ACT REVIEW 2A

For 2 consecutive integers, the result of adding the smaller integer and triple the larger integer is 79. What are the two integers?

• 18, 19

• 19, 20

• 20, 21

• 26, 27

• 39, 40

If  $3^x\ =\ 54$  Which of the following must be true?

• 1 < x < 2

• 2 < x < 3

• 3 < x < 4

• 4 < x < 5

• 5 < x

A group of cells grows in number as described by the equation y = 16 (2)^t, where t represents the number of days and y represents the number of cells. According to this formula, how many cells will be in the group at the end of the first 5 days?

• 80

• 160

• 400

• 512

• 1,280

• A, B, C, D

• A, B, D, C

• A, C, B, D

• A, C, D, B

• A, D, C, B

• 75

• 60

• 48

• 27

• 18

• 4TH

• 5TH

• 6TH

• 10TH

• 24TH

 $-3\left|-6+8\right|\ =\$  

• -42

• -6

• -1

• 6

• 42

In right triangle ACE below, BD is parallel to AE, and BD is perpendicular to EC at D. The length of AC is 20 feet, the length of BD is 3 feet, and the length of CD is 4 feet. What is the length, in feet, of AE?

• 10

• 12

• 15

• 16

• 17

The inequality 6(x + 2) > 7(x - 5) is equivalent to which of the following inequalities?

• x < -23

• x < 7

• x < 17

• x < 37

• x < 47

The sides of a square are 3 cm long. One vertex of the square is at (2, 0) on a square coordinate grid marked in centimeter units. Which of the following points could also be a vertex of the square?

• (-4, 0)

• (0, 1)

• (1, -1)

• (4, 1)

• (5, 0)