8.1 Ratios and Proportions/8.2 Problem Solving with Proportions Flashcards
0
Q
proportion
EX:
do the units have to be the same?
A
an EQUATION that equates two ratios
EX: w/z=y/x
NO UNITS DON’T ALL HAVE TO BE THE SAME
1
Q
ratio
does order matter?
A
if a and b are two quantities that are measured in the SAME units then the ratio of a to b is a/b or a:b
YES ORDER MATTERS
2
Q
Cross Product Proptery
EX:
A
the product of the extremes equals the product of the means
EX: if a/b=c/d then ad=cb
3
Q
means and extremes
W:Z=Y:X
A
W&X are extremes
Z&Y are means
4
Q
Reciprocal Property
EX:
A
if two ratios are equal, then their reciprocal are equal
EX: if a/b=c/d, then b/a=d/c
5
Q
Interchange Means Property
A
if a/b=c/d, then a/c=b/d
6
Q
Plus One Property
A
a/b=c/d IF AND ONLY IF a+b/b=c+d/d
