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SATPREP Linear Equations Worksheet - 100 Practice Problems in One Variable

SATPREP worksheet featuring 100 linear equations in one variable, numbered and arranged in three columns, with a watermark logo in the center.

SATPREP worksheet featuring 100 linear equations in one variable, numbered and arranged in three columns, with a watermark logo in the center.

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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.

If you need solutions for other problems from the list, please specify which one, and I can provide a detailed solution for that as well!
Parent Tip: Review the logic above to help your child master the concept of linear equations in one variable worksheet.
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