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Step-3

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 - 3 \| - 2 = 7 \$
2	Step	Adding + 2 on both sides we get	\$ \| x - 3 \| - \cancel2 + \cancel2 = 7 + 2 \$
3	Step	After cancellation we get	\$ \| x - 3 \| = 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 - 3 = 9 (or) x - 3 = - 9 \$
7	Step	Adding + 3 on both sides we get	\$ x - \cancel3 + \cancel3 = 9 + 3 (or) x - \cancel3 + \cancel3 = - \cancel9 + \cancel3 \$
8	Step	After cancellation we get	\$ x = 12 (or) x = - 6 \$
9		Answer	C

Step

Type

Explanation

Answer

Problem

Calculate the equation
\$ | x - 3 | - 2 = 7 \$

Step

Adding + 2 on both sides we get

\$ | x - 3 | - \cancel2 + \cancel2 = 7 + 2 \$

Step

After cancellation we get

\$ | x - 3 | = 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 - 3 = 9 (or) x - 3 = - 9 \$

Step

Adding + 3 on both sides we get

\$ x - \cancel3 + \cancel3 = 9 + 3 (or) x - \cancel3 + \cancel3 = - \cancel9 + \cancel3 \$

Step

After cancellation we get

\$ x = 12 (or) x = - 6 \$

Answer