ACT Test

A consultant charges $45 for each hour she works on a consultation, plus a flat $30 consulting fee.  How many hours of work are included in a $210 bill for consultation?

• 2  4/5
• 4
• 4  2/3
• 7

The following consecutive integers add up to 447.  What is the value of x?
x - 2
x - 1
x
x + 1
x + 2
x + 3

• 72
• 73
• 74
• 75

Point M, with coordinates (5,4) is the midpoint of line segment AB, and B has coordinates (7,3).  What are the coordinates of A?

• (17,11)
• (9,2)
• (6,3.5)
• (3,5)

Janelle cut a board 30 feet long into two pieces.  The ratio of the lengths of the two pieces is 2:3.  What is the length, to the nearest foot, of the shorter piece?

• 5
• 6
• 12
• 18

What values are the solutions for x² + 2x = 8?

• -4 and 2
• -2 and 0
• -2 and 4
• 6 and 8

The fixed costs of manufacturing basketballs in a factory are $1400 per day.  The variable costs are $5.25 per basketball.  Which of the following expressions can be used to model the cost of manufacturing basketballs in one day?

• $1405.25b
• 1400 + 5.25b
• 1400b +5.25
• 1400 - 5.25b

A hot-air balloon 70 meters above ground is falling at a constant rate of 6 meters per second while another that is 10 meters above ground is rising at a constant rate of 15 meters per second.  After how many seconds will the two balloons be at the same height above ground?

• 8.9
• 2.9
• 6.7
• 0.4

Cube A has an edge length of 2 inches.  Cube B has an edge length double that of Cube A.  What is the volume, in cubic inches, of Cube B?

• 8
• 16
• 32
• 64

Given f(x) = 4x + 1  and  g(x) = x² - 2, which of the following is an expression for f(g(x))?

• 4x² - 7
• 4x² - 1
• x² + 4x - 1 
• 16x² + 8x - 1

(3x³)³  is equivalent to:

• 27x⁶
• 9x⁹
• 3x⁶
• 27x⁹