# ACT Mathematics: Algebra, Probability, and Statistics Quiz (2019-2020 ACT test)

This is an MCQ-based quiz on the topic of ACT Mathematics: Algebra, Probability, and Statistics (2019-2020 ACT test).

This set of MCQs helps you brush up on the important mathematics topic and prepare you to dive into skill practice and expand your knowledge to tackle the question and answer it carefully.

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The average of a list of 4 numbers is 90.0. A new list of 4 numbers has the same first 3 numbers as the original list, but the fourth number in the original list is 80, and the fourth number in the new list is 96. What is the average of this new list of numbers?

90.0

91.5

94.0

94.5

At the school carnival, Mike will play a game in which he will toss a penny, a nickel, and a dime at the same time. He will be awarded 3 points for each coin that lands with heads faceup. Let the random variable x represent the total number of points awarded on any toss of the coins. What is the expected value of x ?

1

3/2

9/2

6

The list of numbers 41, 35, 30, X, Y, 15 has a median of 25. The mode of the list of numbers is 15. To the nearest whole number, what is the mean of the list?

20

25

26

30

Which of the following expressions is a factor of x^3 − 64 ?

x-4

x+4

x +64

x-6

What is the value of the expression below?

⎪⎪−8 + 4⎪ − ⎪3 − 9⎪⎪

-18

-2

0

2

. What is the sum of the solutions of the 2 equations below?

8x = 12

2y + 10 = 22

12/5

15/2

9

10

When x = 1/2, what is the value of (8x-3)/x?

1/2

2

5/3

5

A wallet containing 5 five-dollar bills, 7 ten-dollar bills, and 8 twenty-dollar bills is found and returned to its owner. The wallet’s owner will reward the finder with 1 bill drawn randomly from the wallet. What is the probability that the bill drawn will be a twentydollar bill?

1/20

4/51

1/8

2/5

For what value of x is the equation 2^(2x + 7) = 2^15 true?

2

4

11

16

. In the standard (x,y) coordinate plane, what is the midpoint of the line segment that has endpoints (3,8) and (1,−4) ?

-2, -12

-1, -6

11/2, -3/2

2,2

Quiz/Test Summary
Title: ACT Mathematics: Algebra, Probability, and Statistics Quiz (2019-2020 ACT test)
Questions: 10
Contributed by: 