Unit 2 Expressions and Equations Combine like terms
Unit 2 Expressions and Equations Combine like terms
Standards: MCC 7. EE. 1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. MCC 7. 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?
X Vocabular Y V ariable: A symbol, usually a yletter, which is used to represent a one or more numbers. ³ Coefficient: The number part of a term that includes a variable. For example, 3 is the coefficient of the term 3 x. 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. Like Terms: terms that have the same variable raised to the same power. Only the coefficients of like terms can be different.
Vocabular y Numerical expression: An expression consisting of numbers and Term: A number, a variable, or a product and a number and variable. 6 n 7 s operations. 12 – 4 p Inequality: A mathematical sentence formed by placing inequality symbol between two expressions. < > ≤ ≥ less than 3+8 Equation: A mathematical sentence formed by setting two expressions equal. 3 + 8 = 1 + 10 Algebraic expression: An expression consisting of at least one variable and also consist of numbers and operations. N+8 3 x - 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 x + 2 Which terms can you combine?
Create a model for the following linear expression: =x =y =1 x + 2 Which terms can you combine?
Create a model for the following linear expression: =x =y =1 x + 2 Which terms can you combine?
Create a model for the following linear expression: =x =y =1 x + 2 Which terms can you combine?
Create a model for the following linear expression: =x =y =1 x + 2 x + 5 Which terms can you combine?
Create a model for the following linear expression: =x =y =1 x + 2 x + 5 Which terms can you combine?
Create a model for the following linear expression: =x =y =1 x + y Which terms can you combine?
Create a model for the following linear expression: =x =y =1 x + y Which terms can you combine?
Create a model for the following linear expression: =x =y =1 2 x + y + 3 x Which terms can you combine?
Create a model for the following linear expression: =x =y =1 2 x + y + 3 x 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 2 x + 3 + x + 3 y + 4 Which terms can you combine?
Create a model for the following linear expression: =x =y =1 2 x + 3 + x + 3 y + 4 Which terms can you combine?
Use the following symbols ( ) to represent and simplify the following expression: Algebraically 2 x + 3 + x - 1 Pictorially Property
Use the following symbols ( ) to represent and simplify the following expression: Now you try: Algebraically Pictorially Property 2 + 3 x + 4
Use the following symbols ( ) to represent and simplify the following expression: Now you try: Algebraically Pictorially Property 4 - 3 x - x + 4
1. )Write an expression to find the perimeter and area. Simplify your answer. N+3 4 2. )Now evaluate your expressions if N=5.
Write an expression to find the perimeter and area. n+7 8
Find the perimeter and area. n+5 9 12 n
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