ACT Prep

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

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

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

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

In the figure, all angles are right angles, and the side lengths given are in centimeters. What is the area, in square centimeters, of the figure?

• 42

• 75

• 93

• 99

• 117

Carlos wants to visit Paris Italy Germany and China.

• Paris and Italy and Germany and China.

• No change

• Paris, Italy, Germany, and China.

• Paris Italy, Germany and China.

The tree is very tall old and green.

• very tall, old and green.

• very, tall, old, and green.

• very tall old, and green.

• No change