AMC12 ?s (logic/thinking ?s): WARNING: lots of ?s in this post!

I'm prepping for the AMC12 that's on Tuesday (I know it's kinda late, but my teacher didn't tell me he selected me, along with other students, until Friday) and I have no clue how to solve ?s 16-21 and 23-25 in this link: https://www.artofproblemsolving.com/Wiki/index.php/2008_AMC_12A_Problems

The test at a Precal/Trig level (no Calculus involved), but I often see solutions contain advanced stuff, like Vieta's formula. Can someone help me with some/all of the ?s ? Thanks in advance! PS: no calculator :(

Question

AMC12 ?s (logic/thinking ?s): WARNING: lots of ?s in this post!

I'm prepping for the AMC12 that's on Tuesday (I know it's kinda late, but my teacher didn't tell me he selected me, along with other students, until Friday) and I have no clue how to solve ?s 16-21 and 23-25 in this link: https://www.artofproblemsolving.com/Wiki/index.php/2008_AMC_12A_Problems

The test at a Precal/Trig level (no Calculus involved), but I often see solutions contain advanced stuff, like Vieta's formula. Can someone help me with some/all of the ?s ? Thanks in advance! PS: no calculator :(

turingtest · Answer

you should probably type out each question separately, you'll get more attentive answers

anonymous · Answer

Good idea...