ACT 2008 form 61B, questions 15-40

• 34 + 7

• 34 - 7

• 34 × 7

• 34

In the figure below, AC || DF, ΔEBF is isosceles with EB = FB, and ∠CBF measures 35°. What is the measure of ∠DEB?

• 107½

• 110°

• 125°

• 135°

• 145°

A sequence of 5 numbers has 6 as its first term and 32 as its last term. The first 3 numbers are an arithmetic sequence. The last 3 numbers are a geometric sequence with a common ratio of 2. What is the common difference among the first 3 terms?

• 0

• 1

• 61

• 67

• 72

Water in Lake Forman is frozen at Celsius temperatures at or below 0°. Which of the following expressions represents all the Celsius temperatures, T, at which water is frozen in Lake Forman?

• T = 0

• T > 0

• T ≥ 0

• T < 0

• T ≤ 0

Sarah swims in a rectangular-shaped swimming pool 18 feet wide and 24 feet long. About how many feet long is a diagonal of the surface of the water in the pool?

• 27

• 30

• 42

• 44

• 90

• A. a

• B. b

• C. c

• D. d

• E. Cannot be determined from the given information.

What value of x makes the equation 7x - 3(2x - 4) = 10 true?

• F. -12

• G. -2

• H. 13

• J. 22

• K. 22

Which of the following (x, y) pairs is the solution for the system of equations x + 2y = 5 and -2x + y = 10?

• (-3, 4)

• (-1, 3)

• (1, 2)

• (5, 0)

• (35/3, 10/3)

For nonzero numbers x and y, which of the following expressions is NOT equivalent to -x/y?