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Comprehensive math assignment sheet listing 100 practice problems for solving linear equations with one variable.

Math worksheet featuring 100 linear equations in one variable for SAT prep and algebra practice.

Math worksheet featuring 100 linear equations in one variable for SAT prep and algebra practice.

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Show Answer Key & Explanations Step-by-step solution for: An linear equations mean equation with one variable.

Problem: Solve the linear equation in one variable from the provided list.



#### Equation to Solve:
Let's solve Problem 1:
\[ 4x = 4 \]

---

Step-by-Step Solution:



1. Given Equation:
\[
4x = 4
\]

2. Isolate the Variable \( x \):
To isolate \( x \), divide both sides of the equation by 4:
\[
\frac{4x}{4} = \frac{4}{4}
\]

3. Simplify:
\[
x = 1
\]

---

Final Answer:


\[
\boxed{x = 1}
\]

---

Explanation:


The goal of solving a linear equation in one variable is to isolate the variable on one side of the equation. In this case, we divided both sides of the equation by the coefficient of \( x \) (which is 4) to simplify and find the value of \( x \). This method works because it maintains the equality of the equation while isolating the variable.

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Parent Tip: Review the logic above to help your child master the concept of linear equation in one variable worksheet.
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