Factoring Test Review Answer Key - Algebra 1 Name : Factoring Test ... - Free Printable

It looks like you've uploaded a math worksheet titled "Evaluating Two-Step Equations", which includes several problems involving solving two-step equations. Since I can't view images directly, I’ll guide you through how to solve these types of problems based on the typical structure of such worksheets.

Let me walk you through the general process and then help you solve each problem step by step if you describe them or list the equations.

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🔷 What is a Two-Step Equation?

A two-step equation is an algebraic equation that requires two operations to solve for the variable (usually \( x \)). These operations typically involve:

1. Adding or subtracting
2. Multiplying or dividing

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✔ General Steps to Solve Two-Step Equations:

Let’s say we have:
\[
3x + 5 = 14
\]

Step 1: Undo addition/subtraction
Subtract 5 from both sides:
\[
3x = 9
\]

Step 2: Undo multiplication/division
Divide both sides by 3:
\[
x = 3
\]

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Now, let's assume your worksheet has problems like:

#### Example Problems (common ones):

1. \( 2x + 3 = 7 \)
2. \( 4x - 5 = 11 \)
3. \( \frac{x}{3} + 2 = 5 \)
4. \( 5x + 8 = 3 \)
5. \( \frac{2x}{4} = 6 \)

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Let me solve one of these as an example:

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🟦 Problem: Solve \( 2x + 3 = 7 \)

Step 1: Subtract 3 from both sides
\[
2x = 7 - 3 = 4
\]

Step 2: Divide both sides by 2
\[
x = \frac{4}{2} = 2
\]

✔ Answer: \( x = 2 \)

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🟦 Problem: Solve \( 4x - 5 = 11 \)

Step 1: Add 5 to both sides
\[
4x = 11 + 5 = 16
\]

Step 2: Divide by 4
\[
x = \frac{16}{4} = 4
\]

✔ Answer: \( x = 4 \)

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🟦 Problem: Solve \( \frac{x}{3} + 2 = 5 \)

Step 1: Subtract 2 from both sides
\[
\frac{x}{3} = 5 - 2 = 3
\]

Step 2: Multiply both sides by 3
\[
x = 3 \times 3 = 9
\]

✔ Answer: \( x = 9 \)

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If your worksheet has visual diagrams (like balance scales or tiles), those are likely representing algebra tiles — where:
- A square = \( x \)
- A small rectangle = constant

For example, if you see:
```
[ ] [ ] [ ] + 2 = 8
```
That means: \( 3x + 2 = 8 \)

Then:
- Subtract 2: \( 3x = 6 \)
- Divide: \( x = 2 \)

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🔍 To Help You Better:

Please describe the equations or problems from your image in text form, such as:

> "Problem 1: 3x + 4 = 10"
>
> "Problem 2: 2x - 5 = 11"
>
> "There's a diagram showing three x-tiles and two unit tiles equal to 8."

Or copy-paste the actual equations here.

Once I know the exact problems, I can give you step-by-step solutions with explanations, just like above.

Would you like to do that now?