1. Multi-Step Equation
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3. x + 3(x + 4) = 20 x + 3x + 12 = 20 4x + 12 = 20 4x = 8 x = 2 50 POINTS
ANSWER
x = 2
BACK

4. 6(y – 1) + 8 = 32 6y – 6 + 8 = 32 6y + 2 = 32 6y = 30 y = 5 50 POINTS
ANSWER
y = 5
BACK

5. 5 + 4(n + 9) = -3 5 + 4n + 36 = -3 4n + 41 = -3 4n = -44 n = -11
50 POINTS
5 + 4(n + 9) = -3
5 + 4n + 36 = -3 4n + 41 = -3 4n = -44
ANSWER
n = -11
BACK

6. 5(k – 2) – 8k = -34 5k – 10 – 8k = -34 -3k – 10 = -34 -3k = -24
50 POINTS
5(k – 2) – 8k = -34
5k – 10 – 8k = k – 10 = k = -24
ANSWER
k = 8
BACK

7. 50 POINTS
2 = (m + 3)
2 = m + 9
2 = 3m + 20
-18 = 3m
ANSWER
m = -6
BACK

8. -2(p – 5) + 7p = -5 -2p + 10 + 7p = -5 5p + 10 = -5 5p = -15 p = -3
50 POINTS
-2(p – 5) + 7p = -5
-2p p = -5 5p + 10 = -5 5p = -15
ANSWER
p = -3
BACK

9. 50 POINTS
4a – 2(a + 9) = 6
4a – 2a – 18 = 6 2a – 18 = 6
2a = 24
ANSWER
a = 12
BACK

10. 7 – 4(d – 3) = 23 7 – 4d + 12 = 23 -4d + 19 = 23 -4d = 4 d = -1
50 POINTS
7 – 4(d – 3) = 23
7 – 4d + 12 = 23 -4d + 19 = 23 -4d = 4
ANSWER
d = -1
BACK

11. 8x – 11(x – 2) = -8 8x – 11x + 22 = -8 -3x + 22 = -8 -3x = -30 x = 10
100 POINTS
8x – 11(x – 2) = -8
8x – 11x + 22 = -8 -3x + 22 = -8
-3x = -30
ANSWER
x = 10
BACK

12. 100 POINTS
5 = 6(q – 5) – 19
5 = 6q – 30 – = 6q – = 6q
ANSWER
q = 9
BACK

13. 3(3 – y) + 1 = 31 9 – 3y + 1 = 31 -3y + 10 = 31 -3y = 21 y = -7
100 POINTS
3(3 – y) + 1 = 31
9 – 3y + 1 = 31
-3y + 10 = 31 -3y = 21
ANSWER
y = -7
BACK

14. 100 POINTS
5(2v + 4) = 170
10v + 20 = v = 150
ANSWER
v = 15
BACK

15. 100 POINTS
5(4n – 4) = -60
20n – 20 = n = -40
ANSWER
n = -2
BACK

16. 100 POINTS
2(3d – 8) – 4d = 10
6d – 16 – 4d = 10 2d – 16 = 10
2d = 26
ANSWER
d = 13
BACK

17. 9 – 4(2p – 1) = 45 9 – 8p + 4 = 45 -8p + 13 = 45 -8p = 32 p = -4
250 POINTS
9 – 4(2p – 1) = 45
9 – 8p + 4 = 45 -8p + 13 = 45 -8p = 32
ANSWER
p = -4
BACK

18. -4(5x – 2) + 5 = -7 -20x + 8 + 5 = -7 -20x + 13 = -7 -20x = -20 x = 1
250 POINTS
-4(5x – 2) + 5 = -7
-20x = x + 13 = -7
-20x = -20
ANSWER
x = 1
BACK

19. 250 POINTS
4(3x + 2) – 18 = 14
12x + 8 – 18 = 14 12x – 10 = 14 12x = 24
ANSWER
x = 2
BACK

20. 250 POINTS
28 – 6(2y + 4) = 124
28 – 12y – 24 = y + 4 = y = 120
ANSWER
y = -10
BACK

21. -(5x + 8) + 12 = 34 -5x – 8 + 12 = 34 -5x + 4 = 34 -5x = 30 x = -6
250 POINTS
-(5x + 8) + 12 = 34
-5x – = 34 -5x + 4 = 34 -5x = 30
ANSWER
x = -6
BACK

22. 10k – 3(8 – 5k) = -74 10k – 24 + 15k = -74 25k – 24 = -74 25k = -50
250 POINTS
10k – 3(8 – 5k) = -74
10k – k = k – 24 = -74
25k = -50
ANSWER
k = -2
BACK

23. -6(2x – 3) + 15 = 9 -12x + 18 + 15 = 9 -12x + 33 = 9 -12x = -24 x = 2
250 POINTS
-6(2x – 3) + 15 = 9
-12x = 9
-12x + 33 = 9 -12x = -24
ANSWER
x = 2
BACK

24. 500 POINTS
8(3a – 5) + 20 = -68
24a – = a – 20 = -68
24a = -48
ANSWER
a = -2
BACK

25. 500 POINTS
15 + 3(2x – 9) = 60
15 + 6x – 27 = 60 6x – 12 = 60 6x = 72
ANSWER
x = 12
BACK

26. 17 – (6m + 3) = -16 17 – 6m – 3 = -16 -6m + 14 = -16 -6m = -30 m = 5
500 POINTS
17 – (6m + 3) = -16
17 – 6m – 3 = m + 14 = m = -30
ANSWER
m = 5
BACK

27. 500 POINTS
3(2p – 1) + 5 = 14
6p – = 14
6p + 2 = 14
6p = 12
ANSWER
p = 2
BACK

28. 500 POINTS
17x – 3(4 + 5x) = 44
17x – 12 – 15x = 44
2x – 12 = 44
2x = 56
ANSWER
x = 28
BACK

29. 15 – (2r + 7) = 14 15 – 2r – 7 = 14 -2r + 8 = 14 -2r = 6 r = -3
500 POINTS
15 – (2r + 7) = 14
15 – 2r – 7 = 14
-2r + 8 = 14
-2r = 6
ANSWER
r = -3
BACK

30. 500 POINTS
35 – 5(2x + 3) = 20
35 – 10x – 15 = 20
-10x + 20 = 20
-10x = 0
ANSWER
x = 0
BACK

31. 7d – 2(3 + 4d) = 19 7d – 6 – 8d = 19 -d – 6 = 19 -d = 25 d = -25
500 POINTS
7d – 2(3 + 4d) = 19
7d – 6 – 8d = 19 -d – 6 = 19 -d = 25
ANSWER
d = -25
BACK

32. 500 POINTS
10(5x – 3) = 20
50x – 30 = 20
50x = 50
ANSWER
x = 1
BACK

33. 500 POINTS
9a – 15 – 5a = 27
4a – 15 = 27 4a = 32
ANSWER
a = 8
BACK

34. 500 POINTS
5 – 7m + 9m = 11
2m + 5 = 11 2m = 6
ANSWER
m = 3
BACK

35. 6a + 4 – 9a + a = 10 -2a + 4 = 10 -2a = 6 a = -3 500 POINTS ANSWER
BACK

36. 6(x + 3) – (x + 4) = -11 6x + 18 – x – 4 = -11 5x + 14 = -11 5x = -25
500 POINTS
6(x + 3) – (x + 4) = -11
6x + 18 – x – 4 = -11 5x + 14 = -11 5x = -25
ANSWER
x = -5
BACK

37. 13x – 2(x + 4) – 8x = 1 13x – 2x – 8 – 8x = 1 3x – 8 = 1 3x = 9
1000 POINTS
13x – 2(x + 4) – 8x = 1
13x – 2x – 8 – 8x = 1 3x – 8 = 1
3x = 9
ANSWER
x = 3
BACK

38. 5(2y – 7) – 15y = -10 10y – 35 – 15y = -10 -5y – 35 = -10 -5y = 25
1000 POINTS
5(2y – 7) – 15y = -10
10y – 35 – 15y = y – 35 = y = 25
ANSWER
y = -5
BACK

39. 1000 POINTS
15w – 3(3w + 4) = 6
15w – 9w – 12 = 6 6w – 12 = 6
6w = 18
ANSWER
w = 3
BACK

40. 3(x + 2) – 2(x + 1) = 8 3x + 6 – 2x – 2 = 8 x + 4 = 8 x = 4
1000 POINTS
3(x + 2) – 2(x + 1) = 8
3x + 6 – 2x – 2 = 8
x + 4 = 8
ANSWER
x = 4
BACK

41. 2m – (m + 1) = 0 2m – m – 1 = 0 m – 1 = 0 m = 1 1000 POINTS ANSWER
BACK

42. 1000 POINTS
2(c – 1) + 1 = 19
2c – = 19
2c – 1 = 19 2c = 20
ANSWER
c = 10
BACK

43. -2k + 15 + 4k + 15 = -6 2k + 30 = -6 2k = -36 k = -18 1000 POINTS
ANSWER
k = -18
BACK

44. 1000 POINTS
5n + 26 – 3n = 54
2n + 26 = 54 2n = 28
ANSWER
n = 14
BACK

45. 2 – (x – 4) + 5x = -10 2 – x + 4 + 5x = -10 4x + 6 = -10 4x = -16
1000 POINTS
2 – (x – 4) + 5x = -10
2 – x x = -10 4x + 6 = -10
4x = -16
ANSWER
x = -4
BACK

46. 1000 POINTS
-2(1 + 5a) – 4(4a + 3) = 64
-2 – 10a – 16a – 12 = a – 14 = a = 78
ANSWER
a = -3
BACK

47. 1000 POINTS
-5(x – 2) – (x + 2) = 50
ANSWER
-5x + 10 – x – 2 = x + 8 = x = 42
x = -7
BACK