8th grade: Riddle

Set 1

100

5(x-1) = 35

3x-1-7x = -33

x = 8

#7 is S

200

40 = 15 - 9x - 2

6(x-1) - x = -21

x = -3

#4 is R

300

-2(x - 5) - 4 = -22

2(2x - 9) = 38

x= 14

#10 is A

400

-13 = 4(5x - 1) - 11x

24 = 28 - 9x + 13x

x = -1

#14 is O

500

4 - 2(3x + 1) = 32

-41 = -18 - (3 - 4x)

x= -5

#16 is T

Set 2

100

7n + 15 = 5n - 9

-5n -34 = 14 - n

n = -12

#3 is G

200

-4n - 1 = 2n - 25

-3n - 16 = 4n - 44

n = 4

#17 is S

300

16 - 2n = n - 11

-6n + 5 = 2n - 67

n = 9

#13 is R

400

-15 - 5n = 3n + 41

18 - 4n = 2n + 60

n = -7

#1 is I

500

n - 26 = 28 - 2n

9n - 14 = 5n + 58

n = 18

#9 is U

Set 3

100

2(3a + 5) = 2a + 54

1/2(8a - 20) = 2(a + 6)

a = 11

#6 is W

200

4 - 7a = 3 - a + 13

7(3a + 4) = 11(a -1) + 19

a= -2

#12 is E

300

5(2a - 3) = 3(a - 19)

6a + 34 = 3 - (2a + 17)

a = -6

#8 is Q

400

3(4 - a) = 2(a + 6)

4(2a - 9) = 5(3a - 7) -1

a = 0

#2 is T

500

8 - (2a + 7) = a + 40

16 - 5a + 2a -1 = 41 - a

a = -13

#11 is R