Home->ACT Math

What is the sum of the two values of x that satisfy the equation 4x² – 3x – 1 = 0?

(A) 0.75

(B) 1.25

(C) 2.5

(D) –0.75

(E) –1.25

A trapezoid has parallel bases that measure 3 inches and 9 inches and a height that measures 6 inches. What is the area, in square inches, of the trapezoid?

(F) 18 (G) 24 (H) 30 (J) 36 (K) 54

Correct Answer: J

(2 - 4t + 5t²) - (3t² + 2t - 7) is equivalent to:

(A) 2t² - 6t + 9 (B) 2t² - 2t + 9 (C) 2t⁴ - 2t² - 5 (D) 8t² - 6t - 5 (E) 8t⁴ - 6t² - 5

Correct Answer: A

Avi is trying to draw a map of his most recent bike ride. He chose to place Market Street on the x-axis and Broad Street on the y-axis. He rode 60 m at an angle of 60° relative to Market Street, then rode 100 m at an angle of 45° relative to Market Street, and finally rode 35 m directly north on Broad Street. How many meters north of Market Street did Avi ride?

(A) 35 (B) 115 (C) 195 (D) 50 + 30 (E) 35 + 50 + 30

Correct Answer: E