Free Printable ACT Practice

1.

What is the value of the expression (y-x)³ when x =5 and y = 1?

a)

-64

b)

64

c)

-4

d)

16

2.

In a certain school district, exactly 30% of the students come from families that have only one child. If there are 7,340 students in the district, how many do not come from families with only one child?

a)

514

b)

2,202

c)

5,138

d)

7,120

3.

What is the slope intercept form of the equation: 3y + 2x = 24?

a)

y = -⅔x + 8

b)

y = -3/2x + 12

c)

m = 2b + 24

d)

y = 2x + 24

4.

What is the slope of the line perpendicular to the line 3x + 2y = 19?

a)

-3/2

b)

-2/3

c)

2/3

d)

3/2

5.

A lunch menu has 3 types of sandwiches, 4 types of chips, and 5 types of drinks. How many ways can a person order a sandwich, chips and a drink?

a)

12

b)

25

c)

60

d)

120

6.

If 5y + 3x = 4, what is the value of 15y + 9x?

a)

11

b)

12

c)

13

d)

14

7.

The corner convenience store sells candy bars at 4 for $2.91. At this price, how much would the store charge for 3 candy bars?

a)

$0.73

b)

$1.11

c)

$1.99

d)

$2.18

8.

Kelly needs to get a minimum of 75% on today's 60-point math test in order to pass the class. What is the least number of points that she must score to achieve this goal?

a)

15

b)

35

c)

40

d)

45

9.

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

10.

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 $\degree$

11.

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

12.

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)

$-9x^3y^2$

13.

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

14.

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

15.

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

16.

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

17.

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

18.

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

19.

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)

$\frac{1}{5}$

20.

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

21.

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

22.

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?

a)

$675

b)

$408.04

c)

$444.40

d)

$540.04

e)

$118.80

23.

An industrial cleaner is manufactured using only the 3 secret ingredients A, B, and C, which are mixed in the ratio of 2:3:5, respectively, by weight. How many pounds of secret ingredient B are in a 42-pound (net weight) bucket of this cleaner?

a)

4.2

b)

12.6

c)

14

d)

18

e)

21

24.

What is the value of $i^7$ ?

i=\sqrt{-1}

a)

$i$

b)

$-i$

c)

-1

d)

1

e)

0

25.

What is the slope intercept form of the equation: 3y + 2x = 24?

a)

y = -⅔x + 8

b)

y = -3/2x + 12

c)

m = 2b + 24

d)

y = 2x + 24

26.

Given m and n are parallel lines, t is a transversal crossing both m and n, and m∡8 = 100 degrees, what is the measure of ∡3?

a)

50 degrees

b)

80 degrees

c)

100 degrees

d)

120 degrees

27.

In the figure ∡B = 40°, and ∡W = 75°. What is the measure of ∡H?

a)

35 degrees

b)

65 degrees

c)

70 degrees

d)

75 degrees

28.

After receiving a 25% discount, Sue paid $180 for a lawnmower. What is the original price of the lawnmower before the discount?

a)

$215

b)

$220

c)

$225

d)

$240

e)

$245

29.

A company has 40 executives and 120 customer service representatives. If these are the only employees, what percentage of the employees are executives?

a)

20%

b)

25%

c)

33%

d)

40%

e)

80%

30.

In the standard (x,y) coordinate plane, what is the slope of a line that is perpendicular to 4x − 6y = 14?

a)

$-4$

b)

$-\frac{3}{2}$

c)

$-\frac{2}{3}$

d)

$\frac{3}{2}$

e)

$4$

31.

What is the value of the sum of angles a and b in the figure above?

a)

120^o

b)

200^o

c)

240^o

d)

260^o

32.

If f(x) = x³ + 1 and g(x) = |x - 5|, what is f(g(1))?

a)

24

b)

65

c)

55

d)

81

33.

In the $xy$ coordinate plane, if one takes the x-coordinate of a point in the first quadrant and a y-coordinate of a point in the third quadrant and multiplies them together, the answer will be:

a)

always negative

b)

always positive

c)

sometimes positive, sometimes negative

d)

always zero

e)

It cannot be determined with the given information

34.

In an 8-inch by 8-inch checkerboard, each square has an edge length of 1 inch. What is the distance from one corner of the board to the other corner that is diagonally opposite of it?

a)

4

b)

8

c)

8\sqrt{2}

d)

$8\sqrt{3}$

e)

16

35.

What type of angles are they?

a)

VERTICAL

b)

ALTERNATE INTERIOR

c)

ALTERNATE EXTERIOR

d)

CORRESPONDING

36.

Which of the following pairs of the angles are supplementary angles?

a)

angle 1 and angle 7

b)

angle 2 and angle 6

c)

angle 3 and angle 7

d)

angle 4 and angle 5

37.

What it the measurement for angle 1?

a)

140^o

b)

180^o

c)

40^o

d)

160^o

38.

Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

a)

$\angle1$ and $\angle6$

b)

$\angle6$ and $\angle5$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

39.

If angle 1 has a measure of 135^o, then m∠2 =

a)

90^o

b)

135^o

c)

45^o

d)

65^o

40.

What is m∠x?

a)

76^o

b)

104^o

c)

90^o

d)

100^o

41.

If a segment has one endpoint at (-4, 5) and its midpoint is at (7, -9), what are the coordinates of its other endpoint?

a)

(18, -23)

b)

(13, 18)

c)

(11, 4)

d)

(1.5, -2)

42.

Becky leaves school to go home. She walks 6 blocks North and then 8 blocks west. How far is Becky from the school?

a)

14 blocks

b)

12 blocks

c)

10 blocks

d)

8.5 blocks

43.

Find the distance between ( 1, 3) and (5, 6)

a)

3

b)

4

c)

5

d)

6

44.

Tell whether the angles are complementary or supplementary. Then find the value of x.

a)

Complementary; x=25

b)

Complementary; x=5

c)

Supplementary; x=25

d)

Supplementary; x=5

45.

Solve for x

a)

20

b)

25

c)

120

d)

180

46.

Solve for x

a)

6

b)

140

c)

20

d)

90

ACT Practice

Total questions: 46

Worksheet time: 1hrs 10mins

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