Unit 2 Expressions and Equations Combine like terms

Standards: MCC7.EE.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. MCC7.EE.2 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.

Essential Questions How can we represent values using variables? What is the difference in an expression and an equation? How do I simplify expressions?

Like Terms: terms that have the same variable raised to the same power Like Terms: terms that have the same variable raised to the same power. Only the coefficients of like terms can be different. X Y a³ Vocabulary Variable: A symbol, usually a letter, which is used to represent one or more numbers. Coefficient: The number part of a term that includes a variable. For example, 3 is the coefficient of the term 3x. Constant: A quantity having a fixed value that does not change or vary, such as a number. For example, 5 is the constant of x + 5.

Vocabulary Numerical expression: An expression consisting of numbers and operations. 3 + 8 12 – 4 Term: A number, a variable, or a product and a number and variable. 6 n 7s p Inequality: A mathematical sentence formed by placing inequality symbol between two expressions. < > ≤ ≥ Equation: A mathematical sentence formed by setting two expressions equal. 3 + 8 = 1 + 10 less than Algebraic expression: An expression consisting of at least one variable and also consist of numbers and operations. N + 8 3x - 5 ?

Distributive Property: The sum of two addends multiplied by a number is the sum of the product of each addend and the number.

Create a model for the following linear expression: =x =y =1 Which terms can you combine?

Create a model for the following linear expression: =x =y =1 Which terms can you combine?

Create a model for the following linear expression: =x =y =1 x + x + 2 Which terms can you combine?

Create a model for the following linear expression: =x =y =1 x + x + 2 Which terms can you combine?

Create a model for the following linear expression: =x =y =1 x + 2x + 5 Which terms can you combine?

Create a model for the following linear expression: =x =y =1 x + 2x + 5 Which terms can you combine?

Create a model for the following linear expression: =x =y =1 Which terms can you combine?

Create a model for the following linear expression: =x =y =1 Which terms can you combine?

Create a model for the following linear expression: =x =y =1 2x + y + 3x Which terms can you combine?

Create a model for the following linear expression: =x =y =1 2x + y + 3x Which terms can you combine?

Create a model for the following linear expression: =x =y =1 x + 2 + x + y + 1 Which terms can you combine?

Create a model for the following linear expression: =x =y =1 x + 2 + x + y + 1 Which terms can you combine?

Create a model for the following linear expression: =x =y =1 2x + 3 + x + 3y + 4 Which terms can you combine?

Create a model for the following linear expression: =x =y =1 2x + 3 + x + 3y + 4 Which terms can you combine?

Use the following symbols ( ) to represent and simplify the following expression: Algebraically Pictorially Property 2x + 3 + x - 1

Use the following symbols ( ) to represent and simplify the following expression: Now you try: Algebraically Pictorially Property 2 + 3x + x + 4

Use the following symbols ( ) to represent and simplify the following expression: Now you try: Algebraically Pictorially Property 4 - 3x - x + 4

1. )Write an expression to find the perimeter and area 1.)Write an expression to find the perimeter and area. Simplify your answer. 2.)Now evaluate your expressions if N=5. N + 3 4

Write an expression to find the perimeter and area. 8

Find the perimeter and area. 9 12 n