Lesson Example Discussion Quiz: Class Homework |
Step-4 |
Title: Linear Equations with One Variable |
Grade: 1300-a Lesson: S1-L1 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
Step | Type | Explanation | Answer |
---|---|---|---|
1 |
Problem |
Solve the equation: 2(3x - 1) = 5(2x + 4) - 3. |
|
2 |
Hint |
Move the variable terms to one side and the constant terms to the other side. |
|
3 |
Step |
After making the equation simpler |
6x - 2 = 10x + 20 - 3 6x - 10x = 20 - 3 + 2 ⇒ - 4x = 19 |
4 |
Step |
To solve for x, we can divide both sides by - 4 |
\$ x = - 19/4 \$ |
5 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
|
6 |
Choice.A |
Plug in a particular value for x reveals an incorrect solution, making the equation invalid and unsuitable |
\$ x = 18/4 \$ |
7 |
Choice.B |
Plug in a particular value for x reveals an incorrect solution, making the equation invalid and unsuitable |
\$x = - 18/4\$ |
8 |
Choice.C |
Plug in a particular value for x reveals an incorrect solution, making the equation invalid and unsuitable |
\$x = 19/4\$ |
9 |
Choice.D |
Substitute x into the equation to verify its accuracy and obtain valid solutions for the problem |
\$x = - 19/4 \$ |
10 |
Answer |
Option |
D |
11 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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