The image shows a "Two-Step Equations Hidden Message Activity" worksheet. The task involves solving two-step equations and matching the solutions to reveal a hidden message. Below is an explanation of how to solve such problems, along with an example.
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Understanding Two-Step Equations
A two-step equation is an algebraic equation that requires two operations to solve for the variable. The general form is:
\[ ax + b = c \]
where \( a \), \( b \), and \( c \) are constants, and \( x \) is the variable.
To solve a two-step equation:
1.
Eliminate the constant term by adding or subtracting.
2.
Eliminate the coefficient by multiplying or dividing.
Example Problem: Solve \( 2x - 5 = 13 \)
#### Step 1: Eliminate the constant term
Add 5 to both sides of the equation:
\[ 2x - 5 + 5 = 13 + 5 \]
\[ 2x = 18 \]
#### Step 2: Eliminate the coefficient
Divide both sides by 2:
\[ \frac{2x}{2} = \frac{18}{2} \]
\[ x = 9 \]
So, the solution is \( x = 9 \).
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General Steps for Solving Two-Step Equations
1. Identify the equation.
2. Perform the inverse operation to eliminate the constant term (addition or subtraction).
3. Perform the inverse operation to eliminate the coefficient (multiplication or division).
4. Simplify to find the value of the variable.
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How to Use the Worksheet
1. Solve each two-step equation on the worksheet.
2. Match the solution to the corresponding letter in the grid.
3. Write the letters in the order they appear to reveal the hidden message.
#### Example from the Image:
- The equation \( \frac{x}{3} + 6 = 5 \) is solved as follows:
1. Subtract 6 from both sides:
\[ \frac{x}{3} + 6 - 6 = 5 - 6 \]
\[ \frac{x}{3} = -1 \]
2. Multiply both sides by 3:
\[ 3 \cdot \frac{x}{3} = -1 \cdot 3 \]
\[ x = -3 \]
The solution \( x = -3 \) corresponds to the letter "Q" in the grid.
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Self-Assessment
The activity is self-assessing because students can check their answers by seeing if the letters form a coherent message. If the message doesn't make sense, they know they need to recheck their work.
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Final Answer
The worksheet is designed to help students practice solving two-step equations while engaging them in a fun, interactive activity. By solving each equation and matching the solutions to letters, students can reveal a hidden message. The specific solution to any given equation depends on the problem, but the process remains consistent as demonstrated above.
If you have a specific equation from the worksheet you'd like me to solve, feel free to ask!
Boxed Final Answer:
\[
\boxed{\text{Solve each equation, match solutions to letters, and reveal the hidden message.}}
\]
Parent Tip: Review the logic above to help your child master the concept of solving one step equations worksheet puzzle.
