Finding Solutions of Equations

4.5.1 Finding Solutions of Equations

4.5.1 • Finding Solutions of Equations

Warm Up

Consider the equation q = 4 + 0.8 p q = 4 + 0.8 p .

1.

What value of q q would make the equation true when p p is 7?

Compare your answer:

q = 4 + 0.8 ( 7 ) q = 4 + 0.8 ( 7 )

q = 4 + 5.6 q = 4 + 5.6

q = 9.6 q = 9.6

2.

What value of q q would make the equation true when p p is 100?

Compare your answer:

q = 4 + 0.8 ( 100 ) q = 4 + 0.8 ( 100 )

q = 4 + 80 q = 4 + 80

q = 84 q = 84

3.

What value of p p would make the equation true when q q is 12?

Compare your answer:

12 = 4 + 0.8 p 12 = 4 + 0.8 p

12 − 4 = 4 + 0.8 p − 4 12 − 4 = 4 + 0.8 p − 4

8 = 0.8 p 8 = 0.8 p

8 / 0.8 = 0.8 p / 0.8 8 / 0.8 = 0.8 p / 0.8

p = 10 p = 10

4.

What value of p p would make the equation true when q q is 60?

Compare your answer:

60 = 4 + 0.8 p 60 = 4 + 0.8 p

60 − 4 = 4 + 0.8 p − 4 60 − 4 = 4 + 0.8 p − 4

56 = 0.8 p 56 = 0.8 p

56 / 0.8 = 0.8 p / 0.8 56 / 0.8 = 0.8 p / 0.8

p = 70 p = 70