ACT Math Quiz

A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?

• $44.44

• $109.08

• $118.80

• $408.04

• $444.40

When x = 3 and y = 5, by how much does the value of 3x² – 2y exceed the value of 2x² – 3y ?

• 4

• 14

• 16

• 20

• 50

What is the value of x when 2x + 3 = 3x – 4 ?

• -7

• -0.2

• 1

• 0.2

• 7

What is the value of x when 5x + 8 = 3x – 4 ?

• -3

• -6

• 6

• 3

• 8

What is the greatest common factor of 42, 126, and 210 ?

• 6

• 14

• 21

• 42

• 210

Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year?

• 16

• 17.5

• 20.5

• 22

• 35

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

D²/25 + 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 = 0.5*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

• 112

• 110

• 70

How many irrational numbers are there between 1 and 6 ?

• 1

• 3

• 4

• 10

• Infinitely many