SaiBook.us Algebra

Home Course Section

Schedule Admission Social

Lesson Example Discussion Quiz: Class Homework

Step-5

Title: The Identity property

Grade: 6-b Lesson: S2-L4

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

Discussion: Step1 Step2 Step3 Step4 Step5

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Solve for x in the equation 5x − 3 = 2 using the multiplicative identity property.
2	Step	The given equation is	5x − 3 = 2
3	Step	Add 3 both sides of the equation:	5x - 3 + 3 = 2 + 3 5x = 5
4	Hint	Symbolically, Multiplicative identity Property can be expressed as	a ⋅ 1 = a, where a is any real number
5	Hint	Recognize that multiplying any expression by 1 does not change the expression.
6	Step	According to the multiplicative identity property	5x = 5 simplifies to x = 1
7	Step	So, the final simplified expression is x = 1.
8	Choice.A	This answer is incorrect because by applying the Multiplicative identity property we got the result as x = 1, not x = 0	x = 0
9	Choice.B	Using the Multiplicative Identity property, x equals 1, confirming the accuracy of this solution	x = 1
10	Choice.C	The response is wrong because the application of the Multiplicative Identity yields x = 1, not x = 2	x = 2
11	Choice.D	Multiplicative identity property yields x = 1, not x = 3, making this answer incorrect	x = 3
12	Answer	Option	B
13	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Solve for x in the equation 5x − 3 = 2 using the multiplicative identity property.

Step

The given equation is

5x − 3 = 2

Step

Add 3 both sides of the equation:

5x - 3 + 3 = 2 + 3

5x = 5

Hint

Symbolically, Multiplicative identity Property can be expressed as

a ⋅ 1 = a, where a is any real number

Hint

Recognize that multiplying any expression by 1 does not change the expression.

Step

According to the multiplicative identity property

5x = 5 simplifies to x = 1

Step

So, the final simplified expression is x = 1.

Choice.A

This answer is incorrect because by applying the Multiplicative identity property we got the result as x = 1, not x = 0

x = 0

Choice.B

Using the Multiplicative Identity property, x equals 1, confirming the accuracy of this solution

x = 1

Choice.C

The response is wrong because the application of the Multiplicative Identity yields x = 1, not x = 2

x = 2

Choice.D

Multiplicative identity property yields x = 1, not x = 3, making this answer incorrect

x = 3

Answer

Option

Sumup

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

Discussion: Step1 Step2 Step3 Step4 Step5