Lesson Example Discussion Quiz: Class Homework |
Step-5 |
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 \$ 5 + "y"^5 + 3"y"^2 - 9"y"^5 + "y"^3 - 7 - "y"^2\$. |
|
2 |
Step |
Given expression |
\$ 5 + "y"^5 + 3"y"^2 - 9"y"^5 + "y"^3 - 7 - "y"^2\$ |
3 |
Step |
Identify Like Terms: Determine which terms in the expression involve the same variable(s) raised to the same power(s) |
\$ "y"^5 \$ and \$-9"y"^5\$ , \$3"y"^2 \$ and \$-"y"^2\$ |
4 |
Step |
Combine Like Terms: Add or subtract the coefficients of like terms while keeping the variables unchanged |
⇒ \$"y"^5 - "9y"^5\$ + \$3"y"^2 - "y"^2\$ + 5 - 7 ⇒ (1 - 9) \$"y"^5\$ + (3 - 1) \$"y"^2\$ - 2 ⇒ \$ - 8"y"^5 + 2"y"^2\$ - 2 |
5 |
Step |
Bring in Other Terms: Include any terms in the expression that do not involve like terms. |
|
6 |
Choice.A |
This option has the correct terms but with incorrect coefficients. It has \$4"y"^2\$ instead of \$2"y"^2\$, and the constant term is -2 instead of -7 |
\$-8"y"^5 + 4"y"^2 + "y"^3 - 2\$ |
7 |
Choice.B |
This option has incorrect coefficients for the terms. It has \$6"y"^5\$ instead of \$-8"y"^5\$, and the constant term is -9 instead of -2 |
\$6"y"^5 + 2"y"^2 + "y"^3 - 9\$ |
8 |
Choice.C |
This option has incorrect coefficients for the terms. It has \$8"y"^5\$ instead of \$-8"y"^5\$, and \$5"y"^2\$ instead of \$2"y"^2\$, and the constant term is -2 instead of -7 |
\$8"y"^5 + 5"y"^2 + "y"^3 - 2\$ |
9 |
Choice.D |
This option has the correct terms and correct coefficients. It correctly simplifies the expression by grouping like terms together |
\$-8"y"^5 + 2"y"^2 + "y"^3 - 2\$ |
10 |
Answer |
Option |
D |
11 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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