Lesson Example Discussion Quiz: Class Homework |
Step-1 |
Title: Algebra |
Grade: Best-SAT3 Lesson: S5-P1 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Find the unknown variable x in the equation \$x + 3(x + 2) = 50\$. |
|
2 |
Step |
Moving common terms to one side |
x + 3x + 6 = 50 ⇒ 4x = 44 |
3 |
Step |
Find the x value |
⇒ \$ x = 44/4 \$ ⇒ x = 11 |
4 |
Choice.A |
If we substitute x = 10 into the equation x + 3(x + 2) = 50, we get 10 + 3(10 + 2) = 10 + 3(12) = 10 + 36 = 46, which is not equal to 50. Therefore, option A is incorrect |
\$ x = 10 \$ |
5 |
Choice.B |
If we substitute x = 11 into the equation x + 3(x + 2) = 50, we get 11 + 3(11 + 2) = 11 + 3(13) = 11 + 39 = 50, which is equal to 50. Therefore, option B is correct |
\$x = 11\$ |
6 |
Choice.C |
If we substitute x = 9 into the equation x + 3(x + 2) = 50, we get 9 + 3(9 + 2) = 9 + 3(11) = 9 + 33 = 42, which is not equal to 50. Therefore, option C is incorrect |
\$x = 9\$ |
7 |
Choice.D |
If we substitute x = 12 into the equation x + 3(x + 2) = 50, we get 12 + 3(12 + 2) = 12 + 3(14) = 12 + 42 = 54, which is not equal to 50. Therefore, option D is incorrect |
\$x = 12\$ |
8 |
Answer |
Option |
B |
9 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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