ACT Math Prep 1

The numbers 1 through 15 were each written on individual pieces of paper, 1 number per piece. Then the 15 pieces of paper were put in a jar. One piece of paper will be drawn from the jar at random. What is the probability of drawing a piece of paper with a number less than 9 written on it?

• 1/9

• 1/15

• 6/15

• 7/15

• 8/15

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

Which of the following expressions is equivalent to -4x^3 - 12x^3 + 9x^2?

• x^8

• -7x^8

• -8x^3 + 9x^2

• -16x^3 + 9x^2

• -16x^7 + 9x^2

Tags

CCSS.7.EE.A.1

CCSS.7.EE.A.2

• 12

• 16

• 26

• 34

• 104

Tags

CCSS.7.EE.A.1

CCSS.7.EE.B.3

CCSS.7.NS.A.2

CCSS.7.NS.A.3

|6 - 4| - |3 - 8| = ?

• -7

• -3

• 3

• 7

• 21

Tags

CCSS.7.EE.B.3

CCSS.7.NS.A.1

CCSS.7.NS.A.3

The expression (4c - 3d)(3c + d) is equivalent to:

• 12c^2 - 13cd - 3d^2

• 12c^2 - 13cd + 3d^2

• 12c^2 - 5cd - 3d^2

• 12c^2 - 5cd + 3d^2

• 12c^2 - 3d^2

Tags

CCSS.7.EE.A.1

Of the 180 students in a college course, 1/4 of the students earned an A for the course, 1/3 of the students earned a B for the course, and the rest of the students earned a C for the course. How many of the students earned a C for the course?

• 75

• 90

• 105

• 120

• 135

Tags

CCSS.7.EE.B.3

CCSS.7.NS.A.1

CCSS.7.NS.A.3

The number of fish, f, in Skipper's Pond at the beginning of each year can be modeled by the equation f(x) = 3(2^x), where x represents the number of years after the beginning of the year 2000. For example, x = 0 represents the beginning of the year 2000, x = 1 represents the beginning of the year 2001, and so forth. According to the model, how many fish were in Skipper's Pond at the beginning of the year 2006?

• 96

• 192

• 384

• 1,458

• 46,656

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.1

• F

• G

• H

• J

• K

Tags

CCSS.7.EE.B.3

CCSS.7.RP.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3

• A

• B

• C

• D

• E

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3

• F

• G

• H

• J

• K

Tags

CCSS.7.EE.B.3

CCSS.7.NS.A.2

CCSS.7.NS.A.3

CCSS.7.RP.A.1

CCSS.7.RP.A.2