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Title: Solve the equation

Grade: 8-a Lesson: S3-L2

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Solve the equation \$ \|- x - 2\| = - 9 \$
2	Formula:	By using formula	\$ \| x \| = a\$
3	Hint	By removing mod we get (+) (or) (-)	\$x = a (or) x = - a\$
4	Step	Here 'a' is '-9'	\$-x - 2 = - 9 (or) -x - 2 = - (-9)\$
5	Step	After multiplication we get	\$-x - 2 = - 9 (or)- x - 2 = 9 \$
6	Step	Adding "+ 2" on both sides we get	\$- x - \cancel2 + \cancel2 = -9 + 2 (or) -x - \cancel2 + \cancel2 = 9 + 2 \$
7	Step	After cancellation we get	\$-x = -7 (or) -x = 11 \$
8	Step	Multiplying "-" on both sides we get	\$-(-x) = - (-7) (or) -(-x) = - 11\$
9	Step	After multiplication we get	\$ x = 7 (or) x = - 11 \$
10		Answer	A

Step

Type

Explanation

Answer

Problem

Solve the equation
\$ |- x - 2| = - 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 - 2 = - 9 (or) -x - 2 = - (-9)\$

Step

After multiplication we get

\$-x - 2 = - 9 (or)- x - 2 = 9 \$

Step

Adding "+ 2" on both sides we get

\$- x - \cancel2 + \cancel2 = -9 + 2 (or) -x - \cancel2 + \cancel2 = 9 + 2 \$

Step

After cancellation we get

\$-x = -7 (or) -x = 11 \$

Step

Multiplying "-" on both sides we get

\$-(-x) = - (-7) (or) -(-x) = - 11\$

Step

After multiplication we get

\$ x = 7 (or) x = - 11 \$

Answer