8-1 Ratios and Proportions Learning Target: I will be able to use ratios and proportions to model...
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Transcript of 8-1 Ratios and Proportions Learning Target: I will be able to use ratios and proportions to model...
8-1 Ratios and Proportions
Learning Target: I will be able to use ratios and proportions to model and solve problems.
Goal 1.02
num, num, num...
This is really just cross-multiplying
ad=bca
b
c
d=
__ __
is equivalent to
Examples: x__y =
5__6
If then 6x= 5y
a c
b d
=
a
b
c
d=
__ __
is equivalent to
Examples:
x__y =
5__6
IfYou're really just flipping the ratios
then y__x =
6
5
__
d
ba
c=
a
b
c
d=
__ __
is equivalent to
Examples: x__y =
5__6
IfYou're taking your numerators and making them a ratio, then take your denominators and make them a ratio.
then x__5
=y
6
__
b
b d
da c ____=
+ +a
b
c
d=
__ __
is equivalent to
Examples:
x__y =
5__6
IfAdd the denominator to the top of each ratio
then x+y
y__ = 5+6
6
___
You can do it!
Try these examples.1.
2.
3.
4.
x
512
7=
__
y+3___8
=y_
45_z =
20_
318___n+6
=6_n
1. x=8.572. y=33. z=.754. n=3