OAR EXAM
16 ounces - 1 pound
8 pints - 1 gallon
4 quarts - 1 gallon
2000 lbs - 1 ton
Supplemental angle - adds up to 180 degrees
Complementary angle - adds up to 90 degrees
If 3 times x exceeds 1/3 of y by 9, which of the following is the equation that shows the relationship
between x and y? - 3x-1/3*y=9
Questions about how fast people can do a job together?If the first painter can do the entire job in
twelve hours and the second painter can do it in eight hours, then (this here is the trick!) the first guy
can do 1/12 of the job per hour, and the second guy can do 1/8 per hour. How much then can they do
per hour if they work together? - Take each number of hours and use 1/x amount of hours.
Example: To find out how much they can do together per hour, I add together what they can do
individually per hour: 1/12 + 1/8 = 5/24.They can do 5/24 of the job per hour. Now I'll let "t" stand for
how long they take to do the job together. Then they can do 1/t per hour, so 5/24 = 1/t. Flip the
equation, and you get that t = 24/5 = 4.8 hours.
, 1/12 + 1/8 = 1/t
5/24 = 1/t
24/5 = t
=4.8 hours
One pipe can fill a pool 1.25 times faster than a second pipe. When both pipes are opened, they fill the
pool in five hours. How long would it take to fill the pool if only the slower pipe is used? - hours to
complete job:
fast pipe: f
slow pipe: 1.25f
together: 5
completed per hour:
fast pipe: 1/f
slow pipe: 1/1.25f
together: 1/5
adding their labor:
1/f + 1/1.25f = 1/5
multiplying through by 5f:
16 ounces - 1 pound
8 pints - 1 gallon
4 quarts - 1 gallon
2000 lbs - 1 ton
Supplemental angle - adds up to 180 degrees
Complementary angle - adds up to 90 degrees
If 3 times x exceeds 1/3 of y by 9, which of the following is the equation that shows the relationship
between x and y? - 3x-1/3*y=9
Questions about how fast people can do a job together?If the first painter can do the entire job in
twelve hours and the second painter can do it in eight hours, then (this here is the trick!) the first guy
can do 1/12 of the job per hour, and the second guy can do 1/8 per hour. How much then can they do
per hour if they work together? - Take each number of hours and use 1/x amount of hours.
Example: To find out how much they can do together per hour, I add together what they can do
individually per hour: 1/12 + 1/8 = 5/24.They can do 5/24 of the job per hour. Now I'll let "t" stand for
how long they take to do the job together. Then they can do 1/t per hour, so 5/24 = 1/t. Flip the
equation, and you get that t = 24/5 = 4.8 hours.
, 1/12 + 1/8 = 1/t
5/24 = 1/t
24/5 = t
=4.8 hours
One pipe can fill a pool 1.25 times faster than a second pipe. When both pipes are opened, they fill the
pool in five hours. How long would it take to fill the pool if only the slower pipe is used? - hours to
complete job:
fast pipe: f
slow pipe: 1.25f
together: 5
completed per hour:
fast pipe: 1/f
slow pipe: 1/1.25f
together: 1/5
adding their labor:
1/f + 1/1.25f = 1/5
multiplying through by 5f:
