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Lesson Example Discussion Quiz: Class Homework

Step-4

Title: Adding and Subtracting Variables

Grade: 6-a Lesson: S2-L6

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Simplify the expression \$ (8"xy") + (3"yx") \$.
2	Step	Given expression	\$ (8"xy") + (3"yx") \$
3	Step	Identify Like Terms: Determine which terms in the expression involve the same variable(s) raised to the same power(s)	\$ (8"xy") \$ and \$ (3"yx") \$
4	Step	Combine Like Terms: Add or subtract the coefficients of like terms while keeping the variables unchanged	⇒ \$ (8"xy") + (3"yx") \$ ⇒ (8 + 3)xy ⇒ 11xy
5	Step	The simplified expression is 11xy.
6	Choice.A	This option correctly simplifies the expression by combining the coefficients of the like terms xy and yx	11xy
7	Choice.B	This option suggests adding the coefficients without considering the fact that xy and yx are like terms that can be combined. It’s not the correct simplification	12xy
8	Choice.C	This option doesn’t account for the fact that both terms 8xy and 3yx are positive and thus would result in a sum greater than 5	5xy
9	Choice.D	This option suggests subtracting the coefficients, which isn’t appropriate for adding like terms	-5xy
10	Answer	Option	A
11	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Simplify the expression \$ (8"xy") + (3"yx") \$.

Step

Given expression

\$ (8"xy") + (3"yx") \$

Step

Identify Like Terms: Determine which terms in the expression involve the same variable(s) raised to the same power(s)

\$ (8"xy") \$ and \$ (3"yx") \$

Step

Combine Like Terms: Add or subtract the coefficients of like terms while keeping the variables unchanged

⇒ \$ (8"xy") + (3"yx") \$
⇒ (8 + 3)xy
⇒ 11xy

Step

The simplified expression is 11xy.

Choice.A

This option correctly simplifies the expression by combining the coefficients of the like terms xy and yx

11xy

Choice.B

This option suggests adding the coefficients without considering the fact that xy and yx are like terms that can be combined. It’s not the correct simplification

12xy

Choice.C

This option doesn’t account for the fact that both terms 8xy and 3yx are positive and thus would result in a sum greater than 5

5xy

Choice.D

This option suggests subtracting the coefficients, which isn’t appropriate for adding like terms

-5xy

Answer

Option

Sumup

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