Question

Simplify each expression.

1. 3x + 2(5x - 7)
2. 9 - 3(2x - 4)
3. 8x - 6(3 - 2x)
4. -5 + 5(x + 4)
5. 4 (6n + 9) - 10n
6. 14 - 3(4n - 1)
7. -8n + 8(4 + 2n)
8. 7k - 2(3k + 1) - 9
9. k + 1 - 4(2k - 9)
10. -6 + 5(8 - k) - 8k
11. -10k - 3 + 2(5 + 6k)
12. 8 + 9x + 4(11 - 2x)
13. -4(2x - 7) + 6x - 7
14. 9 + 3(4 - 3x) + 12x
15. 5(2y - 4) + 2(y + 9)
16. -4(3u - 1) +7(3 - 2u)
17. 6(-5u + 1) - 3(4u - 12)
18. -3(u + 5) + 8(2u + 1)

​

Answer 1

Below ↓

Explanation:

`1)\:\sf 3x + 2(5x - 7)`

`\sf 3x+10x-14`

`\sf 13x-14`

____________

`\sf 2)\: 9 - 3(2x - 4)`

`\sf 9-6x+12`

`\sf -6x+21`

____________

`\sf 3)\: 8x - 6(3 - 2x)`

`\sf 8x-18+12x`

`\sf 20x-18`

____________

`\sf 4)\: -5 + 5(x + 4)`

`\sf -5+5x+20`

`\sf 5x+15`

____________

`\sf 5) \:4 (6n + 9) - 10n`

`\sf 24n+36-10n`

`\sf 14n+36`

____________

`\sf 6)\:14 - 3(4n - 1)`

`\sf 14-12n+3`

`\sf -12n+17`

______________

`\sf 7) \: -8n + 8(4 + 2n)`

`\sf -8n+32+16n`

`\sf 8n+32`

______________

`\sf 8)\:7k - 2(3k + 1) - 9`

`\sf 7k-6k-2-9`

`\sf k-11`

______________

`\sf 9)\: k + 1 - 4(2k - 9)`

`\sf k+1-8k+36`

`\sf -7k+37`

_______________

`\sf 10)\:-6 + 5(8 - k) - 8k`

`\sf -6+40-5k-8k`

`\sf 34-13k`

__________________

`\sf 11)\: -10k - 3 + 2(5 + 6k)`

`\sf -10k-3+10+12k`

`\sf 2k+7`

__________________

`\sf 12)\: 8 + 9x + 4(11 - 2x)`

`\sf 8+9x+44-8x`

`\sf x+52`

_________________

`\sf 13)\: -4(2x - 7) + 6x - 7`

`\sf -8x+28+6x-7`

`\sf -2x+21`

_________________

`\sf 14)\: 9 + 3(4 - 3x) + 12x`

`\sf 9+12-9x+12x`

`\sf 3x+21`

_________________

`\sf 15)\: 5(2y - 4) + 2(y + 9)`

`\sf 10y-20+2\left(y+9\right)`

`\sf 10y-20+2y+18`

`\sf 12y-2`

____________________

`\sf 16)\: -4(3u - 1) +7(3 - 2u)`

`\sf -12u+4+7\left(3-2u\right)`

`\sf -12u+4+21-14u`

`\sf -26u+25`

___________________

`\sf 17)\: 6(-5u + 1) - 3(4u - 12)`

`\sf -30u+6-3\left(4u-12\right)`

`\sf -30u+6-12u+36`

`\sf -42u+42`

___________________

`\sf 18)\: -3(u + 5) + 8(2u + 1)`

`\sf -3u-15+8\left(2u+1\right)`

`\sf -3u-15+16u+8`

`\sf 13u-7`

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Answer 2

1. 13x - 14

2. 21 - 6x

3. 20x - 18

4. 15 + 5x

5. 14n + 36

6. 9 - 12n

7. 8n + 32

8. k - 11

9. -7k +37

10. 36 - 13k

11. 2k + 7

12. 52 + x

13. -2x -21

14. 21 + 3x

15. 12v - 2

Explanation: