SaiBook.us Algebra

Home Course Section

Register Enroll

Step-3

Title: Calculate the equation

Grade: 8-a Lesson: S3-L6

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 + 5 \| - 6 = 4 \$
2	Step	Adding + 6 on both sides we get	\$ \| x + 5 \| - \cancel6 + \cancel6 = 4 + 6 \$
3	Step	After cancellation we get	\$ \| x + 5 \| = 10 \$
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 '10'	\$ x + 5 = 10 (or) x + 5 = - 10 \$
7	Step	Adding - 5 on both sides we get	\$ x + \cancel5 - \cancel5 = 10 - 5 (or) x + \cancel5 - \cancel5 = - 10 - 5 \$
8	Step	After cancellation we get	\$ x = 5 (or) x = - 15 \$
9		Answer	B

Step

Type

Explanation

Answer

Problem

Calculate the equation
\$ | x + 5 | - 6 = 4 \$

Step

Adding + 6 on both sides we get

\$ | x + 5 | - \cancel6 + \cancel6 = 4 + 6 \$

Step

After cancellation we get

\$ | x + 5 | = 10 \$

Formula:

By using formula

\$| x | = a\$

Hint

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

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

Step

Here 'a' is '10'

\$ x + 5 = 10 (or) x + 5 = - 10 \$

Step

Adding - 5 on both sides we get

\$ x + \cancel5 - \cancel5 = 10 - 5 (or) x + \cancel5 - \cancel5 = - 10 - 5 \$

Step

After cancellation we get

\$ x = 5 (or) x = - 15 \$

Answer