Lesson Example Discussion Quiz: Class Homework |
Step-5 |
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 \$(x+1)2 : 3\$ = \$8 : 3\$. |
|
2 |
Step |
Given Proportion |
\$(x+1)2 : 3\$ = \$8 : 3\$ |
3 |
Step |
First, convert the provided proportion into a fraction |
\$((x + 1)2) / 3\$ = \$8 / 3\$ |
4 |
Step |
To solve the proportion, begin by cross-multiplying |
\$(2x + 2) \times3\$ = \$8 \times3\$ ⇒ \$6x + 6\$ = \$24\$ |
5 |
Step |
Move the variables to one side and the constants to the other side carefully |
\$6x = 24 - 6\$ ⇒ \$6x = 18\$ |
6 |
Step |
Divide both sides by the number connected to the variable |
\$(6x)/6 = 18/6\$ |
7 |
Step |
The value of x is: |
\$x = 3\$ |
8 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
9 |
Choice.A |
Incorrect. The correct value of x is 3, not 4 |
4 |
10 |
Choice.B |
This is correct because it matches the solution we obtained by solving the proportion |
3 |
11 |
Choice.C |
Incorrect. The correct value of x is 3, not 6 |
6 |
12 |
Choice.D |
Incorrect. The correct value of x is 3, not 5 |
5 |
13 |
Answer |
Option |
B |
14 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
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