SaiBook.us Algebra

Home Course Section

Register Enroll

Step-1

Title: Calculate the equation

Grade: 8-a Lesson: S4-L2

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Calculate the equation \$ \| 2x + 4 \| = \|- 4x \| \$
2	Step	By using formula	\$\| x \| = \| x \| \$
3	Hint	By removing mod we get(+) or (-)	\$x=x (or) x=-x \$
4	Step	By simplifying we get	\$ 2x + 4 = -4x (or) 2x + 4 = -(-4x) = 4x \$
5	Step	Move 'x' variable terms right hand side and constant terms left hand side	\$ 2x + 4x = -4 (or) 2x - 4x = -4 \$
6	Step	After simplification we get	\$ 6x = - 4 (or) -2x = -4 \$
7	Step	Dividing on both sides '6' and '-2'	\$ \cancel6/\cancel6x = -\cancel4^2/\cancel6^3 (or) \cancel(-2)/\cancel(-2)x = \cancel(-4)^2/\cancel(-2)^1 \$
8	Step	After cancellation we get	\$ x = -2/3 (or) x = 2 \$
9		Answer	C

Step

Type

Explanation

Answer

Problem

Calculate the equation
\$ | 2x + 4 | = |- 4x | \$

Step

By using formula

\$| x | = | x | \$

Hint

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

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

Step

By simplifying we get

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

Step

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

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

Step

After simplification we get

\$ 6x = - 4 (or) -2x = -4 \$

Step

Dividing on both sides '6' and '-2'

\$ \cancel6/\cancel6x = -\cancel4^2/\cancel6^3 (or) \cancel(-2)/\cancel(-2)x = \cancel(-4)^2/\cancel(-2)^1 \$

Step

After cancellation we get

\$ x = -2/3 (or) x = 2 \$

Answer