An integer, x, is subtracted from 6. That difference is then multiplied by 3. This product is 15 more than half the original integer. Which of the following equations represents this relationship?
(F) 3(6 - x) = + 15
(G) 3(6 - x) + 15 =
(H) 3(6 - x) = 15 -
(J) x - 6 × 3 =
(K) 6 + 3 = + 15
All of the following statements about rational and/or irrational numbers must be true EXCEPT:
(F) the sum of any two rational numbers is rational. (G) the product of any two rational numbers is rational. (H) the sum of any two irrational numbers is irrational. (J) the product of a rational and an irrational number may be rational or irrational. (K) the product of any two irrational numbers is irrational.
Correct Answer: K
For values of x where csc x, sec x, and tan x are all defined, (csc x) o (sec x) o (tan x) = ?
(A)sec2x (B) csc2x (C) tan2x (D) 1 (E) -1
Correct Answer: A
trapezoid is found by multiplying the height byIf a square has an area of 64 square units, what is the area of the largest circle that can be inscribed inside the square?
F. 4π (G) 8π (H) 16π (J) 64 (K) 64π
Correct Answer: H
More ACT Math Exam Questions
- 1
As shown below, the diagonals of rectangle EFGH intersect at the point (-2,-4) in the standard (x,y) coordinate plane. Point F is at (-7,-2). Which of the following are the coordinates of H?
- 2
While working on a problem on his calculator, Tex had meant to multiply a number by 3, but he accidentally divided the number by 3. Which of the following calculations could Tex then do to the result on the screen in order to obtain the result he originally wanted?
- 3
In the triangle below, the lengths of the two given sides are measured in centimeters. What is the value, in centimeters, of x?
- 4The expression (5x + 2)(x-- 3) is equivalent to:
- 5
At Fatima's Fruits, a bag of eight grapefruits costs $4.40. At Ernie's Edibles, a bag of three grapefruits costs $1.86. How much cheaper, per grapefruit, is the cost at Fatima's Fruits than at Ernie's Edibles?