Free Printable ACT Practice

1.

A function, f, is defined by f(x,y) = 3x² - 4y. What is the value of f (3,2)?

a)

0

b)

10

c)

19

d)

24

e)

28

2.

In the figure above, $\angle BAC\$ measures 35 $\degree$ , $\angle ABC$ measures 95 $\degree$ , and points B, C, and D are collinear. What is the measure of $\angle ACD?$

a)

95 $\degree$

b)

125 $\degree$

c)

130 $\degree$

d)

140 $\degree$

e)

145 $\degree$

3.

At a certain airline company, the cost to transfer mileage points from one person's account to another person's account is $0.75 for every 100 mileage points transferred plus a onetime $20 processing fee. What is the cost to transfer 7,000 mileage points from one account to another at that airline company?

a)

$25.25

b)

$67.50

c)

$72.50

d)

$75.00

e)

$95.00

4.

For all nonzero values of x and y, which of the following expressions is equivalent to $\frac{-36\ x^4y^3}{4xy}$ ?

a)

$-40x^3y^2$

b)

$-32x^3y^2$

c)

$-9x^5y^4$

d)

$-9x^4y^3$

e)

$-9x^3y^2$

5.

For x = -5, what is the value of 4x² - 11x?

a)

-155

b)

-84

c)

-45

d)

84

e)

155

6.

Taho earns his regular pay of $11 per hour for up to 40 hours of work per week. For each hour over 40 hours of work per week, Taho earns 1 $\frac{1}{2}$ times his regular pay. How much does Taho earn in a week in which he works 50 hours?

a)

$550

b)

$605

c)

$625

d)

$750

e)

$825

7.

In the figure, all angles are right angles, and the side lengths given are in centimeters. What is the area, in square centimeters, of the figure?

a)

42

b)

75

c)

93

d)

99

e)

117

8.

The point (3,27) is labeled on the graph of f(x) = x³in the standard (x,y) coordinate plane. The graph of f(x) will be translated 3 coordinate units to the left. Which of the following points will be on the image of the graph after the translation?

a)

(0,27)

b)

(3,24)

c)

(3,27)

d)

(3,30)

e)

(6,27)

9.

In the standard (x,y) coordinate plane, what is the midpoint of the line segment that has endpoints (-6,9) and (2,5)?

a)

(-4,-4)

b)

(-2,7)

c)

( $\frac{3}{2},\ \frac{7}{2}$ )

d)

(4,-2)

e)

(8, -4)

10.

In the figure, E is on $\overline{CA,}$ and the measures of $\angle BED$ and $\angle\ AEB$ are 90 $\degree$ and 145 $\degree$ , respectively. If it can be determined, what is the measure of $\angle\ CED$ ?

a)

35 $\degree$

b)

45 $\degree$

c)

55 $\degree$

d)

80 $\degree$

e)

Cannot be determined from the given information

11.

A formula for the volume, V, of a right circular cylinder is V = πr²h, where r is the radius and h is the height. The cylindrical tank shown has a radius of 5 meters and a height of 3 meters and is filled with water.

Given that the weight of 1 cubic meter of water is approximately 2,205 pounds, the weight, in pounds, of the water in the tank is:

a)

less than 200,000

b)

between 200,000 and 300,000

c)

between 300,000 and 500,000

d)

between 500,000 and 1,000,000

e)

more than 1,000,000

12.

Graphed in the standard (x,y) coordinate plane below is a right triangle with vertices (0,0), (-40,0), and (0,30). What is the length, in coordinate unites, of the hypotenuse of the triangle?

a)

30

b)

35

c)

40

d)

50

e)

70

13.

One side of square ABCD has a length of 15 meters. A certain rectangle whose area is equal to the area of ABCD has a width of 10 meters. What is the length, in meters, of the rectangle?

a)

15

b)

20

c)

22.5

d)

25

e)

37.5

14.

The board shown measures 9 feet and 4 inches long. The board is cut into 2 equal parts. What is the length, to the nearest inch, of each part?

a)

4 feet 5 inches

b)

4 feet 7 inches

c)

4 feet 8 inches

d)

5 feet 4 inches

e)

5 feet 5 inches

15.

The total cost of renting a car is $35.00 for each day the car is rented plus 42.5¢ for each mile the car is driven. What is the total cost of renting the car for 6 days and driving 350 miles? (Note: No sales tax is involved.)

a)

$154.75

b)

$224.88

c)

$358.75

d)

$420.00

e)

$1,697.50

16.

In the standard (x,y) coordinate plane, what is the slope of the line through (-6,4) and (1,3)?

a)

$-\frac{7}{5}$

b)

$-\frac{1}{5}$

c)

$-\frac{1}{7}$

d)

$\frac{1}{7}$

e)

$\frac{1}{5}$

17.

Which of the following inequalities describes the solution set for 3x - 5 < 2x + 1 ?

a)

x < - 4

b)

x > $-\frac{4}{5}$

c)

x < $\frac{6}{5}$

d)

x < 6

e)

x > 6

18.

Which of the following expressions is equivalent to 4(x + 2) + 3(2x - 1) ?

a)

3x + 8

b)

5(2x + 1)

c)

10(x + 1)

d)

10x + 11

e)

15x

19.

What value of x satisfies the equation $\frac{x^2\ +\ 2x}{x\ +\ 2}\ =\ 2$ ?

a)

- 4

b)

- 3

c)

- 2

d)

1

e)

2

20.

A rectangular stage is 90 feet long and 30 feet wide. What is the area, in square yards, of this stage?

a)

$30\sqrt{3}$

b)

300

c)

675

d)

900

e)

2,700

ACT Practice

Total questions: 20

Worksheet time: 40mins

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