Answer These 15 ACT Math Problems to Score a 30+ on ACT Math

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In this video, we review some challenging ACT math problems and teach the associated skills in the process. These problems should give you a good baseline idea of how difficult problems at the end of the test can be.
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ACT Incorporated™ is not affiliated with this site or its owners and does not endorse it. Check out this link for official content from ACT®: www.act.org. All problems in this video are written, owned, and copyrighted by 5 Academy LLC (© 5 Academy) and not owned by, written by, or associated with ACT®, a federally registered trademark of ACT.

[@5Academy]

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[@timber5023]

Great video. Thanks for the help.

[@Buckeye_2014]

Thanks you sir

[@kaushalmeda272]

at 41:56, you just use the vertex formula to get the value of m faster because the only possible way to have 1 X-intercept is at the vertex. The formula -b/2(a) = the x value of the vertex, therefore when you use that you can easily get m = -8

[@5Academy]

great approach!

[@idexxyy2511]

the first question asks which answer will have no solution, so shouldn't it be B? because if it equals one then it intersects at every point

[@alenawang3129]

if z equals 1, then the system would have infinite solutions, not no solutions.

[@5Academy]

^that's correct! 👍

[@reethamgubba2048]

I'm confused.For the first question, why can't the answer be D?

[@h.op.e7209]

Since they're testing our ability to picture the lines and understanding that as long as different y-int are used (as long as z doesn't equal 1) the lines will always be parallel. D isn't a good option because it only represents *one* option for no interception, whereas A gives the "all encompassing" value; any number, as long as it's not 1 will be correct so in this case it's the best answer.

[@Noli6663]

D works since it's not a 1, but since ANY number that isn't 1 would work it isn't the most accurate choice. Many of the ACT problems have answer choices that are true but aren't the best option, so make sure you check for that when you take the test.