Question

unit 3: algebra basics
name:
homework 2: combining like terms
date:
bell:
directions: simplify each expression by combining like terms.

1. 9 - 8
2. 5x - 7x + 1
3. 80 + 8 + 4x - 1
4. 5 + 14 - 3y + 5
5. x + 2 + 15x
6. 5x + 3 + 7x + 9
7. 80 + 8 + 25 + 2
8. 40 - 8x + 4x + 5
9. 9x + 8 + 2x + 3 - 5x
10. 4y - 8y + 5y - 3y
11. 2x + 4y + 5 + 3x + 4y + 2
12. 3b - 2c + 1 - 5b - 4 + 1
13. 8 + 3a + 8 + 4a + 4a + 5
14. 6a² - 2a - 3 + 5a² - 5a + 8
15. 8c² - c + 3 + 2c² - c + 2
16. -10x²y - 5xy
17. 6a²b² + 3ab² + a²b² + 4ab²
18. 18x² + 4y² + 5y² + 16x²
19. write the perimeter of the rectangle as a simplified expression.
20. write the perimeter of the triangle as a simplified expression.

Explanation:

Step1: Recall the formula for the perimeter of a rectangle

The perimeter \(P\) of a rectangle is given by \(P = 2(l + w)\), where \(l\) is the length and \(w\) is the width. Here, \(l=2x + 1\) and \(w=x + 3\).

Step2: Substitute the values into the formula

$$
LATEXBLOCK0
$$

Answer:

\(6x + 8\)