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Step-4

Title: Calculate the equation

Grade: 8-a Lesson: S4-L4

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Calculate the equation \$ \| 11x - 3 \| = \| 4x \| \$
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	\$ 11x - 3 = 4x (or) 11x - 3 = - 4x \$
5	Step	Move 'x' variable terms right hand side and constant terms left hand side	\$ 11x - 4x = 3 (or) 11x + 4x = 3 \$
6	Step	After simplification we get	\$ 7x = 3 (or) 15x = 3 \$
7	Step	Dividing on both sides '7' and '15'	\$ \cancel7/\cancel7x = 3/7 (or) \cancel15/\cancel15x = \cancel(3)^1/\cancel(15)^5 \$
8	Step	After cancellation we get	\$ x = 3/7 (or) x = 1/5 \$
9		Answer	B

Step

Type

Explanation

Answer

Problem

Calculate the equation
\$ | 11x - 3 | = | 4x | \$

Formula:

By using formula

\$| x | = | x |\$

Hint

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

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

Step

By simplifying we get

\$ 11x - 3 = 4x (or) 11x - 3 = - 4x \$

Step

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

\$ 11x - 4x = 3 (or) 11x + 4x = 3 \$

Step

After simplification we get

\$ 7x = 3 (or) 15x = 3 \$

Step

Dividing on both sides '7' and '15'

\$ \cancel7/\cancel7x = 3/7 (or) \cancel15/\cancel15x = \cancel(3)^1/\cancel(15)^5 \$

Step

After cancellation we get

\$ x = 3/7 (or) x = 1/5 \$

Answer