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Step-5

Title: Module of the variable

Grade: 8-a Lesson: S2-L8

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 - 7 \| = 5 \$
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 5	\$x - 7 = 5 (or) x - 7 = - 5 \$
5	Step	Adding "+ 7" on both sides we get	\$ x - \cancel7 + \cancel7 = 5 + 7 (or) x - \cancel7 + \cancel7 = - 5 + 7 \$
6	Step	After cancellation we get	\$x = 12 (or) x = 2 \$
7		Answer	A

Step

Type

Explanation

Answer

Problem

Solve the equation
\$ | x - 7 | = 5 \$

Formula:

By using formula

\$| x | = a\$

Hint

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

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

Step

Here 'a' is 5

\$x - 7 = 5 (or) x - 7 = - 5 \$

Step

Adding "+ 7" on both sides we get

\$ x - \cancel7 + \cancel7 = 5 + 7 (or) x - \cancel7 + \cancel7 = - 5 + 7 \$

Step

After cancellation we get

\$x = 12 (or) x = 2 \$

Answer