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Step-1

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 - 9 \| - 5 = 4 \$
2	Step	Adding + 5 on both sides we get	\$ \| x - 9 \| - \cancel5 + \cancel5 = 4 + 5 \$
3	Step	After cancellation we get	\$ \| x - 9 \| = 9 \$
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 '9'	\$ x - 9 = 9 (or) x - 9 = - 9 \$
7	Step	Adding + 9 on both sides we get	\$ x - \cancel9 + \cancel9 = 9 + 9 (or) x - \cancel9 + \cancel9 = - \cancel9 + \cancel9 \$
8	Step	After cancellation we get	\$ x = 18 (or) x = 0 \$
9		Answer	B

Step

Type

Explanation

Answer

Problem

Calculate the equation
\$ | x - 9 | - 5 = 4 \$

Step

Adding + 5 on both sides we get

\$ | x - 9 | - \cancel5 + \cancel5 = 4 + 5 \$

Step

After cancellation we get

\$ | x - 9 | = 9 \$

Formula:

By using formula

\$| x | = a\$

Hint

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

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

Step

Here 'a' is '9'

\$ x - 9 = 9 (or) x - 9 = - 9 \$

Step

Adding + 9 on both sides we get

\$ x - \cancel9 + \cancel9 = 9 + 9 (or) x - \cancel9 + \cancel9 = - \cancel9 + \cancel9 \$

Step

After cancellation we get

\$ x = 18 (or) x = 0 \$

Answer