Which of the following is the solution set for x such that 3x - 9 ≥ - 3(9 - x)?
(A)The empty set
(B) The set containing only zero
(C) The set of negative numbers
(D) The set of positive numbers
(E) The set of real numbers
A line in a plane separates the plane into how many sets of points that do not contain the line?
(A)0 (B) 1 (C) 2 (D) 3 (E) Cannot be determined
Correct Answer: C
In the figure shown below, points A, B, C, and D are collinear, and distances marked are in feet. Rectangle ADEG has an area of 48 square feet. What is the area, in square feet, of the trapezoid BCEF?
(A)16 (B) 20 (C) 26 (D) 36 (E) 58
Quadrilateral FGHJ is shown below in the standard (x,y) coordinate plane. For this quadrilateral, = 10, = 6, = , and = 12.
Correct Answer: C
In ABC, the measures of A, B, and C are 2x°, 3x°, and 5x°, respectively. What is the measure of C?
(A)18° (B) 36° (C) 54° (D) 90° (E) 180°
Correct Answer: D
More ACT Math Exam Questions
- 13x3·2x2y·4x2y is equivalent to:
- 2
The solution set of 5x + 9 ≥ 2(3x + 4) + 7 is shown by which of the following number line graphs?
- 3
Admission to the martial arts tournament is $30, but participants must purchase separate tickets for each event they wish to participate in once inside. Each event is the same price as any other event. The graph below shows the total cost for a person, for admission and events, as a function of the number of events paid for. One of the following is the price of a single event. Which one is it?
0 $30 1 $42 2 $54 3 $66 4 $78 5 $90 - 4A cellular phone company unveiled a new plan for new customers. It will charge a flat rate of $100 for initial connection and service for the first two months, and $60 for service each subsequent month. If Bob subscribes to this plan for one year, how much does he pay in total for the year?
- 5
Eldridge opened a savings account with an initial balance of $1,000. After that, every month for 8 months, she made one deposit to the account, always for the same amount. During that time, she made just one withdrawal.
If each of Eldridge’s 8 deposits was in the amount of $200 and her withdrawal was $350, how much money did her account have at the end of 8 months?