Identify Equivalent Expressions

The video tutorial explains the concept of equivalence, using examples like 5 pennies and 1 nickel, and 60 seconds and one minute. It distinguishes between expressions and equations, highlighting that expressions do not contain an equal sign. The tutorial demonstrates how to determine if expressions are equivalent by assigning values to variables and simplifying. It provides examples with single and multiple variables, showing how to test for equivalence by substituting values and simplifying expressions.

What does it mean for two items to be equivalent?

• They have different values.

• They have the same value.

• They are both coins.

• They are both numbers.

Which of the following is NOT a characteristic of a mathematical expression?

• Represents a single value

• Includes an equals sign

• Contains numbers and symbols

• May include variables

How can you determine if two expressions are equivalent?

• By comparing their lengths

• By substituting values for variables and simplifying

• By checking if they look the same

• By ensuring they have the same number of terms

What is the result of substituting Y=5 in the expression y + y + y?

• 10

• 20

• 25

• 15

If X=4, what does the expression 3 * X + 6 simplify to?

• 20

• 12

• 14

• 18

What is the first step in checking if expressions with multiple variables are equivalent?

• Divide the variables

• Assign values to each variable

• Add all the variables together

• Multiply the variables

When A=2 and B=4, what does the expression 16 * a / b simplify to?

• 4

• 8

• 16

• 32