Identifying Equivalent Expressions using Substitution

This video tutorial teaches how to identify equivalent expressions using substitution. It begins with an introduction to the concept and a review of the order of operations, highlighting common mistakes. The tutorial then demonstrates using substitution to verify if expressions are equivalent, with examples showing step-by-step calculations. The lesson concludes with a final example and a summary of the key points covered.

What is the correct order of operations when simplifying expressions?

• Addition, Subtraction, Multiplication, Division, Parentheses, Exponents

• Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

• Multiplication, Division, Addition, Subtraction, Parentheses, Exponents

• Exponents, Parentheses, Addition, Subtraction, Multiplication, Division

In the expression 5 times 3 plus 4, what is the correct first step according to the order of operations?

• Divide 5 by 3

• Subtract 4 from 5

• Multiply 5 and 3

• Add 3 and 4

When substituting x = 2 into the expressions 14x + 6 and 8x + 6(x + 1), what is the result for both expressions?

• Both equal 44

• Both equal 40

• Both equal 34

• Both equal 28

What value of x was used to verify the equivalence of 14x + 6 and 8x + 6(x + 1) a second time?

• x = 5

• x = 4

• x = 3

• x = 2

After substituting x = 3, what conclusion can be drawn about the expressions 4(5x + 2) and 4(2x + 5)?

• They are equivalent

• They are not equivalent

• They are both equal to 44

• They are both equal to 68