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1

Define an independent variable

The part of the equation that does NOT depend on another for its value 

1

4 = -8 + x

x= 12

1

6x – 13 = 11

x= 4

1

4x + 3 = 7

x = 1

1

p2 + 14p - 51 = 0

{3, -17}
2

Define a dependent variable

The variable that DEPENDS on another
2

x + 12 = 0

x= -12

2

3x + 5 = 14

x= 3

2

-5p + 1 = 6

p = -1

2

x2 - 12x + 11 = 0

{11,1}

3

What is the independent variable in the equation: 

m = 3n2 - 5n + 3

n is independent

3

3 = -2 – x

x= -5

3

(x/2) + 3 =-8

x= -22

3

3(𝑥 − 9) = −3

x = 8

3

k2 - 12k + 23 = 0

{6+ √13, 6 - √13}

4

What is the dependent variable in the equation:

8d - 3(d + 2) = f

f is the dependent variable

4

5x = -80

x= -16

4

(x/2) + 4 =10

x= 12

4

14 = (3a + 6) + 2

a=2

4

r2 - 4r - 91 = 7

{2 + √102, 2 - √102}

5

What is the dependent variable in the equation: 

18y + 3(y + 5) - 2y = g

g is the dependent variable

5

-16 = x+2

x= -18

5

(x/3)=-3

x= -9

5

-21 = 7(5k - 8)

k = 1

5

x2 - 10x + 26 = 8

{5 + √7, 5 - √7}