*Based on an average of 32 semester credits per year per student. Source
Lesson 18 & 19 Outcomes:
Students create equivalent forms of expressions in order to see structure, reveal characteristics, and make connections to context.
Students compare equivalent forms of expressions and recognize that there are multiple ways to represent the context of a word problem.
Students write and evaluate expressions to represent real-world scenarios.
An expression is a number or a letter, which can be raised to a whole number exponent. An expression can be a product whose factors are any one of the entities described above. An expression can also be the sum and/or difference of the products described above.
To evaluate an expression, replace each variable with its corresponding numerical value. Using order of operations, the expression can be written as a single numerical value.
Expressions are equivalent if they evaluate to the same number for every substitution of numbers into all the letters in each expression.
Two expressions are equivalent if they yield the same number for every substitution of numbers for the letters in each expression.
The expression that allows us to find the cost of an item after the discount has been taken and the sales tax has been added is written by representing the discount price added to the discount price multiplied by the sales tax rate.