Order of Operations Quiz: Master Math Expressions

Question 1

What is the correct order of mathematical operations, often referred to as PEMDAS?

Accepted Answer

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

Answer

Multiplication, Exponents, Division, Parentheses, Addition, Subtraction

Answer

Parentheses, Exponents, Division, Multiplication, Addition, Subtraction

Answer

Parentheses, Exponents, Addition, Multiplication, Division, Subtraction

Question 2

Which of the following is NOT a step in the Order of Operations?

Accepted Answer

Subtraction

Answer

Parentheses

Answer

Exponents

Answer

Multiplication

Question 3

Solve: [(5 + 3) x 2] - 6

Accepted Answer

11

Answer

7

Answer

15

Answer

19

Question 4

The Order of Operations helps ensure:

Accepted Answer

Consistent results when solving expressions

Answer

Elimination of mathematical errors

Answer

Simplified calculations

Answer

Accurate financial projections

Question 5

Which operation has the highest priority in PEMDAS?

Accepted Answer

Parentheses

Answer

Multiplication

Answer

Division

Answer

Addition

Question 6

Simplify the expression: (x + y) ^ 2 - (x - y) ^ 2

Accepted Answer

4xy

Answer

2xy

Answer

xy

Answer

x^2 - y^2

Question 7

Evaluate: (5 + 2) × (4 - 1)

Accepted Answer

21

Answer

27

Answer

24

Answer

18

Question 8

Calculate: 10 - 4 ÷ 2 + 6

Accepted Answer

8

Answer

10

Answer

6

Answer

12

Question 9

Evaluate: (6 + 3) × (4 - 2) - 5

Accepted Answer

15

Answer

17

Answer

13

Answer

19

Question 10

In the expression 12 - 2 × (3 + 5), which operation should be performed first?

Accepted Answer

Adding 3 and 5

Answer

Multiplying 2 by 8

Question 11

Evaluate the expression: 10 / (2 + 3) - 4

Accepted Answer

-6

Answer

-4

Answer

2

Answer

6

Question 12

Simplify the expression: 6 + 2 * 4 - (3 * 2 - 2)

Accepted Answer

12

Answer

10

Answer

14

Question 13

Solve the expression: 10 - 2 * (3 + 4) / 5

Accepted Answer

2

Answer

4

Answer

0

Answer

6

Question 14

An item originally costs $100.  What is the final price after a 10% discount, using the formula: Total Cost = Original Price - (Original Price * Discount Percentage)?

Accepted Answer

$90

Answer

$10

Answer

$110

Answer

$95

Question 15

A business invests $5,000 and earns a 15% annual return. What is the total value after two years using the formula: Total Value = Initial Investment * (1 + Return Rate)^Number of Years?

Accepted Answer

$6,551.25

Answer

$10,000

Answer

$7,500

Answer

$6,000

Question 16

A company's revenue for three months is $10,000, $15,000, and $20,000.  What is the average revenue using the formula: Average Revenue = (Sum of Revenues) / Number of Months?

Accepted Answer

$15,000

Answer

$45,000

Answer

$20,000

Answer

$10,000