9th-grade Math Exercise 3.4

1. Simplify the expression: 3x + 2y - 4x - y
2. Solve for x: 5x + 8 = 23
3. Solve for y: 2y - 7 = 11
4. Find the perimeter of a rectangle with length 6 cm and width 4 cm.
5. Find the area of a triangle with base 10 cm and height 8 cm.
6. Solve for x: 2(x + 5) = 18
7. Solve for y: 3y - 4 = 14
8. Find the volume of a cube with side length 5 cm.
9. Find the circumference of a circle with radius 6 cm.
10. Solve for x: 4(2x - 3) = 20.

Exercise 3.4

Simplifying Algebraic Expressions

A. Simplify the following expressions:

1. 3x + 2y - x + 5y
2. 4a - 2b + 3a + 5b
3. 2x² - 5x + x² + 3x
4. 3y³ - 2y² + y³ - 5y²
5. 4a² + 3ab - 2a² + 5ab

B. Combine like terms and simplify:

6. 5x + 3 - 2x + 7
7. 4y² - 3y + 2y² + 5y
8. 2x³ - 5x² + x³ - 3x²
9. -3a² + 5ab - 2a² - 7ab
10. 4x⁴ - 2x³ + 5x⁴ - 3x³

C. Write the following expressions in simplest form:

11. 2(x - 3) + 5
12. 3(a + 2) - 4
13. 4x(x + 2y) - 5x
14. 2y(3y - 2x) + 3x
15. 5a(2a + 3b) - 2ab