ACT Math Pre-test

What is the sum of the first 4 terms of the arithmetic sequence in which the 6th term is 8 and the 10th term is 13?

• 10.5

• 14.5

• 18

• 21.25

• 39.5

The expression (3x − 4y²)(3x + 4y²) is equivalent to:

• 9x² − 16y⁴

• 9x² − 8y⁴

• 9x² + 16y⁴

• 6x² − 16y⁴

• 6x² − 8y⁴

For what value of a would the following system of equations have an infinite number of solutions?

2x − y = 8 6x − 3y = 4a

• 2

• 6

• 18

• 24

• 32

There is a regular deck of 52 cards. What is the probability that Joy will draw a card that is a red 5 OR a card that is a black 8?

• 4/52 = 1/13

• 5/52

• 8/52 = 2/13

• 13/52 = 1/4

Solve.
8v - 4(v + 8) = 8

• 2
• 10
• 4
• -4 

Simplify using PEMDAS.
6 - (16-4x4) = 

• 17
• 6
• 12
• 34

Which among the following is an equation?

• 5a²
• 2a + 5b
• 7xyz
• 2a + 3b = 5

Find the value of
3(5a - 3)
when a=1

• 6
• -6
• 4
• 5

Which of the following is equivalent to:
y + y + y + y

• 4y
• y⁴
• Y4
•  4 + y

Which represents the word sentence as an inequality?
A number n is at least 17.

• n < 17
• n > 17
• n ≤ 17
• n ≥ 17