Here are some Grade 9 algebraic questions:

1. **Question 1:**  
   Solve the equation for \( x \):  
   \[
   3x - 7 = 2x + 5
   \]

2. **Question 2:**  
   Simplify the expression:  
   \[
   4(2x + 3) - 3(x - 2)
   \]

3. **Question 3:**  
   Factor the quadratic expression:  
   \[
   x^2 + 5x + 6
   \]

4. **Question 4:**  
   Solve the system of equations:  
   \[
   \begin{aligned}
   2x + y &= 10 \\
   3x - y &= 5
   \end{aligned}
   \]

5. **Question 5:**  
   If the perimeter of a rectangle is given by \( P = 2l + 2w \), where \( l \) is the length and \( w \) is the width, and \( P = 40 \) and \( w = 8 \), find the length \( l \).

Would you like to solve any of these questions or need help with the solutions?

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**Related Questions:**
1. Solve for \( x \) in \( 5x + 12 = 2(x + 4) + 8 \).
2. Factor the expression \( x^2 - 9x + 14 \).
3. Simplify the expression \( 2(x - 3) + 4(x + 5) \).
4. Determine the roots of the quadratic equation \( x^2 - 4x - 12 = 0 \).
5. Solve the system of equations \( 4x + 2y = 20 \) and \( x - y = 3 \).

**Tip:** When dealing with algebraic expressions, always remember to follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Explore Grade 9 algebraic questions including solving equations, factoring quadratic expressions, and solving systems of equations. Practice solving problems with step-by-step solutions. Suitable for Grade 9 students learning algebra.

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