Lucy is studying her ant farm. She needs to approximate the number of ants in the population, and she realizes that the number of ants, N, is close to 50 more than double the volume of the ant farm, V. Which of the formulas below expresses that approximation?
(A) N ≈ V + 50
(B) N ≈ (V + 50)
(C) N ≈ 2V + 50
(D) N ≈ 2(V + 50)
(E) N ≈ V2 + 50
The sum, S, of an arithmetic sequence with first term x1 is given by , where n is the number of terms in the sequence. The sum of 5 consecutive terms in a given arithmetic sequence is 145, and x5 is 48. What is the sixth term of this sequence?
(A)49 (B) 57.5 (C) 77 (D) 154.5 (E) 174
Correct Answer: B
If 3x + 2y = 5, what is the value of the expression 6x + 4y - 7?
(A)-2 (B) 3 (C) 8 (D) 10 (E) 19
Correct Answer: B
Lines p, q, r, and s are shown in the figure below and the set of all angles that are supplementary to x is {1,3,8,11}. Which of the following is the set of all lines that must be parallel?
(A){q,r} (B) {q,s} (C) {r,s} (D) {p,q} (E) {q,r,s}
Correct Answer: B
More ACT Math Exam Questions
- 1
In the figure below, M is on and Q is on The measurements are given in feet. Both NPQM and MQRL are trapezoids. The area, A, of a trapezoid is given by A = h(b1 + b2), where h is the height and b1 and b2 are the lengths of the 2 parallel sides.
9.
What is the area of MQRL, in square feet?
- 2
The expression x2 + 2x - 15 can be written as the product of 2 binomials with integer coefficients. One of the binomials is (x + 5). Which of the following is the other binomial?
- 3
In early November in Winnipeg, Manitoba, the temperatures for each of nine consecutive days were -9°C, 3°C, -7°C, 2°C, 5°C, 1°C, 0°C, -8°C, and -7°C. What was the median of the temperatures for these nine days in early November?
- 4A DVD player with a list price of $100 is marked down 30%. If John gets an employee discount of 20% off the sale price, how much does John pay for the DVD player ?
- 5
For what value of x, if any, is the equation (x - 1)2 = (x - 7)2 true?