Instructions
Below are different algebra equations and questions related to BODMAS. Please solve the equations and answer the questions in the spaces provided.
Part 1: Solving Algebraic Equations
1. Solve the equation for x: 2x + 5 = 13
2. Solve the equation for y: 3y - 4 = 11
3. Solve for x: 4(x + 2) = 28
4. Solve for y: 5 - 2y = 3y + 10
Part 2: BODMAS Questions
5. What does BODMAS stand for? Write the full form:
6. Solve the following expression using BODMAS: 6 + 2 × (3 + 1)
7. Evaluate the following expression using BODMAS: (5 + 3)² - 4 ÷ 2
8. If you start with 10, subtract 2, then multiply by 3, and finally add 5, what do you get? Show your calculation step-by-step.
Part 3: Real-Life Application
9. A rectangle has a length of (3x + 2) cm and a width of (2x - 1) cm. Write an equation for the area of the rectangle and simplify it:
10. Using your answer from question 9, calculate the area when x = 2: