Lesson Example Discussion Quiz: Class Homework |
Step-2 |
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 \$ 3"x" + 5"x"^3 + 9"x" + 6"x"^2 - 9"x"^3 \$. |
|
2 |
Step |
The given expression is |
\$ 3"x" + 5"x"^3 + 9"x" + 6"x"^2 - 9"x"^3 \$ |
3 |
Step |
Combine the terms with the same variable and same exponent: |
\$(- 9"x"^3 + 5"x"^3 ) + (3"x" + 9"x") + 6"x"^2\$ |
4 |
Step |
Add the coefficients of the like terms: |
\$ - 4"x"^3 + 6"x"^2 + 12"x"\$ |
5 |
Step |
So, the simplified expression is \$ - 4"x"^3 + 6"x"^2 + 12"x"\$. |
|
6 |
Choice.A |
This answer is not correct because the simplified expression is \$- 4"x"^3 + 6"x"^2 + 12"x"\$, not \$4"x"^3 + 9"x"^2 + 3"x"\$ |
\$4"x"^3 + 9"x"^2 + 3"x"\$ |
7 |
Choice.B |
The solution is accurate as it simplifies the expression to \$- 4"x"^3 + 6"x"^2 + 12"x"\$ |
\$- 4"x"^3 + 6"x"^2 + 12"x"\$ |
8 |
Choice.C |
The provided solution is inaccurate. The simplified form should be \$-4"x"^3 + 6"x"^2 + 12"x"\$ |
\$- 4"x"^3 + 8"x"^2 + 12"x"\$ |
9 |
Choice.D |
Incorrect: The simplified form should be \$- 4"x"^3 + 6"x"^2 + 12"x"\$, not \$4"x"^3 + 6"x"^2 + 9"x"\$. The constant term of \$"x"^3\$ sign is wrong |
\$4"x"^3 + 6"x"^2 + 9"x"\$ |
10 |
Answer |
Option |
B |
11 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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