Section 1 - Order of operations with Algebra

Question 1

What is the order of operations in mathematics?

Answer 1

The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Question 2

True or False: In the order of operations, multiplication always comes before addition.

Answer 2

True

Question 3

Fill in the blank: The acronym PEMDAS stands for ___.

Answer 3

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction

Question 4

What does the ‘P’ in PEMDAS represent?

Answer 4

Parentheses

Question 5

What does the ‘E’ in PEMDAS represent?

Answer 5

Exponents

Question 6

Solve: 3 + 5 × 2.

Answer 6

13

Question 7

Solve: (4 + 6) × 2.

Answer 7

20

Question 8

What is the first step in the order of operations?

Answer 8

Solve expressions in parentheses.

Question 9

True or False: You should always solve exponents before multiplication.

Answer 9

True

Question 10

What is the result of 2 + 3 × (4 - 1)?

Answer 10

11

Question 11

What should you do first in the expression: 7 - (3 + 2) × 2?

Answer 11

Solve the parentheses first.

Question 12

Solve: 2^3 × 3.

Answer 12

24

Question 13

What does the expression 10 ÷ 2 + 3 represent when applying the order of operations?

Answer 13

First divide 10 by 2, then add 3, resulting in 8.

Question 14

Solve: (5 + 3)² - 10.

Answer 14

54

Question 15

In the expression 8 - 2 × 3 + 1, which operation is performed first?

Answer 15

Multiplication (2 × 3)

Question 16

True or False: In the expression 6 + 4 ÷ 2, you perform addition before division.

Answer 16

False

Question 17

What is the result of the expression: 4 × (5 - 3) + 2?

Answer 17

10

Question 18

Fill in the blank: The expression 2 × (3 + 4) - 5 evaluates to ___.

Answer 18

9

Question 19

Solve: 12 ÷ (2 + 4) × 3.

Answer 19

6

Question 20

What is the result of 5 + 2 × 3 - 1?

Answer 20

10

Question 21

What does the expression (3 + 5) × (2 - 1) equal?

Answer 21

8

Question 22

True or False: You can perform addition before multiplication if it is written first.

Answer 22

False

Question 23

Fill in the blank: The expression 9 - 4 ÷ 2 × 3 evaluates to ___.

Answer 23

3

Question 24

What is the final answer for the expression 5 + 3 × 2 - 1?

Answer 24

10

Question 25

Solve: 10 - (2 + 3) × 2.

Answer 25

0

Question 26

What is the value of the expression 3 × (2 + 4) - 5?

Answer 26

15

Question 27

True or False: In the expression 7 + 8 ÷ 4, you should divide before adding.

Answer 27

True

Question 28

What is the result of 6 + 2 × (5 - 3)?

Answer 28

10

Question 29

Solve the expression: (8 - 2) × (3 + 1).

Answer 29

24

Question 30

What is the order of operations when dealing with algebraic expressions?

Answer 30

Follow PEMDAS just as with numerical expressions.

Question 31

Fill in the blank: The expression 4 × (x + 2) when x = 3 evaluates to ___.

Answer 31

20

Question 32

What is the result of 2(x + 3) when x = 4?

Answer 32

14

Question 33

True or False: The order of operations does not change when variables are included.

Answer 33

True