Step-3

Title: Calculate the equation

Grade: 8-a Lesson: S4-L1

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

Lesson Steps

Step Type Explanation Answer

1

Problem

Calculate the equation
\$ | 3x + 11 | = | x | \$

2

Formula:

By using formula

\$| x | = | x |\$

3

Hint

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

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

4

Step

By simplifying we get

\$ 3x + 11 = x (or) 3x + 11 = - x \$

5

Step

Move 'x' variable terms right hand side and constant terms left hand side

\$ 3x - x = - 11 (or) 3x + x = -11 \$

6

Step

After simplification we get

\$ 2x = - 11 (or) 4x = -11 \$

7

Step

Dividing on both sides '2' and '4'

\$ \cancel2/\cancel2x = - 11/2 (or) \cancel4/\cancel4x = -11/4 \$

8

Step

After cancellation we get

\$ x = - 11/2 (or) x = -11/4 \$

9

Answer

B


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