 10 \\ x = \frac{10}{5} \\ x = 2$

$3)3(2x - 5) = 9 \\ 6x - 15 = 9 \\ 6x = 9 + 15 \\ 6x = 24 \\ x = \frac{24}{6} \\ x = 4$

$4)8(5 + x) = 56 \\ 40 + 8x = 56 \\ 8x = 56 - 40 \\ 8x = 16 \\ x = \frac{16}{8} \\ x = 2$

$5)5(x - 1) = 20 \\ 5x - 5 = 20 \\ 5x = 20 + 5 \\ 5x = 25 \\ x = \frac{25}{5} \\ x = 5$

$6)4(2x + 3) = 5 \\ 8x + 12 = 5 \\ 8x = 5 - 12 \\ 8x = - 7 \\ x = - \frac{ 7}{8}$