Free Printable ACT REVIEW 2A

1.

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

a)

18, 19

b)

19, 20

c)

20, 21

d)

26, 27

e)

39, 40

2.

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

a)

1 < x < 2

b)

2 < x < 3

c)

3 < x < 4

d)

4 < x < 5

e)

5 < x

3.

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?

a)

80

b)

160

c)

400

d)

512

e)

1,280

4.

a)

A, B, C, D

b)

A, B, D, C

c)

A, C, B, D

d)

A, C, D, B

e)

A, D, C, B

5.

a)

75

b)

60

c)

48

d)

27

e)

18

6.

a)

4TH

b)

5TH

c)

6TH

d)

10TH

e)

24TH

7.

$-3\left|-6+8\right|\ =\$

a)

-42

b)

-6

c)

-1

d)

6

e)

42

8.

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?

a)

10

b)

12

c)

15

d)

16

e)

17

9.

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

a)

x < -23

b)

x < 7

c)

x < 17

d)

x < 37

e)

x < 47

10.

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?

a)

(-4, 0)

b)

(0, 1)

c)

(1, -1)

d)

(4, 1)

e)

(5, 0)

11.

For Triangle FGH, shown above, which of the following is an expression for y in terms of x?

a)

x + 4

b)

$\sqrt{x^2+4}$

c)

$\sqrt{x^2+8}$

d)

$\sqrt{x^2-16}$

e)

$\sqrt{x^2+16}$

12.

a)

13

b)

18

c)

28

d)

32

e)

40

13.

What are the quadrants of the standard (x, y) coordinate plane below that contain points on the graph of the equation 4x - 2y = 8

a)

I and III only

b)

I, II, and III only

c)

I, II, and IV only

d)

I, III, and IV only

e)

II, III, and IV only

14.

The graph of y = -5x² + 9 passes through (12, a) in the standard (x, y) coordinate plane. What is the value of a?

a)

2

b)

4

c)

7

d)

-1

e)

-8

15.

a)

2: 3: 6

b)

2: 6: 3

c)

3: 1: 2

d)

3: 2: 1

e)

6: 3: 2

16.

The figure above consists of a square and 2 semicircles, with dimensions shown. What is the outside perimeter in centimeters of the figure?

a)

8 + 8π

b)

16 + 8π

c)

16 + 16π

d)

32 + 8π

e)

32 + 16π

17.

The coordinates of the endpoints of CD, in the standard (x, y) coordinate plane are (-4, -2) and (14, 2). What is the x-coordinate of the midpoint of CD?

a)

0

b)

2

c)

5

d)

9

e)

10

ACT REVIEW 2A

Total questions: 17

Worksheet time: 30mins

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