SaiBook.us Algebra

Home Course Section

Register Enroll

Step-3

Title: Calculate the equation

Grade: 8-a Lesson: S3-L5

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 + 2 \| + 9 = 2 \$
2	Step	Adding - 9 on both sides we get	\$ \| x + 2 \| + \cancel9 - \cancel9 = 2 - 9 \$
3	Step	After cancellation we get	\$\| x + 2 \| = -7\$
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 '-7'	\$ x + 2 = -7 (or) x + 2 = -(-7) \$
7	Step	Adding - 2 on both sides we get	\$ x + \cancel2 - \cancel2 = -7 - 2 (or) x + \cancel2 - \cancel2 = 7 - 2\$
8	Step	After cancellation we get	\$x = - 9 (or) x = 5\$
9		Answer	C = 5

Step

Type

Explanation

Answer

Problem

Calculate the equation
\$ | x + 2 | + 9 = 2 \$

Step

Adding - 9 on both sides we get

\$ | x + 2 | + \cancel9 - \cancel9 = 2 - 9 \$

Step

After cancellation we get

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

Formula:

By using formula

\$| x | = a\$

Hint

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

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

Step

Here 'a' is '-7'

\$ x + 2 = -7 (or) x + 2 = -(-7) \$

Step

Adding - 2 on both sides we get

\$ x + \cancel2 - \cancel2 = -7 - 2 (or) x + \cancel2 - \cancel2 = 7 - 2\$

Step

After cancellation we get

\$x = - 9 (or) x = 5\$

Answer

C = 5