Free Printable ACT Math Practice

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?

a)

$\frac{1}{9}$

b)

$\frac{1}{15}$

c)

$\frac{6}{15}$

d)

$\frac{7}{15}$

e)

$\frac{8}{15}$

2.

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

a)

$x^8$

b)

$-7x^8$

c)

$-8x^3+9x^2$

d)

$-16x^3+9x^2$

e)

$-16x^6+9x^2$

3.

When $x=2,\ \ 10+3\left(12\div\left(3x\right)\right)$

a)

$12$

b)

$16$

c)

$26$

d)

$34$

e)

$104$

4.

$\left|6-4\right|-\left|3-8\right|=$

a)

$-7$

b)

$-3$

c)

$3$

d)

$7$

e)

$21$

5.

The expression $\left(4c-3d\right)\left(3c+d\right)$ is equivalent to:

a)

$12c^2-13cd-3d^2$

b)

$12c^2-13cd+3d^2$

c)

$12c^2-5cd-3d^2$

d)

$12c^2-5cd+3d^2$

e)

$12c^2-3d^2$

6.

Of the 180 students in a college course, $\frac{1}{4}$ of the students earned an A for the course, $\frac{1}{3}$ 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?

a)

$75$

b)

$90$

c)

$105$

d)

$120$

e)

$135$

7.

The number of fish $f$ , in Skipper’s Pond at the beginning of each year can be modeled by the equation $f\left(x\right)=3\left(2^x\right)$ , 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 ?

a)

$96$

b)

$192$

c)

$384$

d)

$1,458$

e)

$46,656$

8.

What is the slope of line HM?

a)

$-\frac{3}{2}$

b)

-1

c)

$-\frac{2}{3}$

d)

$\frac{2}{3}$

e)

$\frac{3}{2}$

9.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

10.

Find the slope of the line that passes through:
(-3, -4) and (7, 6)

a)

0

b)

Undefined

c)

-1

d)

1

11.

Determine the slope from the table.

a)

-2

b)

2

c)

-1/2

d)

1/2

12.

What is the algebraic equation for the following table?

a)

y = x + 3

b)

y = 3x

c)

y = x ÷ 3

d)

y = x - 3

13.

What is the equation for the table?

a)

y =1/4x -3

b)

y =4x - 3

c)

y = -3x -3

d)

y =-2x -3

14.

Write the slope intercept form of the equation 9x - 7y = -7

a)

y = -9/7x + 1

b)

y = 9/7x + 1

c)

y = -9/7x - 7/9

d)

y = 9/7x + 7/9

15.

If a question asks you to find f(2), what does that mean?

a)

Let x = 2

b)

Let y = 2

16.

If f(x) = 2x + 1, find f(1).

a)

f(1) = 1

b)

f(1) = 4

c)

f(1) = 0

d)

f(1) = 3

17.

A company is selling bubble gum. The function g(x)=3x+4 tells the company how much to charge if someone buys x packages of bubble gum. Find g(8) and tell what it means within the context of the problem.

a)

g(8)=8. This means that after 8 packages of gum, the company makes $8.

b)

g(8)=42. This means that 8 packages of gum costs $42.

c)

g(8)=28. This means that 8 packages of gum costs $28.

d)

g(8)=24. This means that 8 packages of gum costs $24.

18.

Simplify: (5p⁹q³)(2pq⁷)

a)

7p¹⁰q¹⁰

b)

10p⁹q²¹

c)

10p¹⁰q¹⁰

d)

10p⁸q^-4

19.

a)

$\frac{27x^{15}z^3}{y^6}$

b)

$\frac{9x^{15}z^3}{y^6}$

c)

$27x^8yz^4$

d)

$\frac{27x^8z^4}{y}$

20.

Simplify so there are no negative exponents in the answer.

$\frac{3x^3\cdot4x^4}{x^2}$

a)

$12x^5$

b)

$12x^9$

c)

$7x^5$

d)

$7x^4$

21.

Simplify so there are no negative exponents in the answer.

$\left(3n^3\right)^{-3}$

a)

$\frac{1}{27n^9}$

b)

$\frac{-27}{n^9}$

c)

$\frac{-27}{n^6}$

d)

$\frac{-9}{n^6}$

22.

a)

15

b)

25

c)

35

d)

65

e)

80

23.

a)

(-1, 5)

b)

(1, 4)

c)

(2, 5)

d)

(4, 1)

e)

Cannot be determined

24.

a)

$420

b)

$1,120

c)

$1,260

d)

$1,680

e)

$2,240

25.

If the area of rectangle ABCD is 1 square unit, which of the following expressions represents the area of the shaded region?

a)

$\frac{1}{8}\cdot\frac{1}{6}$

b)

$\frac{1}{8}\cdot\frac{5}{6}$

c)

$\frac{1}{8}\cdot\frac{7}{8}$

d)

$\frac{7}{8}\cdot\frac{1}{6}$

e)

$\frac{7}{8}\cdot\frac{5}{6}$

26.

a)

$y=-2x-7$

b)

$y=-2x+7$

c)

$y=\frac{1}{2}x-7$

d)

$y=\frac{1}{2}x+7$

e)

$y=7x-4$

27.

a)

I and III only

b)

I, II, and III only

c)

I, III, and IV only

d)

II, III, and IV only

28.

Write the standard form. 8.98 x 10⁵

a)

89800000

b)

8980000

c)

8.9800000

d)

898000

29.

What is the scientific notation of 6700000?

a)

6.7 x 10⁵

b)

67 x 10⁶

c)

6.7 x 10⁶

d)

67 x 10⁵

30.

^{There are 45 boys and 54 girls in your school's senior class. What is the ratio of boys to girls?}

a)

1:5

b)

1:6

c)

5:6

d)

5:11

31.

Find the area if a = 13 in, b = 9 in and c = 16 in.

a)

38 in²

b)

117 in²

c)

468 in²

d)

58.5 in²

32.

Find the perimeter if x = 15 ft and y = 10 ft.

a)

50 ft

b)

25 ft

c)

60 ft

d)

150 ft

33.

What word phrase can you use to represent "5x + 2"?

a)

five times the sum of a number x and two

b)

two times the sum of a number x and five

c)

a number x times the sum of five and two

d)

the sum of five times a number x and two

34.

Find the number of degrees in the third angle of the triangle

a)

155

b)

112

c)

74

d)

68

35.

Find the measure of ∠ACD.

a)

130

b)

115

c)

65

d)

50

36.

Find the sum.
(5x²-3x + 4) + (6x -3x²- 3)

a)

3x² + 2x + 1

b)

2x² + 3x +1

c)

2x² + 5x - 7

d)

3x²+ 4x⁵ -7x

37.

If x is divisible by 3 and y is divisible by 5, which of the following must be divisible by 15?
I. xy
II. 3x + 5y
III. 5x + 3y

a)

I only

b)

I and II only

c)

I and III only

d)

I, II, and III

38.

In a set of 5 points, the mean, median, and mode are each equal to 8. Which of the following could be the data set?

a)

5,7,8,8,12

b)

7,7,8,8,12

c)

7,8,8,8,12

d)

7,8,8,10,12

39.

At the company YouGroove, 35 employees work in the sales department and 50 employees work in the operations department. Of these employees, 15 work in both sales and operations. How many of the 110 employees at YouGroove do NOT work in either the sales or the operations departments?

a)

10

b)

15

c)

35

d)

40

40.

If the function f(a,b) is defined as $f\left(a,b\right)=2ab-\left(a+b\right)$ then f(3,4) = ?

a)

7

b)

17

c)

21

d)

24

e)

31

41.

Lauren's World History teacher needs to select one of his 19 students to lead the class in song. Lauren's teacher decides that the song leader, who will be chosen at random, CANNOT be any of the 4 seniors in the class. Wht is the probability that Lauren, who is NOT a senior, will be chosen?

a)

0

b)

1/19

c)

1/15

d)

4/19

42.

THe expression $\frac{20y^8}{4y^2}$ is equivalent to:

a)

$5y^4$

b)

$5y^6$

c)

$5y^8$

d)

$16y^4$

e)

$16y^6$

ACT Math Practice

Total questions: 42

Worksheet time: 57mins

Similar Resources on Wayground