ACT Math : Algebra

Study concepts, example questions & explanations for ACT Math

varsity tutors app store varsity tutors android store varsity tutors ibooks store

Example Questions

Example Question #3111 : Act Math

Solve for \displaystyle y:

\displaystyle \frac{4}{y+2}=\frac{6}{10}

Possible Answers:

\displaystyle 3

\displaystyle \frac{16}{3}

\displaystyle \frac{14}{3}

\displaystyle 5

Correct answer:

\displaystyle \frac{14}{3}

Explanation:

Solve this question by cross-multiplying:

\displaystyle 40=6y+12

\displaystyle 6y=28

\displaystyle y=\frac{14}{3}

Example Question #1155 : Algebra

If \displaystyle x=-5, what is the value of \displaystyle \frac{x^{2}+20}{x-4}?

Possible Answers:

\displaystyle 45

\displaystyle 9

\displaystyle 25

\displaystyle -5

Correct answer:

\displaystyle -5

Explanation:

To solve this question, substitute -5 in for x in the numerator and denominator. Remember that the square of a negative number is positive.

45 / -9 = -5

 

Learning Tools by Varsity Tutors