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Lesson Example Discussion Quiz: Class Homework

Step-4

Title: The Inverse Property

Grade: 6-b 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 multiplicative Inverse of x: 3x + 12 = − 5
2	Step	Let’s solve for x	3x + 12 = - 5
3	Step	To simplify the equation, subtract 12 from both sides	3x + 12 - 12 = - 5 - 12 \$ 3x = (- 17) \$ \$ x = - (17/3) \$
4	Formula:	The multiplicative inverse of	\$ a/b \$ = \$ b/a \$
5	Step	Now, the multiplicative inverse of \$- (17/3)\$ is simply its reciprocal:	Multiplicative inverse of \$ - (17/3) = - (3/17) \$
6	Choice.A	This is the correct choice for the multiplicative inverse of the given expression	\$- (3/17)\$
7	Choice.B	This option represents the reciprocal of the correct answer. It’s the inverse of \$-3/17\$, but we’re looking for the inverse of x, not the reciprocal	\$(3/17)\$
8	Choice.C	This option is incorrect because it is the value of x	\$- (17/3)\$
9	Choice.D	This option doesn’t seem to relate to the correct solution. It doesn’t correspond to the multiplicative inverse of x in the given equation	\$(-3)/(-7)\$
10	Answer	Option	A
11	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Find the multiplicative Inverse of x:
3x + 12 = − 5

Step

Let’s solve for x

3x + 12 = - 5

Step

To simplify the equation, subtract 12 from both sides

3x + 12 - 12 = - 5 - 12

\$ 3x = (- 17) \$

\$ x = - (17/3) \$

Formula:

The multiplicative inverse of

\$ a/b \$ = \$ b/a \$

Step

Now, the multiplicative inverse of \$- (17/3)\$ is simply its reciprocal:

Multiplicative inverse of \$ - (17/3) = - (3/17) \$

Choice.A

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

\$- (3/17)\$

Choice.B

This option represents the reciprocal of the correct answer. It’s the inverse of \$-3/17\$, but we’re looking for the inverse of x, not the reciprocal

\$(3/17)\$

Choice.C

This option is incorrect because it is the value of x

\$- (17/3)\$

Choice.D

This option doesn’t seem to relate to the correct solution. It doesn’t correspond to the multiplicative inverse of x in the given equation

\$(-3)/(-7)\$

Answer

Option

Sumup

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

Discussion: Step1 Step2 Step3 Step4 Step5