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Step-2

Title: Calculate the equation

Grade: 8-a Lesson: S3-L7

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Calculate the equation \$ \| x - 1 \| - 4 = 8 \$
2	Step	Adding + 4 on both sides we get	\$ \| x - 1 \| - \cancel4 + \cancel4 = 8 + 4 \$
3	Step	After cancellation we get	\$ \| x - 1 \| = 12 \$
4	Formula:	By using formula	\$\| x \| = a \$
5	Hint	By removing mod we get(+) or (-)	\$x = a (or) x = - a \$
6	Step	Here 'a' is '12'	\$ x - 1 = 12 (or) x - 1 = - 12 \$
7	Step	Adding + 1 on both sides we get	\$ x - \cancel1 + \cancel1 = 12 + 1 (or) x - \cancel1 + \cancel1 = - 12 + 1 \$
8	Step	After cancellation we get	\$ x = 13 (or) x = -11 \$
9		Answer	A

Step

Type

Explanation

Answer

Problem

Calculate the equation
\$ | x - 1 | - 4 = 8 \$

Step

Adding + 4 on both sides we get

\$ | x - 1 | - \cancel4 + \cancel4 = 8 + 4 \$

Step

After cancellation we get

\$ | x - 1 | = 12 \$

Formula:

By using formula

\$| x | = a \$

Hint

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

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

Step

Here 'a' is '12'

\$ x - 1 = 12 (or) x - 1 = - 12 \$

Step

Adding + 1 on both sides we get

\$ x - \cancel1 + \cancel1 = 12 + 1 (or) x - \cancel1 + \cancel1 = - 12 + 1 \$

Step

After cancellation we get

\$ x = 13 (or) x = -11 \$

Answer