The length, in inches, of a box is 3 inches less than twice its width, in inches. Which of the following gives the length, l inches, in terms of the width, w inches, of the box?
(A)l = w + 3
(B)w + 3
(C)w – 3
(D)2w + 3
(E)2w – 3
Which of the following ranges of consecutive integers contains the value of the expression ?
(A) 0 and 1 (B) 1 and 2 (C) 2 and 3 (D) 5 and 6 (E) 7 and 8
Correct Answer: C
In isosceles triangle ABC below, the measures of BAC and BCA are equal and . The diagonals of trapezoid DECA intersect at F. The lengths of and are 6 centimeters, the length of is 9 centimeters, and the length of is 27 centimeters. What is the length, in centimeters, of ?
(A) 12 (B) 15 (C) 18 (D) 33 (E) 36
Correct Answer: C
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
Correct Answer: F
More ACT Math Exam Questions
- 1
A thin slice is cut from a bagel, creating the cross-section represented below. The diameter of the bagel is 144 mm and the width from the inner edge of the bagel to the outer edge is uniformly 56 mm. Which of the following is closest to the area, in square millimeters, of the shaded empty space inside the cross-section of the bagel?
- 2Evan purchased 6 boxes of sugar cookies, each box containing 10 snack bags and each bag containing 12 cookies. Evan could have purchased the same amount of cookies by buying how many family-sized packs of 30 cookies each?
- 3June 2020 ACT test date
- 4
A recent survey of book critics asked 30 critics how many stars out of a possible 5 they gave to a recent novel from a popular author. The 30 critics' responses are summarized by the histogram below.
What fraction of the critics gave the book a one-star review?
- 5
Circle A has its center at point (-5,2) with a radius of 2, and circle B is represented by the equation (x + 4)2 + (y-- 2)2 = 9. Where is point (-2,2) located?