1. Equation Review
Given in class 10/4/13

2. -3(x – 1) + 9 = 15 -3x + 3 + 9 = 15 -3x + 12 = 15 -3x = 3 X = -1
Question 1
-3(x – 1) + 9 = 15 -3x = 15 -3x + 12 = 15 -3x = 3 X = -1

3. Question 2
4(x + 2) – 9 = 3 4x + 8 – 9 = 3 4x – 1 = 3 4x = 4 X = 1

4. Question 3
6y – (6 + 4y) = 26 6y – 6 – 4y = 26 2y – 6 = 26 2y = 32 Y = 16

5. Question 4
2(11 – a) = a – 5 22 – 2a = a – 5 22 = 3a – 5 27 = 3a 9 = a

6. m – 4m + 10 = 2m – 5 -3m + 10 = 2m – 5 10 = 5m – 5 15 = 5m 3 = m
Question 5
m – 4m + 10 = 2m – 5 -3m + 10 = 2m – 5 10 = 5m – 5 15 = 5m 3 = m

7. Question 6
q – 5 – ( -2) = 7 – q q – = 7 – q q – 3 = 7 – q 2q – 3 = 7 2q = 10 q = 5

8. u – 3 – 2u = u + 13 -u – 3 = u + 13 -3 = 2u + 13 -16 = 2u -8 = u
Question 7
u – 3 – 2u = u u – 3 = u = 2u = 2u -8 = u

9. – 7n – 7 = 5(n + 1) -7n – 7 = 5n + 5 -7 = 12n + 5 -12 = 12n -1 = n
Question 8
– 7n – 7 = 5(n + 1) -7n – 7 = 5n = 12n = 12n -1 = n

10. 2(x + 8) = -2x + 16 2x + 16 = -2x + 16 4x + 16 = 16 4x = 0 X = 0
Question 9
2(x + 8) = -2x x + 16 = -2x x + 16 = 16 4x = 0 X = 0

11. 16 – 2e = -4e – 5 – e 16 – 2e = -5e – 5 16 + 3e = -5 3e = -21 E = -7
Question 10
16 – 2e = -4e – 5 – e 16 – 2e = -5e – e = -5 3e = -21 E = -7

12. Question 11
2(4a – 12) + 3a = 6a + 1 8a – a = 6a a – 24 = 6a + 1 5a – 24 = 1 5a = 25 A = 5

13. Question 12
10u + 7 = 8(2u – 4) – 9
10u + 7 = 16u – 32 – 9
10u + 7 = 16u – 41
7 = 6u – 41
= 6u
8 = u

14. Question 13
9(2 + w) – 4w = 3w w – 4w = 3w w = 3w – w = -10 2w = -28 W = -14

15. Question 14
3(4d + 1) – 9d = 6(2- d) 12d + 3 – 9d = 12 – 6d 3d + 3 = 12 – 6d 9d + 3 = 12 9d = 9 D = 1

16. Question 15
6(1 + 3m ) = -8(-2m + 5) – m = 16m – 40 – m =16m – m = -44 2m = -50 M = -25

17. Question 16
(x + 10) = 7(2x + 4) + x x + 30 = 14x x x = 15x = 12x = 12x -1 = x

18. Question 17
6p – (5p + 5) = -8 – 2(p + 12) 6p – 5p – 5 = -8 – 2p – 24 1p – 5 = -32 – 2p 3p – 5 = -32 3p = -27 P = -9

19. – 2 (18 – 3y ) = 7y + 2y -36 + 6y = 9y -36 = 3y -12 = y
Question 18
– 2 (18 – 3y ) = 7y + 2y y = 9y -36 = 3y -12 = y