Your ACT Math score can only get better with practice. Getting the score you want takes time and effort on your part, but hard work is usually rewarded on test day. Here are five problems similar to what you’ll encounter on the ACT. I hope you have a few minutes this weekend to find a quiet place and give them a try.

The numbering of the problems is meant to give you an idea of where in a section a problem might appear.

Answers appear at the end of the post. Full solutions can be found here.

11. If *x* = 3 and *y* = 5, then the value of 2*x*²* + *4*y* = ?

A. 26

B. 28

C. 38

D. 56

E. 62

28. What is the set of all numbers that are solutions to the inequality -½*x* + 8 > 14

F. * x* > -12

G. *x > –*3

H. *x* < -12

J. *x* < -3

K. *x* < 3

35. The graph of the line represented by the equation 6*x* – 8*y* = 24 crosses the *x*-axis at a point (*a*, *b*). What is the value of *a*?

A. -8

B. -4

C. 0

D. 4

E. 6

48. The determinant of a 2 x 2 square matrix is given by *ad* – *bc*. For what value(s) of *x* is the determinant of equal to – 12?

F. 3 only

G. 7 only

H. 12 only

J. {3, 4}

K. {7, 12}

55. If log a = *x* and log b = *y*, what is the value of log a²b³ in terms of x and y?

A. 5*xy*

B. 6*xy*

C. *x*²*y*³

D. 6(*x* + *y*)

E. 2*x* + 3*y*

If you have questions about these problems or anything else to do with the ACT, leave a comment below or send me an email at info@cardinalec.com.

Solutions:

11. C

28. H

35. D

48. J

55. E

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