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Equations with Special Cases
100

4 = -8 + x

x= 12

100

6x – 13 = 11

x= 4

100

(x+1)/5=10

x = 49

100

Solving Equations

5n - 2 = 8n - 14

n = 4

100

3x + 4x 

7x

100

2x + 4 = 10 

x = 3 

1 solution 

200

x + 12 = 0

x= -12

200

3x + 5 = 14

x= 3

200

(3x+3)/2=9

x = 5

200

Solving Equations

32p + 1 = -79 - 8p

p = -2

200

5a + 2a - 3 

7a - 3 

200

4x + 2 = 4x + 2 

2 = 2 

True, All Real Numbers 

300

122 = -2x

x= -61

300

(x/2) +10=-8

x= -36


WILD CARD - BONUS 100 POINTS - IF CORRECT

300

(x+5)/25 = 4

x = 95

300

Solving Equations

14n - 30 + 22n + 18 = 8n - 40

n = -1

300

2(3x+5) - 4x 

6x + 10 - 4x 

2x + 10 

300

5x + 3 = 5x - 9 

3 = -9 

False, No solution 

400

-5x = -80

x= 16

400

(x/2)-4=10

x= 28

400

172 = 2(2a + 3) 

BONUS QUESTION (PBIS POINTS)

a=7

400

Solving Equations

5x + 5 + 4x = 4 - 3x + 6

x= 5/12    or    x= 0.41667


WILD CARD - BONUS 100 POINTS - IF CORRECT

400

4m + 3(2m-5) 

4m + 6m - 15 

10m - 15 

400

3(x+4)=3x+12 

12=12

True, All Real Numbers 

500

-16 = x/2


x= -32

500

(x/3)+12=-3

x= -45

500

-54 = (-8x - 52)/2

X =7

500

Solving Equations

-40n + 86 - n = - 22 - 5n

n = 3

500

-2(4x-3)+5x+7

-8x+6+5x+7

-3x + 13 

500

2(x+5)+3=2x+11 

13=11 

False, No Solution 

600

w/4 = -8

w = -32

600

25 = 1/4n - 3

n = 112

Steps:

25 = 1/4n - 3
+ 3           +3

28 = 1/4n

now multiply by 4 or (4/1), combine like terms and simplify 4 * 1/4n.

4 * 28 = 4 * 1/4n

112 = n


600

Solving Equations 

(4(6 + 5x))/4 = 31


x = 5

600

 2x - 4 = 3x + 2(x - 3) 

x= 2/3

600

4(3x-2)-3(2x-5)+7

12x-8-6x+15+7 

6x + 14

600

5(x-4)+3x = 8x - 20 

-20=-20 

True, All Real Numbers