SOLVING
RATIONAL
EQUATIONS
TAYLOR HAS MADE 130 FREE THROWS IN HER
COLLEGE CAREER. SHE HAS SHOT 145 FREE
THROWS. HOW MANY MORE FREE THROWS
MUST SHE MAKE TO HAVE A FREE THROW
PERCENTAGE OF 90%?
Taylor has made 130 free throws in her
college career. She has shot 145 free
throws. How many more free throws must
she make to have a free throw
percentage of 90%?
Let x = the number
of free throws Taylor
130+𝑥
=.9
must make.
145+𝑥
130+𝑥

=.9
145+𝑥
10∙ 130+𝑥

=.9∙
1 145+𝑥
1300+10𝑥

=9
145+𝑥
Multiply both sides by 10
to get ride of the
decimal.
10
1300+10𝑥
=9
145+𝑥
145+𝑥
1
1
145+𝑥
1
Multiply (145+x)on
both sides
∙
1300+10𝑥
145+𝑥
=9∙
145+𝑥
1
∙
1300+10𝑥
145+𝑥
=9∙
145+𝑥 1
1
Subtract 9x from
both sides.
1300 + 10𝑥 =1305+9x
−9𝑥 =
− 9𝑥
Subtract 1300
1300 + 𝑥 = 1305
from both
sides
−1300
= −1300
𝑥 = 5 throws then she will have a
If Taylor makes her next 5 free
90% free throw percentage.
A quarterback has completed
57 out of 103 passes. How
many passes must he
complete in the next game in
order to have a completion
rate of 60%?
WRITE AN EQUATION
FOR THIS STORY
.