Lesson Topics Discussion Quiz: Class Homework |
Steps-3 |
Title: Solve an Equation with Multiplication and Division |
Grade 6+ Lesson s3-l6 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Quiz: Discussion Step
| Id | Type | Name | Note |
|---|---|---|---|
1 |
Problem |
Solve the equation \$ (a/2) - 7 = 3 + 5 \$ |
|
2 |
Step |
The given equation |
\$ (a/2) - 7 = 3 + 5 \$ |
3 |
Step |
First, let’s simplify the right side of the equation: |
\$ (a/2) - 7 = 8 \$ |
4 |
Step |
To isolate a, we’ll first add 7 to both sides: |
\$ (a/2) - 7 + 7 = 8 + 7\$ \$ a/2 = 15 \$ |
5 |
Step |
Multiply both sides by 2 to solve for a: |
a = 30 |
6 |
Solution |
So, the solution to the equation is a = 30. |
|
7 |
Sumup |
Please Summarize Problem, Hint, Clue, Formula and Steps |
|
Choices |
|||
8 |
Choice-A |
Correct; substituting a = 30 into the original equation, we get \$ (30/2) - 7 = 3 + 5 \$, which is equal to 8 |
Correct 30 |
9 |
Choice-B |
When a is 24, half of it is 12. Subtracting 7 from 12 gives us 5, which is not equal to the right side of the equation (8). Therefore, 24 is not the correct value for 'a' |
Wrong 24 |
10 |
Choice-C |
If a is 21, then \$a/2\$ is 10.5. Subtracting 7 from 10.5 results in 3.5, which is not equal to 8. Thus, 21 cannot be the solution |
Wrong 21 |
11 |
Choice-D |
Incorrect; substituting a = 42 into the original equation, we get \$ (42/2) - 7 = 14 \$, which is not equal to 8 |
Wrong 42 |
12 |
Step |
Option |
A |
13 |
Sumup |
Please Summarize Choices |
|
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