Lesson Example Discussion Quiz: Class Homework |
Step-3 |
Title: Proportion |
Grade: 8-a Lesson: S4-L6 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Solving the Proportion \$(2x + 1) : 3\$ = \$(x + 2) : 3\$. |
|
2 |
Step |
Given Proportion |
\$(2x + 1) : 3\$ = \$(x + 2) : 3\$ |
3 |
Step |
First, convert the provided proportion into a fraction |
\$(2x + 1) / 3\$ = \$(x + 2) / 3\$ |
4 |
Step |
To solve the proportion, begin by cross-multiplying |
\$(2x + 1)3\$ = \$(x + 2)3\$ ⇒ \$6x + 3\$ = \$3x + 6\$ |
5 |
Step |
Move the variables to one side and the constants to the other side carefully |
\$6x - 3x = 6 - 3\$ |
6 |
Step |
Divide both sides by the number connected to the variable |
\$(3x)/3 = 3/3\$ |
7 |
Step |
The value of x is: |
\$x = 1\$ |
8 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
9 |
Choice.A |
This is incorrect because the solution is x = 1, not 3 |
3 |
10 |
Choice.B |
This is incorrect because the solution is x = 1, not 2 |
2 |
11 |
Choice.C |
This is incorrect because the solution is x = 1, not 4 |
4 |
12 |
Choice.D |
It is the correct solution to the given proportion |
1 |
13 |
Answer |
Option |
D |
14 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
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