Real Numbers: Interactive Quizzes and Practice Questions

Question 1

Which expression is equal to (2x)^3?

Accepted Answer

8x^3

Answer

6x

Answer

8x

Answer

2x^3

Question 2

Simplify (x - 2)(x + 3).

Accepted Answer

x^2 + x - 6

Answer

x^2 - x - 6

Answer

x^2 + x + 6

Answer

x^2 - x + 6

Question 3

Which graph shows the inequality x < 3?

Accepted Answer

A line with an open circle at x = 3 and shading to the left

Answer

A line with a closed circle at x = 3 and shading to the left

Answer

A line with an open circle at x = 3 and shading to the right

Answer

A line with a closed circle at x = 3 and shading to the right

Question 4

Simplify the numerical expression: (-3) + 5

Accepted Answer

2

Answer

-8

Answer

8

Answer

-2

Question 5

Simplify the algebraic expression: 2x + 3y - x + 5y

Accepted Answer

x + 8y

Answer

x - 2y

Answer

8x + 2y

Answer

-x + 8y

Question 6

What is the opposite of -5?

Accepted Answer

5

Answer

-5

Answer

0

Answer

Cannot determine

Question 7

Evaluate the expression: |5 - 7|

Accepted Answer

2

Answer

-2

Answer

12

Answer

-12

Question 8

Arrange the following real numbers in ascending order: 0.5, -1.2, 0, 2

Accepted Answer

-1.2, 0, 0.5, 2

Answer

-1.2, 0, 2, 0.5

Answer

0, -1.2, 0.5, 2

Answer

0, 0.5, -1.2, 2

Question 9

Which of the following is not a real number?

Accepted Answer

√(-1)

Answer

0

Answer

1/2

Answer

π

Question 10

What is the reciprocal of 1/2?

Accepted Answer

2

Answer

1/4

Answer

1/2

Answer

4

Question 11

What is the value of |-5|?

Accepted Answer

5

Answer

-5

Answer

0

Answer

10

Question 12

Find the absolute value of -12:

Accepted Answer

12

Answer

0

Answer

-12

Answer

Cannot be determined

Question 13

Simplify the fraction: 14/21

Accepted Answer

1/3

Answer

1/2

Answer

1/4

Answer

Cannot be simplified

Question 14

Simplify the following expression: 3(x - 2)

Accepted Answer

3x - 6

Answer

3x - 2

Answer

x - 6

Answer

x - 2

Question 15

Which of the following is a rational number?

Accepted Answer

3/4

Answer

π

Answer

√2

Answer

e

Question 16

What is the absolute value of -15?

Accepted Answer

15

Answer

0

Answer

-15

Answer

30

Question 17

Which of the following is NOT a property of real numbers?

Accepted Answer

Reflexive property

Answer

Closure property

Answer

Associative property

Answer

Commutative property

Question 18

Which of the following is an example of a decimal representation of a real number?

Accepted Answer

0.5

Answer

1/2

Answer

π

Answer

e

Question 19

Which of the following is NOT a characteristic of real numbers?

Accepted Answer

They include imaginary numbers like √(-1).

Answer

They include rational and irrational numbers.

Answer

They can be positive, negative, or zero.

Answer

They can be represented on a number line.

Question 20

Which of the following is equivalent to -0.5?

Accepted Answer

-1/2

Answer

5/10

Answer

1/2

Answer

-5/10

Question 21

Which of the following is greater than 0 but less than 1?

Accepted Answer

0.5

Answer

-0.5

Answer

0

Answer

1

Question 22

Which of the following is a rational number?

Accepted Answer

0.125

Answer

√2

Answer

π

Answer

e

Question 23

Which property is illustrated by the equation: (a + b) + c = a + (b + c)?

Accepted Answer

Associativity

Answer

Commutativity

Answer

Distributivity

Answer

Identity

Question 24

Solve for x: 2(x + 1) = 10

Accepted Answer

x = 3

Answer

x = 4

Answer

x = 5

Answer

x = 6

Question 25

Simplify the expression: 5 + (-3) - (-2)

Accepted Answer

8

Answer

4

Answer

10

Answer

6

Question 26

Which of the following is a rational number?

Accepted Answer

1/3

Answer

√2

Answer

π

Answer

-e

Question 27

Which of the following is a rational number?

Accepted Answer

3/4

Answer

√9

Answer

π

Answer

√2

Question 28

What is the result of (-5) + (+8)?

Accepted Answer

3

Answer

-13

Answer

-3

Question 29

Which property of real numbers is illustrated by the equation (2 + 3) + 4 = 2 + (3 + 4)?

Accepted Answer

Associative Property of Addition

Answer

Identity Property of Addition

Answer

Commutative Property of Addition

Answer

Distributive Property

Question 30

What is the value of -3 * 5?

Accepted Answer

-15

Answer

15

Answer

-8

Answer

8

Question 31

Which of the following is an irrational number?

Accepted Answer

√7

Answer

1/3

Answer

-2

Answer

0.5

Question 32

What is the reciprocal of 2/3?

Accepted Answer

3/2

Answer

-3/2

Answer

2/3

Answer

-2/3

Question 33

Simplify the expression: 2(x + 3) - 4x.

Accepted Answer

-2x + 6

Answer

-2x + 3

Answer

2x + 6

Answer

6x + 6

Question 34

Which number is greater: -10 or -5?

Accepted Answer

-5

Answer

They are equal

Answer

-10

Answer

Cannot be determined

Question 35

What is the value of 5²?

Accepted Answer

25

Answer

10

Answer

5

Answer

100

Question 36

A recipe calls for 1/4 cup of sugar. If you want to make half the recipe, how much sugar will you need?

Accepted Answer

1/8 cup

Answer

1/2 cup

Answer

1/4 cup

Answer

1/16 cup

Question 37

Which of the following is NOT a real number?

Accepted Answer

∞

Answer

0

Answer

-5

Answer

1

Question 38

Simplify the expression: (-2) + (-5)

Accepted Answer

-7

Answer

-3

Answer

7

Answer

3

Question 39

Which property of real numbers states that the sum of any two real numbers is associative?

Accepted Answer

Associative Property

Answer

Identity Property

Answer

Commutative Property

Answer

Distributive Property

Question 40

Evaluate the expression: (-3) x (-4)

Accepted Answer

12

Answer

-12

Answer

-6

Answer

6

Question 41

Which of the following sets of numbers is closed under multiplication?

Accepted Answer

Real Numbers

Answer

Rational Numbers

Answer

Natural Numbers

Answer

Integers

Question 42

Is the following statement true or false: All real numbers are rational numbers.

Accepted Answer

False

Answer

True

Answer

Only some real numbers are rational numbers

Answer

All rational numbers are real numbers

Question 43

Which of the following numbers is irrational?

Accepted Answer

√2

Answer

1/3

Answer

0

Answer

-5

Question 44

Simplify the expression: (2 + √3) - (1 - √3)

Accepted Answer

3 + 2√3

Answer

1 + 2√3

Answer

3 - 2√3

Answer

1 - 2√3

Question 45

Which of the following is the least common multiple of 6 and 8?

Accepted Answer

24

Answer

48

Answer

72

Answer

12

Question 46

Which of the following is the greatest common factor of 12 and 18?

Accepted Answer

6

Answer

9

Answer

3

Answer

12