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Title: Calculate the equation

Grade: 8-a Lesson: S4-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 + 1 \| = \| 2x \| \$
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	\$ - x + 1 = 2x (or) - x + 1 = - 2x \$
5	Step	Move 'x' variable terms right hand side and constant terms left hand side	\$ -x - 2x = -1 (or) -x + 2x = -1 \$
6	Step	After simplification we get	\$ -3x = -1 (or) x = -1 \$
7	Step	Dividing on both sides '-3'	\$ \cancel(-3)/\cancel(-3)x = (\cancel(-)1)/(\cancel(-)3) (or) x = -1 \$
8	Step	After cancellation we get	\$ x = 1/3 (or) x = -1 \$
9		Answer	C

Step

Type

Explanation

Answer

Problem

Calculate the equation
\$ |- x + 1 | = | 2x | \$

Formula:

By using formula

\$| x | = | x | \$

Hint

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

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

Step

By simplifying we get

\$ - x + 1 = 2x (or) - x + 1 = - 2x \$

Step

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

\$ -x - 2x = -1 (or) -x + 2x = -1 \$

Step

After simplification we get

\$ -3x = -1 (or) x = -1 \$

Step

Dividing on both sides '-3'

\$ \cancel(-3)/\cancel(-3)x = (\cancel(-)1)/(\cancel(-)3) (or) x = -1 \$

Step

After cancellation we get

\$ x = 1/3 (or) x = -1 \$

Answer