Lesson Example Discussion Quiz: Class Homework |
Step-3 |
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"^2) + (2"y") - (4"x"^2) \$. |
|
2 |
Step |
The given expression is |
\$ (3"x"^2) + (2"y") - (4"x"^2) \$ |
3 |
Step |
Identify Like Terms: Determine which terms in the expression involve the same variable(s) raised to the same power(s) |
\$3"x"^2\$ and \$- 4"x"^2\$ |
4 |
Step |
Subtract the like terms |
⇒ \$3"x"^2 - 4"x"^2 + 2"y"\$ |
5 |
Step |
So, the simplified expression is \$ (-"x"^2) + 2"y" \$. |
|
6 |
Choice.A |
The calculation yields the result as: \$(-"x"^2) + 2"y"\$, indicating that this answer is incorrect |
\$ (- "x"^2) + 3"y" \$ |
7 |
Choice.B |
The constant term of \$"x"^2\$ is negative, but here it’s positive, making it the incorrect answer |
\$ ("x"^2) + 2"y" \$ |
8 |
Choice.C |
Correct answer derived from calculation: \$(-"x"^2) + 2"y"\$ yields the result |
\$ (- "x"^2) + 2"y" \$ |
9 |
Choice.D |
The answer is wrong; our calculation yields the result as \$ (-"x"^2) + 2"y" \$ |
\$ ("x"^2) + 3"y" \$ |
10 |
Answer |
Option |
C |
11 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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