Stacie has a bag of solid colored jellybeans. Each jellybean is orange, purple, or pink. If she randomly selects a jellybean from the bag, the probability that the jellybean is orange is , and the probability that it is purple is . If there are 72 jellybeans in the bag, how many pink jellybeans are in the bag?
(A)16
(B) 24
(C) 32
(D) 40
(E) 48
When adding fractions, a useful first step is to find the least common denominator (LCD) of the fractions. What is the LCD for these fractions?
(F) 3 · 5 · 7 · 11 (G) 32 · 52 · 7 · 11 (H) 32 · 52 · · 113 (J) 32 · 52 · 7 · 113 (K) 33 · 53 · 7 · 114
Correct Answer: J
In the figure below, where ABC ~ XYZ, lengths are given in inches and the perimeter of ABC is 576 inches. What is the length, in inches, of ?
(Note: The symbol ~ means "is similar to.")
(A) (B) 144 (C) (D) 192 (E) 240
Correct Answer: D
Which of the following could be the equation of a line that passes through the points (-2,-7) and (2,17) in the standard (x,y) coordinate plane?
(F) 3x - 2y = 8 (G) 6x - y = -5 (H) 5x - 2y = 7 (J) 9x - 2y = -16 (K) x + y = 6
Correct Answer: G
More ACT Math Exam Questions
- 1In the standard (x,y) coordinate plane, what is the slope of the line parallel to the line y = x - 3?
- 2
In the following figure, line M and line N are parallel. Which of the answer choices does NOT necessarily add up to 180°?
- 3
The kinetic energy, KE, of an object travelling at v velocity can be modeled by the equation KE = mv2, where m is the mass of the object. If an object is moving at a velocity of 9, and it has a kinetic energy of 120, about how great is the object's mass?
- 4A typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of a track team plans to lower the sugar he or she consumes by at least 20% for the coming year. Assuming each track member had consumed sugar at the level of a typical high school student and will adhere to this plan for the coming year, what is the maximum number of pounds of sugar to be consumed by each track team member in the coming year?
- 5
In the following figure, the area of the large square is 81. What is the area of the shaded square?