Lesson Example Discussion Quiz: Class Homework |
Step-1 |
Title: Test1 |
Grade: 6-b Lesson: S2-L1 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Simplify: \$(3x^2) \div (2y) \times (4y^2) \div (3x)\$. |
|
2 |
Step |
Given expression |
\$(3x^2) \div (2y) \times (4y^2) \div (3x)\$ |
3 |
Step |
To simplify, you multiply the numerators together and the denominators together: |
\$(3x^2) \times(4y^2) \div (2y) \times (3x)\$ |
4 |
Step |
Simplify each part: |
\$(12x^2y^2) \div (6xy)\$ |
5 |
Step |
Now, cancel the common factor of 6 from the numerator and denominator: |
\$(2x^2y^2) \div (xy)\$ |
6 |
Step |
Finally, simplify further by canceling one factor of x and one factor of y: |
\$2xy\$ |
7 |
Choice.A |
This answer is not correct because the simplified expression is \$2xy\$, not \$xy\$ |
\$xy\$ |
8 |
Choice.B |
This answer is not correct because the simplified expression is \$2xy\$, not \$3xy\$ |
\$3xy\$ |
9 |
Choice.C |
This answer is correct because the simplified expression is \$2xy\$. |
\$2xy\$ |
10 |
Choice.D |
This answer is not correct because the simplified expression is \$2xy\$, not \$4xy\$ |
\$4xy\$ |
11 |
Answer |
Option |
C |
12 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
|
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