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Title: The Inverse Property

Grade: 6-a Lesson: S2-L3

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Find the additive Inverse of a: -2a + 5 = 3a - 7
2	Step	The given equation is	-2a + 5 = 3a - 7
3	Step	Let’s solve for a: Isolate the variable	−2a − 3a = − 7 − 5 −5a = − 12
4	Step	Divide both sides by - 5:	\$ a = (- 12)/(- 5) \$ \$ a = 12/5 \$
5	Formula:	The additive inverse of	a = - a
6	Step	Now, the additive inverse of \$ 12/5 \$ is simply its negative value:	Additive inverse of \$ 12/5 = - 12/5 \$
7	Choice.A	This is incorrect because it does not correspond to the additive inverse of the given expression	\$ 5/12 \$
8	Choice.B	This is not correct because it’s missing the change in sign for the constant term	\$- 5/12 \$
9	Choice.C	This is the correct choice for the additive inverse of the given expression	\$ - 12/5 \$
10	Choice.D	This is inaccurate as it lacks the alteration in sign for the constant term	\$ 12/5 \$
11	Answer	Option	C
12	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Find the additive Inverse of a:
-2a + 5 = 3a - 7

Step

The given equation is

-2a + 5 = 3a - 7

Step

Let’s solve for a: Isolate the variable

−2a − 3a = − 7 − 5

−5a = − 12

Step

Divide both sides by - 5:

\$ a = (- 12)/(- 5) \$

\$ a = 12/5 \$

Formula:

The additive inverse of

a = - a

Step

Now, the additive inverse of \$ 12/5 \$ is simply its negative value:

Additive inverse of \$ 12/5 = - 12/5 \$

Choice.A

This is incorrect because it does not correspond to the additive inverse of the given expression

\$ 5/12 \$

Choice.B

This is not correct because it’s missing the change in sign for the constant term

\$- 5/12 \$

Choice.C

This is the correct choice for the additive inverse of the given expression

\$ - 12/5 \$

Choice.D

This is inaccurate as it lacks the alteration in sign for the constant term

\$ 12/5 \$

Answer

Option

Sumup

Can you summarize what you’ve understood in the above steps?