Praxis 5165 Math Practice Question - MUST KNOW!

The Praxis Math 5165 exam requires you to have a strong background in middle and high school level math. As a math teacher, you will need to pass the Praxis Math 5165 exam to be certified to teach high school math. Remember, as a high school teacher you need to review and have complete mastery of all the topics taught in high school level math so you need to really go back and do serious review to be a great high school math teacher. If you need math help in passing the Praxis 5165 Math Exam check out my Praxis 5165 Math prep course:
Praxis Math 5165 Test Prep Course:
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[@paulw987]

Rather than sometimes interpreting sqrt(25) as 5 and sometimes as +/- 5 (9:00 - 9:40 in video), you could always interpret it (correctly) as 5. For this to work (relative to a problem like x^2 = 25), you would note that sqrt(x^2) = abs(x) [absolute value]. So from x^2 = 25, taking the (principal--i.e., nonnegative) square root of both sides, you get abs(x) = 5. Values of x = 5 and x = -5 satisfy this equation, as one would hope.

[@gavindeane3670]

Exactly. The other way of expressing it is: x² = 25 therefore x = ±√25 = ±5

[@bravewave2084]

Mmm. That was fun. I want some more. Vaguely familiar...

[@Hewhowalks-fv5mq]

Thanks I could get to the end but was unable to remember the principle square root because I knew the result had to be negitive

[@josephlaura7387]

a) 23/2

[@krunoslavregvar477]

d) null (no solutions)

[@erembald2927]

I'll stick my head out m= 23/2, rearranging; 3 - 8 = (2m+2)^0.5, therefore; -5 = (2m+2)^0.5, squaring both sides; 25 = 2m+2, resolving for m = 23/2

[@erembald2927]

damn forget to check it 🙂

[@herbertklumpp2969]

Sqrt >=0 conclude. 3- sqrt

[@DominicMazoch]

Praxis is also a Klingon moon!

[@thelazyvegan2257]

Wouldn't you know the answer is null when you have a square root = to a negative number?

[@gavindeane3670]

Yes. There's no need to go any further than that. As soon as you have √(something) = (a negative number) then you know you have an impossible equation.

[@RustyWalker]

D. Null

[@alessioandreoli2145]

No solution. -sqrt(2m+2)=5

[@benquinneyiii7941]

If it had been positive

[@Hi-rw8vr]

Null. Add 3, you get: √ 2m+2 =8+3=11 Square it 2m+2=121 Subtract 2 2m=121-2=119 Half it m=119/2=59.5 As none of the options work for this, the answer is d) null.

[@luisostasuc8135]

You wouldn't add 3 to each side, since it's positive, right?

[@Hi-rw8vr]

@@luisostasuc8135 shoot, you’re right. Fixed version: Add √ 2m+2 3=8+√ 2m+2 Subtract 8 -5= √2m+2 Square it 25=2m+2 Subtract 2 23=2m Half it 23/2=m Therefore the answer is 23/2 However, -5 cannot be the square root of a number. Though (-5)² is 25, the square root is the absolute value and cannot be a negative number. This means the answer is still null.

[@russelllomando8460]

got it null no other option proved correct or satisfied the equation thanks for the fun

[@tevman69]

chatGPT got m=23/2, too. So much for AI, again.

[@gavindeane3670]

Write out 100 times: A large language model AI is not a calculator!!!

[@tevman69]

@@gavindeane3670 👍👍👍👍👍

[@luisostasuc8135]

My first quick calculation got 23/2, but then I remembered that negative, and it isn't in the answer that way. It will be interesting to see where i went wrong on this

[@zackeeu]

I am studying for 5165, and I really wanted to like this video and this channel. But there is WAY too much pointless talking here. The math instruction is great, but it's just too inefficeint to deal with. This literally could/should have been a 3-minute vid.

[@chrisdissanayake6979]

23/2

[@Katwinser1958]

Null