Question

directions: simplify each expression by combining like terms.

1. ( 8y - 9y )
2. ( 3x - 7x + 1 )
3. ( 8a + 6 + a + 1 )
4. ( -2y + 14 + 9y + 5 )
5. ( -x + 2 + 15x )
6. ( -7w + 5 + 7w + 9 )
7. ( 8d + 4 + d + 2 )
8. ( 40 + 9x + 4x + 5 )
9. ( 9a + 8 + 2a + 3 + 5a )
10. ( 4xy + 6xy + 5y + 9x )
11. ( 7x + 2y + 5 + 5x + 9y + 1 )
12. ( -5f + 7g + f + 5g + 4 + f )
13. ( -6 + 3a + b + 4a + 4b + 5 )
14. ( 6n^{2} + 2n + 3 + 5n^{2} + 9n + 6 )
15. ( 8c^{2} - c + 3 + 2c^{2} - c + 2 )
16. ( -12x^{2}y - 3x^{2}y )
17. ( 6a^{2}b^{2} + 3ab^{2} + a^{2}b^{2} + 4ab^{2} )
18. ( 19x^{2}y + 4xy^{2} + 5xy^{2} + 16x^{2}y )
19. write the perimeter of the rectangle as a simplified expression.
20. write the perimeter of the triangle as a simplified expression.

Explanation:

Step1: Combine like terms for constants

$$ -6 + 5=-1 $$

Step2: Combine like terms for \(a\)

$$ 3a-4a=-a $$

Step3: Combine like terms for \(b\)

$$ b + 4b=5b $$

Step4: Write the simplified expression

Combine the results from above steps: \(-1 - a+5b\)

Answer:

\(-a + 5b-1\)