Comprehensive algebra practice sheet designed for young learners to master solving for variables.

The image you uploaded appears to be a math worksheet focused on algebraic expressions and equations. The task involves solving various algebraic problems, including simplifying expressions, solving equations, and performing arithmetic operations with variables.

Since the image is not directly visible in this conversation, I will provide a general explanation of how to approach such problems. If you can describe or list specific problems from the worksheet, I can solve them step by step for you.

General Approach to Solving Algebra Problems

#### 1. Simplifying Expressions
- Combine like terms.
- Use the distributive property to expand expressions.
- Simplify coefficients and variables.

Example:
Simplify \( 3x + 4 - 2x + 7 \).
- Combine like terms: \( (3x - 2x) + (4 + 7) = x + 11 \).

#### 2. Solving Equations
- Isolate the variable on one side of the equation.
- Use inverse operations (addition/subtraction, multiplication/division) to solve for the variable.

Example:
Solve \( 2x + 5 = 11 \).
- Subtract 5 from both sides: \( 2x = 6 \).
- Divide by 2: \( x = 3 \).

#### 3. Arithmetic Operations with Variables
- Perform addition, subtraction, multiplication, and division involving variables.
- Follow the order of operations (PEMDAS/BODMAS).

Example:
Simplify \( 4(x + 3) - 2x \).
- Distribute: \( 4x + 12 - 2x \).
- Combine like terms: \( 2x + 12 \).

#### 4. Substitution
- Substitute given values for variables into expressions or equations.
- Simplify the resulting expression.

Example:
Evaluate \( 3x - 2 \) when \( x = 4 \).
- Substitute \( x = 4 \): \( 3(4) - 2 = 12 - 2 = 10 \).

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Request for Specific Problems

If you can provide specific problems from the worksheet, I can solve them step by step. For example:
- "Simplify \( 5a - 3b + 2a + 4b \)."
- "Solve \( 3y - 7 = 14 \)."
- "Evaluate \( 2x^2 + 3x - 5 \) when \( x = 2 \)."

Let me know which problems you'd like help with!