https://file.aiquickdraw.com/mathbot/file/1726563093075fa5e36r1.pdf

The document contains a set of revision questions for Grade 7 mathematics. Let's work through a couple of the problems from the uploaded PDF:

1. **Solve for \( x \) in the equation:**
   \[
   5x - 8 = 22
   \]
   **Solution:**
   \[
   5x = 22 + 8
   \]
   \[
   5x = 30
   \]
   \[
   x = \frac{30}{5} = 6
   \]
   The value of \( x \) is \( 6 \). Therefore, the correct option is (d).

2. **Evaluate the expression:**
   \[
   \frac{3}{10} - \frac{4}{18} \times (-1)
   \]
   First, simplify \( \frac{4}{18} \times (-1) \):
   \[
   \frac{4}{18} = \frac{2}{9}
   \]
   So the expression becomes:
   \[
   \frac{3}{10} - \left(-\frac{2}{9}\right) = \frac{3}{10} + \frac{2}{9}
   \]
   Now, find a common denominator:
   \[
   \text{LCM of 10 and 9 is 90}
   \]
   \[
   \frac{3}{10} = \frac{27}{90}, \quad \frac{2}{9} = \frac{20}{90}
   \]
   Therefore:
   \[
   \frac{27}{90} + \frac{20}{90} = \frac{47}{90}
   \]
   The final answer is \( \frac{47}{90} \).

Would you like to proceed with additional problems, or need further clarifications on these? Here are some related questions:

1. Can you solve \( 7x - 12 = 4x - 6 \)?
2. What is the solution of \( 3x^2 + x - 1 \) when \( x = -2 \)?
3. What is the sum of \( x^3 - 4x^2y + 6xy^2 \) and \( 7x^3 - 4x^2y + 9xy^2 \)?
4. How do you find the dimensions of a rectangle with a perimeter of 72 cm if the length exceeds the width by 10 cm?
5. What is the rotational symmetry order of a regular hexagon?

**Tip:** When solving equations, always isolate the variable on one side by using inverse operations (addition, subtraction, multiplication, or division).

This page covers essential Grade 7 math problems, including solving linear equations like 5x - 8 = 22, simplifying rational expressions, and understanding rotational symmetry. Step-by-step solutions provided for students.

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