Solving Equations Review

One-Step Equations

100

4 = -8 + x

x= 12

200

x + 12 = 0

x= -12

300

122 = -2x

x= -61

400

-5x = -80

x= 16

500

-16 = x/2

x= -32

600

w/4 = -8

w = -32

Two-Step Equations

100

6x – 13 = 11

x= 4

200

3x + 5 = 14

x= 3

300

(x/2) +10=-8

x= -36

WILD CARD - BONUS 100 POINTS - IF CORRECT

400

(x/2)-4=10

x= 28

500

(x/3)+12=-3

x= -45

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

Multi-Step Equations

100

(x+1)/5=10

x = 49

200

(3x+3)/2=9

x = 5

300

(x+5)/25 = 4

x = 95

400

172 = 2(2a + 3) 

BONUS QUESTION (PBIS POINTS)

a=7

500

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

X =7

600

Solving Equations 

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

x = 5

Multi-Step Equations w/ Variables on Both Sides

100

Solving Equations

5n - 2 = 8n - 14

n = 4

200

Solving Equations

32p + 1 = -79 - 8p

p = -2

300

Solving Equations

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

n = -1

400

Solving Equations

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

x= 5/12    or    x= 0.41667

WILD CARD - BONUS 100 POINTS - IF CORRECT

500

Solving Equations

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

n = 3

600

 2x - 4 = 3x + 2(x - 3) 

x= 2/3

Expressions

100

3x + 4x 

7x

200

5a + 2a - 3 

7a - 3 

300

2(3x+5) - 4x 

6x + 10 - 4x 

2x + 10 

400

4m + 3(2m-5) 

4m + 6m - 15 

10m - 15 

500

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

-8x+6+5x+7

-3x + 13 

600

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

12x-8-6x+15+7 

6x + 14

Equations with Special Cases

100

2x + 4 = 10 

x = 3 

1 solution 

200

4x + 2 = 4x + 2 

2 = 2 

True, All Real Numbers 

300

5x + 3 = 5x - 9 

3 = -9 

False, No solution 

400

3(x+4)=3x+12 

12=12

True, All Real Numbers 

500

2(x+5)+3=2x+11 

13=11 

False, No Solution 

600

5(x-4)+3x = 8x - 20 

-20=-20 

True, All Real Numbers