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Step-4

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 - 10 \| - 5 = 6 \$
2	Step	Adding + 5 on both sides we get	\$ \| x - 10 \| - \cancel5 + \cancel5 = 6 + 5 \$
3	Step	After cancellation we get	\$ \| x - 10 \| = 11 \$
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 '11'	\$ x - 10 = 11 (or) x - 10 = - 11 \$
7	Step	Adding '+ 10' on both sides we get	\$ x - \cancel10 + \cancel10 = 11 + 10 (or) x - \cancel10 + \cancel10 = - 11 + 10 \$
8	Step	After cancellation we get	\$ x = 21 (or) x = - 1 \$
9		Answer	D

Step

Type

Explanation

Answer

Problem

Calculate the equation
\$ | x - 10 | - 5 = 6 \$

Step

Adding + 5 on both sides we get

\$ | x - 10 | - \cancel5 + \cancel5 = 6 + 5 \$

Step

After cancellation we get

\$ | x - 10 | = 11 \$

Formula:

By using formula

\$| x | = a \$

Hint

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

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

Step

Here 'a' is '11'

\$ x - 10 = 11 (or) x - 10 = - 11 \$

Step

Adding '+ 10' on both sides we get

\$ x - \cancel10 + \cancel10 = 11 + 10 (or) x - \cancel10 + \cancel10 = - 11 + 10 \$

Step

After cancellation we get

\$ x = 21 (or) x = - 1 \$

Answer