solving a tricky SAT quadratic equation problem

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How do we solve quadratic equation problems? Here we have this AT practice question and we have to FOIL out the binomials (ax+2) times (bx+7) and get a quadratic expression. This is a great but also tricky algebra question on that SAT that many students might miss. This question is from the official SAT practice test 1.

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"Just Algebra" (by blackpenredpen) is dedicated to helping middle school, high school, and community college students who need to learn algebra. Topics include how to solve various equations (linear equations, quadratic equations, square root equations, rational equations, exponential equations, logarithmic equations, and more), factoring techniques, word problems, functions, graphs, Pythagorean Theorem, and more. We will also cover standardized test problems such as the SAT. Free feel to leave your questions in the comment!
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Fun question quite interesting to see differing exam formats

bradjackson
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Stared at this for a bit and came up with 31 and 41. Going to watch rest of video and see if I’m right.

Yep! With how little time that took, I’m a little surprised that I got it correct.

_ayohee
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I don't understand why if f(x) and g(x) are polynomials then if f(x) = ax2 + bx + c and g(x) = dx2 + fx + gx and f(x) = g(x) then a=d, b=f, c=g maybe you can solve for x

nalatsuketnk
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is the SAT that americans sit when they are 18... alevels are so much harder

nayanbhudia
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I tried solving from the thumbnail and got stuck. I basically solved it instantly after clicking the vid and being told a+b=8

tryingtomakeanamebelike