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3/25/2013 Warm Up COPY in MATH NOTEBOOK. What is the difference between expressions and equations? What properties have we discussed to help us simplify or solve problems?. Expressions you simplify Equations you solve for the variable’s value PROPERTIES?.
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3/25/2013 Warm UpCOPY in MATH NOTEBOOK What is the difference between expressions and equations? What properties have we discussed to help us simplify or solve problems?
Expressions you simplify • Equations you solve for the variable’s value PROPERTIES?
Variable: A symbol, usually a letter, which is used to represent one or more numbers. • Numerical expression: An expression consisting of numbers and operations. • Algebraic expression: An expression consisting of at least one variable and also consist of numbers and operations. • Equation: A mathematical sentence formed by setting two expressions equal. • Inequality: A mathematical sentence formed by placing inequality symbol between two expressions.
TODAY we will look at these closer. • Term: A number, a variable, or a product and a number and variable. • Coefficient: The number part of a term that includes a variable. For example, 3 is the coefficient of the term 3x.
Like Terms & substitution to check • Have the same variables, but they do not need to have the same coefficient. Ex: 3x and 2x are like terms. Ex: 4x + 10x + 5 + 7 You can combine 4x +10x and 5 + 7 Ex: Find the sum of -2x + 3x Ex: 7y-2y • Rewrite using distributive property
A restaurant sells sandwiches for d dollars. To keep up with rising costs, the owner will increase the price of each sandwich by 10%. Write an expression to represent the new cost of a sandwich. Then simplify it.
Justify • Justify why the sum of 3a and 2b cannot be represented as 5ab.