Mathematics Knowledge Answer
Algebra is a critical part of the Mathematics Knowledge section of the ASVAB. As an ASVAB tutor, I make sure to review various topics in algebra with the students in my ASVAB prep course. Some of the topics I review in algebra include exponents, factoring, FOIL (distribution in algebra), basic operations with polynomials, solving for x, algebra with fractions, etc.
Yesterday I presented a Mathematics Knowledge question.
The question is an algebra question that is the topic of algebra with fractions.
The question is:
If 5/6x = 30, what does x equal?
A. 20
B. 25
C. 36
D. 42
To solve this problem, you need to get the x on one side of the equal sign and the numbers on the other side of the equal sign. There is a fraction in front of the variable. To get rid of a fraction in front of the variable, multiply by the reciprocal on both sides of the equation.
The reciprocal of 5/6 is 6/5.
6/5 times 5/6 cancels itself out just leaving x.
Then multiply 30 by 6/5
30/1 x 6/5 =
Reduce 30 and 5 to become 6 and 1.
6/1 x 6/1 = 36/1
The answer is 36.
The correct choice is C. 36.