Home->ACT Math

In the standard (x, y) coordinate plane, the midpoint of is (5, 7) and a is located at (2, 3). If the coordinates of b are (x, y), what is the value of (x + y)?

(A)19

(B) 17

(C) 11

(D) 8.5

(E) 8

The area of a trapezoid is found by multiplying the height by the average of the bases: A= h(b₁+b₂). Given the side measurements below, what is the area, in square inches, of the trapezoid?

(A) 15 (B) 22 (C) 24 (D) 24 (E) 30

Correct Answer: C

In the following figure, line M and line N are parallel. Which of the answer choices does NOT necessarily add up to 180°?

(F) ∠a+ ∠b+ ∠f(G) ∠a+ ∠d(H) ∠b+ ∠e+ ∠f(J) ∠d+ ∠e(K) ∠e+ ∠g

Correct Answer: K

The day a clothing store puts out a batch of brand-name T-shirts it sells 95 shirts at $4.10 per shirt. However, each day the shirts are on the rack, the store reduces the price of the shirts by $0.02 and consequently sells 1 additional shirt with each price reduction. If x represents the number of $0.02 price reductions, which of the following expressions represents the amount of money, in dollars, that the store will take in daily in sales of these brand name T-shirts?

(A) (4.10 + 2x)(95 + x) (B) (4.10 - 2x)(95 + x) (C) (4.10 + 0.02x)(95 + x) (D) (4.10 - 0.02x)(95 + x) (E) (4.10-- 0.02x)(95 + 0.02x)

Correct Answer: D