Master Rational Numbers: Operations and Applications

Question 1

Simplify the expression: -3/8 + 1/4

Accepted Answer

1/12

Answer

-1/8

Answer

-1/2

Answer

3/8

Question 2

Which of the following rational numbers is the greatest?

Accepted Answer

0.75

Answer

-0.5

Answer

0

Answer

1/2

Question 3

Which property of rational numbers is demonstrated in the equation: -3/8 + 1/4 = 1/4 + -3/8?

Accepted Answer

Commutative Property

Answer

Associative Property

Answer

Distributive Property

Question 4

Which of the following is an equivalent representation of the percent 25%?

Accepted Answer

0.25

Answer

0.15

Answer

0.35

Answer

0.45

Question 5

What is the result of multiplying -3/4 by 2/5?

Accepted Answer

-6/20

Answer

-6/10

Answer

6/10

Answer

6/20

Question 6

Which of the following is NOT a valid strategy for solving the proportion 3/x = 6/12?

Accepted Answer

Guess and check

Answer

Cross-multiply

Answer

Simplify the fractions

Answer

Use a double number line

Question 7

What is the value of (0.25)^2?

Accepted Answer

0.0625

Answer

0.05

Answer

0.125

Answer

0.25

Question 8

Which of the following is NOT a rational number?

Accepted Answer

3.1415

Answer

0.5

Answer

1/3

Answer

0.25

Question 9

Simplify the fraction 6/12.

Accepted Answer

1/2

Answer

3/5

Answer

4/9

Answer

5/12

Question 10

Find the percent equivalent of the fraction 7/8.

Accepted Answer

87.5%

Answer

50%

Answer

75%

Answer

125%

Question 11

Solve the equation: 1/3x + 1/6 = 1/4

Accepted Answer

x = 2

Answer

x = 1

Answer

x = 3

Answer

x = 4

Question 12

Which of the following operations does NOT preserve the order of rational numbers?

Accepted Answer

Division

Answer

Addition

Answer

Subtraction

Answer

Multiplication

Question 13

Which of the following is a mixed number?

Accepted Answer

1 1/3

Answer

0.75

Answer

5/6

Answer

-1.25

Question 14

Compare the rational numbers 0.125 and 1/8 using <, >, or =.

Accepted Answer

0.125 = 1/8

Answer

0.125 < 1/8

Answer

0.125 > 1/8

Question 15

Which property is NOT true for rational numbers?

Accepted Answer

Commutative property of addition does not hold

Answer

Closure under addition and subtraction

Answer

Closure under multiplication and division (except by zero)

Answer

Distributive property of multiplication over addition and subtraction

Question 16

Which property is NOT characteristic of rational numbers?

Accepted Answer

Uncountably infinite

Answer

Closed under addition and subtraction

Answer

Closed under multiplication and division (except for division by zero)

Answer

Densely ordered

Question 17

Which of the following is NOT a rational number?

Accepted Answer

π

Answer

-3/4

Answer

0.5

Answer

2.125

Question 18

Simplify the expression: (-3/5) + (2/7)

Accepted Answer

-19/35

Answer

-5/12

Answer

-9/21

Answer

-11/35

Question 19

Find the reciprocal of -2/3. Express the answer in its simplest form.

Accepted Answer

-3/2

Answer

2/3

Answer

3/2

Answer

-3/4

Question 20

Which of the following is an example of an irrational number?

Accepted Answer

√2

Answer

1/2

Answer

-3.14

Question 21

Find the least common multiple (LCM) of 6 and 8.

Accepted Answer

24

Answer

48

Answer

3

Answer

12

Question 22

Find the reciprocal of -3/4.

Accepted Answer

-4/3

Answer

3/4

Answer

4/3

Question 23

Solve the equation x - 1/3 = 5/6.

Accepted Answer

7/6

Answer

5/6

Answer

1/2

Answer

2/3

Question 24

Express the repeating decimal 0.333... as a fraction.

Accepted Answer

1/3

Answer

1/4

Answer

1/10

Answer

1/9

Question 25

Which of the following is equivalent to 150%?

Accepted Answer

3/2

Answer

2/3

Answer

3/4

Answer

1/2

Question 26

Solve for x: 2x - 5/6 = 1/3

Accepted Answer

11/12

Answer

5/6

Answer

-5/12

Answer

1/6

Question 27

Calculate the product of the following rational numbers: (-3/4) x (-2/5)

Accepted Answer

3/10

Answer

-3/10

Answer

6/20

Answer

-6/20

Question 28

Order the following rational numbers from least to greatest: -3/5, 0, 1/2, 1/4

Accepted Answer

-3/5, 1/4, 0, 1/2

Answer

1/2, 1/4, -3/5, 0

Answer

0, -3/5, 1/4, 1/2

Answer

1/4, -3/5, 0, 1/2

Question 29

Which statement regarding rational numbers is NOT accurate?

Accepted Answer

They are closed under division.

Answer

They exhibit closure under multiplication.

Answer

They are dense.

Answer

They exhibit closure under addition.

Question 30

Determine the sum of the fractions 1/4 and 3/8.

Accepted Answer

5/8

Answer

1/2

Answer

1/4

Answer

4/12

Question 31

Which of the following numbers exemplifies a rational number?

Accepted Answer

0.6666...

Answer

π

Answer

√-1

Answer

√2

Question 32

On a quiz with 25 questions, a student correctly answered 80% of the questions. How many questions did the student answer correctly?

Accepted Answer

20

Answer

25

Answer

15

Answer

10

Question 33

What is the simplified result of the expression: (1/3) + (2/5) - (1/2)?

Accepted Answer

11/30

Answer

1/3

Answer

4/5

Answer

7/30