Understanding Expressions with Substitution and Order of Operations

The video tutorial explains how to evaluate expressions by substituting the variable x with the number 5. It covers three expressions: x squared plus three, (x plus three) squared, and x squared plus 2x plus three. The tutorial emphasizes the importance of using parentheses during substitution and follows the order of operations to simplify each expression step-by-step.

Why is it important to use parentheses when substituting a value for a variable?

• To avoid using negative numbers

• To emphasize the substitution and sometimes it's required

• To ensure the correct order of operations

• To make the expression look neat

What is the result of substituting 5 for x in the expression x squared plus three?

• 25

• 35

• 28

• 30

What is the first step in simplifying the expression (x + 3) squared when x equals 5?

• Multiply the terms

• Add 3 to x

• Subtract 3 from x

• Square the number

What is the value of (5 + 3) squared?

• 25

• 64

• 36

• 16

In the expression x squared plus 2x plus 3, what is the first operation to perform after substituting x with 5?

• Add 2 to x

• Add 3 to x

• Multiply 2 by 5

• Square 5

What is the result of 5 squared in the expression x squared plus 2x plus 3?

• 10

• 25

• 15

• 20

After calculating 5 squared and 2 times 5, what is the next step in solving x squared plus 2x plus 3?

• Add 25 and 10

• Subtract 3

• Multiply by 3

• Divide by 2

What is the final result of the expression x squared plus 2x plus 3 when x equals 5?

• 28

• 58

• 48

• 38

What is the purpose of following the order of operations in mathematical expressions?

• To make calculations faster

• To ensure consistent and correct results

• To simplify expressions

• To avoid using parentheses

Which operation is performed first according to the order of operations?

• Addition

• Subtraction

• Multiplication

• Exponents