Lesson Example Discussion Quiz: Class Homework |
Step-4 |
Title: Linear Equations with One Variable |
Grade: 10-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 |
Step |
Move the x terms to one side and the constant terms to the other side, then simplify the equation |
6x - 10x = 20 - 3 + 2 ⇒ - 4x = 19 |
3 |
Step |
To find x, divide each side by - 4 |
\$ x = (- 19)/4 \$ |
4 |
Choice.A |
This option suggests the solution is \$18/4\$, which simplifies to 4.5. However, the solution we found was \$−19/4\$, so this option is incorrect |
\$ x = 18/4 \$ |
5 |
Choice.B |
This option suggests the solution is \$-18/4\$, which simplifies to -4.5. The solution we found was \$-19/4\$, so this option is incorrect |
\$x = - 18/4\$ |
6 |
Choice.C |
This option suggests the solution is \$19/4\$, which is 4.75. However, the solution we found was \$-19/4\$, so this option is incorrect |
\$x = 19/4\$ |
7 |
Choice.D |
This option suggests the solution is \$-19/4\$, which is approximately - 4.75. This matches the solution we found: \$-19/4\$ |
\$x = - 19/4 \$ |
8 |
Answer |
Option |
D |
9 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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