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Step-3

Title: Find the modulus of the equations

Grade: 8-a Lesson: S2-L7

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\| = 3 \$
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 '3'	\$x + 7 = 3 (or) x + 7 = - 3\$
5	Step	Adding "- 7" on both sides we get	\$ x + \cancel7 - \cancel7 = 3 - 7 (or) x + \cancel7 - \cancel7 = - 3 - 7 \$
6	Step	After cancellation we get	\$x = - 4 (or) x = - 10\$
7		Answer	B

Step

Type

Explanation

Answer

Problem

Solve the equation
\$ | x + 7| = 3 \$

Formula:

By using formula

\$| x | = a\$

Hint

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

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

Step

Here 'a' is '3'

\$x + 7 = 3 (or) x + 7 = - 3\$

Step

Adding "- 7" on both sides we get

\$ x + \cancel7 - \cancel7 = 3 - 7 (or) x + \cancel7 - \cancel7 = - 3 - 7 \$

Step

After cancellation we get

\$x = - 4 (or) x = - 10\$

Answer