# ACT Math: Five Solutions (5/15/15)

Hopefully you were able to find some time and a quiet place this weekend to try our Five Problems for Your Weekend (5/15/15). Below you’ll find the fully worked-out solutions to those problems.

15.  B
If a sequence is geometric, you can find the common ratio between the terms by dividing any term by the term that immediate preceeds it. For this sequence, the common ratio is 162/243 =  2/3. Now you can continue the sequence by repeatedly multiplying by 2/3.

Fourth term:  108(2/3) = 72
Fifth term:  72(2/3) = 48
Sixth term:  48(2/3) = 32

# ACT Math: Five Problems for Your Weekend (5/15/15)

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.

15.  What is the sixth term in the geometric sequence 243, 162, 108, …… ?

A.  27
B.  32
C.  48
D.  54
E.  72

# ACT Math: Five Solutions (5/8/15)

Hopefully you were able to find some time and a quiet place this weekend to try our Five Problems for Your Weekend (5/8/15).  Below you’ll find the fully worked-out solutions to those problems.

9.  C
You can simplify the polynomial expression by multiplying using FOIL and combining like terms.

(4x + 9)(4x – 9)
16x² – 36x + 36x – 81
16x² – 81

# ACT Math: Five Problems for Your Weekend (5/8/15)

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.

9.  The expression (4x + 9)(4x – 9) is equivalent to which of the following?

A.  8x² – 81
B.  8x² – 72x – 81
C.  16x² – 81
D.  16x² – 72x – 81
E.  16x² + 72x – 81

# ACT Math: Five Solutions (5/1/15)

Hopefully you were able to find some time and a quiet place this weekend to try our Five Problems for Your Weekend (5/1/15). Below you’ll find the fully worked-out solutions to those problems.

7.  D
Of the 20 people surveyed, 5 said their favorite color was purple. You can write this as a fraction: 5/20. Equivalently 5/20 = .25 = 25%.