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.
1. ) If = 1 and = N, how would you find the perimeter of this rectangle? N+3 4
1. )Write an expression to find the perimeter. Simplify your answer.
1. )Write an expression to find the perimeter. Simplify your answer. N + 3 4 4 N + 3
1. )Write an expression to find the perimeter. Simplify your answer. N + 3 4 P = 2(N + 3) + 2(4) P = 2 N + 6 + 8 P = 2 N + 14 4 N + 3
1. ) If = 1 and = N, how would you find the area of this rectangle? N+3 4
1. ) If = 1 and = N, how would you find the area of this rectangle? N + 3 4
1. ) If = 1 and = N, how would you find the area of this rectangle? N + 3 4
1. ) If = 1 and = N, how would you find the area of this rectangle? N + 3 4 A=LXW A=NX 4 A = 4 N A=LXW A=3 X 4 A = 12 A = 4 N + 12
Write an expression to find the perimeter and area. Simplify your expressions. n+7 8
Find the perimeter and area. n+5 9 12 n
Represent this equation: x + 3 = 10 Use for x and for 1
Represent this equation: x + 3 = 10 Use for x and for 1
Represent this equation: x + 3 = 10 Use for x and for 1
Represent this equation: x + 3 = 10 Use for x and for 1
Represent this equation: 2 x + 3=11 Use for x and for 1
Represent this equation: 2 x + 3=11 Use for x and for 1
Represent this equation: 2 x + 3=11 Use for x and for 1
Represent this equation: 2(x + 3) = 11 Use for x and for 1
Represent this equation: 2(x + 3) = 11 Use for x and for 1 ( ( ) )
Represent this equation: 2(x + 3) = 11 Use for x and for 1 ( ( ) )
Represent this equation: 3(x + 2) = 2(x + 1) Use for x and for 1
Represent this equation: 3(x + 2) = 2(x + 1) Use for x and for 1
Represent this equation: 3(x + 1) = 2(x + 2) Use for x and for 1
- Slides: 30