Chapter B2 – The Algebra of Rational Numbers 5/07(No Change 9/09)
DRILL SHEET #2
Simplify:
1. 14x + 4 + 6x + 7 1. 20x + 11
2. 3x – 4 – 19x – 5 2. –16x –9
3. –13x + 3 – 2x – 17 3. –15x –14
4. –9 + 2x + x – 6 4. 3x – 15
5. –3x + 25 + x – 18 5. -2x + 7
6. 2(3x – 1) + 4 6. = 6x – 2 + 4
= 6x + 2
7. -3(x + 2) + 2x 7. = -3x – 6 + 2x
= -x – 6
8. 5 – 2(3x – 1) 8. = 5 – 6x + 2
= -6x + 7
9. -4(2x + 3) + 5x 9. = -8x – 12 + 5x
= -3x – 12
10. 3(x + 2) + 3(5x + 1) 10. = 3x + 6 + 15x + 3
= 18x + 9
11. 3(5x – 3) + 2(x + 3) 11. = 15x – 9 + 2x + 6
= 17x – 3
12. 5(x + 1) – 4(x – 6) 12. = 5x + 5 – 4x + 24
= x + 29
13. –4(2x + 5) – 3(4x – 7) 13. = -8x – 20 – 12x + 21
= -20x + 1
14. –5 (-2x + 3) – (4x – 8) 14. = 10x – 15 – 4x + 8
= 6x – 7
15. – x 15.
16. 16.
17. 17.
18. 18.
19. 19.
20. 20.
21. 21.
22. 22.
23. 23.
24. 24.
25. 25.
26. (6x + 8) + (8x + 12) 26. = 3x + 4 + 2x + 3
= 5x + 7
27. (8x + 4) + (6x + 3) 27. = 6x + 3 + 10x + 5
= 16x + 8
28. (9x – 15) – (20x – 5) 28. = 6x – 10 – 12x + 3
= -6x –7
29. (14x – 28) – (6x + 18) 29. = 8x – 16 – 9x – 27
= -x – 43
30. - (45x – 27) + (-9x + 15) 30. = -25x + 15 – 3x + 5
= -28x + 20
1