Step-3

Title: Calculate the equation

Grade: 8-a Lesson: S3-L8

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step Type Explanation Answer

1

Problem

Calculate the equation
\$ 6| x + 1 | + 8 = 12 \$

2

Step

Adding - 8 on both sides we get

\$ 6| x + 1 | + \cancel8 - \cancel8 = 12 - 8 \$

3

Step

After cancellation we get

\$ 6| x + 1 | = 4 \$

4

Step

Dividing on both sides by 6 we get

\$ \cancel6/\cancel6| x + 1 | = \cancel4^2/\cancel6^3 \$

5

Step

After cancellation we get

\$ | x + 1 | = 2/3 \$

6

Formula:

By using formula

\$| x | = a\$

7

Hint

By removing mod we get(+) or (-)

\$x = a (or) x = - a \$

8

Step

Here 'a' is \$2/3\$

\$ x + 1 = 2/3 (or) x + 1 = - 2/3 \$

9

Step

Adding - 1 on both sides we get

\$ x + \cancel1 - \cancel1 = 2/3 - 1 (or) x + \cancel1 - \cancel1 = - 2/3 - 1 \$

10

Step

After cancellation we get

\$ x = 2/3 - 1 (or) x = - 2/3 - 1 \$

11

Hint

Taking LCM as 3

12

Step

After simplification

\$ x = (2 - 3)/3 (or) x = (-2 - 3)/3 \$

13

Step

After simplification we get

\$ x = -1/3 (or) x = - 5/3 \$

14

Answer

B


Copyright © 2020-2022 saibook.us Contact: info@saibook.us Version: 1.5 Built: 15-March-2023 08:10 PM EST