Math ACT prep 2

Abandoned mines frequently fill with water. Before an abandoned mine can be reopened, the water must be pumped out. The size of pump required depends on the depth of the mine. If pumping out a mine that is D feet deep requires a pump that pumps a minimum of  + 4D – 250 gallons per minute, pumping out a mine that is 150 feet deep would require a pump that pumps a minimum of how many gallons per minute?

• 362

• 500

• 800

• 1,250

• 1,750

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?

• l = (1/2)w + 3

• l = w + 3

• l = w – 3

• l = 2w + 3

• l = 2w – 3

In quadrilateral PQRS below, sides PS and QR are parallel for what value of x ?

• 158

• 132

• 120

• 110

• 70

How many irrational numbers are there between 1 and 6 ?

• 1

• 3

• 4

• 10

• infinitely many

A 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?

• 14

• 44

• 48

• 54

• 66

In the standard (x,y) coordinate plane below, 3 of the vertices of a rectangle are shown. Which of the following is the 4th vertex of the rectangle?

• (3,-7)

• (4,-8)

• (5,-1)

• (8,-3)

• (9,-3)