Identifying Equivalent Expressions (Example)

The video tutorial demonstrates how to test the equality of two expressions by substituting different values for x. Initially, x is set to 1, and both expressions are evaluated using the order of operations, resulting in equal values. To confirm equivalence, x is then set to 4, and both expressions again yield the same result, proving they are equivalent.

What is the first step in testing if two expressions are equivalent?

• Add the expressions together.

• Substitute a value for x in both expressions.

• Multiply the expressions.

• Divide the expressions by x.

When substituting x equals 1, what should you remember to use?

• The commutative property.

• The associative property.

• The distributive property.

• Order of operations.

What was the result when x equals 1 was substituted into both expressions?

• The expressions were undefined.

• The expressions resulted in zero.

• The expressions were equal.

• The expressions were not equal.

What value of x was used to further test the equivalence of the expressions?

• x equals 5

• x equals 2

• x equals 3

• x equals 4

What was the result when x equals 4 was substituted into both expressions?

• Both expressions equaled 27.

• Both expressions equaled 16.

• Both expressions equaled 9.

• Both expressions equaled 0.