ACT Math Prep

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

Tags

CCSS.5.NBT.B.7

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

Tags

CCSS.6.EE.A.2C

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

• -7

• -1/5

• 1

• 1/5

• 7

Tags

CCSS.7.EE.B.3

CCSS.7.EE.A.1

CCSS.7.EE.B.4

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

• 2

• 6

• 14

• 21

• 42

Tags

CCSS.6.NS.B.4

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

Tags

CCSS.7.EE.B.4A

In the figure, ray EF was constructed starting from rays ED and EG. By using a compass D and G were marked equidistant from E on rays ED and EG. The compass was then used to locate a point F, distinct from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of ∠DEF and ∠GEF:

• are equal.

• are NOT equal

• sum to 30°.

• sum to 45°.

Tags

CCSS.HSG.CO.C.9

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 = 2w + 3

• l = 2w - 3

• l = w - 3

Tags

CCSS.6.EE.C.9

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

Tags

CCSS.6.RP.A.3C

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

• 4

• 6

• 18

• 24

Tags

CCSS.HSA.REI.C.7

Which of the following is the sine of angle A in the right triangle below?

• 5\13

• 5\12

• 12\13

• 12\5

Tags

CCSS.HSG.SRT.C.6