ACT Math

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How many irrational numbers are there between 1 and 6?

Infinite

What is x, the 2nd term in the geometric series 1/4+X+1/36+1/108+...

1/12

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

14

A boat departs Port Isabelle, Texas, traveling to an oil rig. The oil rig is located 9 miles east and 12 miles north of the boat's departure point. About how many miles is the oil rig from the departure point?

15

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

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?

54

A car averages 27mpg. 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?

$408.04

A DVD player with a list price of $100 is marked down 30%. If John gets an employee discount of 20% off the sale price, how much does John pay for the DVD player?

$56.00

What is the slope of any line parallel to the line 9x+4y=7?

-9/4

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 D^2/25+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?

1,250

Ding's Diner advertised this daily lunch special: "Choose 1 item from each column- only $4.95!" Thus, each daily lunch special consists of a salad, a soup, a sandwich, and a drink. (4 columns. Salads=3, Soups=2, Sandwiches=5, Drinks=4)

120

If xy=144, x+y=30, and x>y, what is the value of x-y?

18

The lead of a screw is the distance that the screw advances in a straight line when the screw is turned 1 complete turn. If a screw is 2 1/2 inches long and has a lead of 1/8 inch, how many complete turns would get it all the way into a piece of wood?

20

Which of the following is a factor of the polynomial 2x^2-3x-5? x-1 2x-3 2x-5 2x+5 3x+5

2x-5

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

42

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

7

Square root of -(-9)? Note: i = square root of -1

9i

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=2w-3


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