Unit 2 Expressions and Equations

Slides:



Advertisements
Similar presentations
WARM UP  Use the Distributive Property to rewrite the expression without parentheses. 1. 5(y - 2) 2. -2(x - 6) 3. -1(1 + s) 4. -2(2 + t) 5. -3(x – 4)
Advertisements

Solving Linear Equations
Prerequisite Skills VOCABULARY CHECK Copy and complete using a review word from the list; perimeter, distributive property, like terms, inequality, reciprocal.
WordDefinitionExample Equation A mathematical statement that says two expressions are equal Inequality A mathematical statement that compares two expressions.
Taks Objective 2 Properties and attributes of function.
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.
1.2 – Evaluate and Simplify Algebraic Expressions A numerical expression consists of numbers, operations, and grouping symbols. An expression formed by.
Objectives: To evaluate and simplify algebraic expressions.
Unit 6 vocabulary Test over words next week, it will benefit you to study and understand what there words mean.
Unit 6 vocabulary Test over words next week, it will benefit you to study and understand what there words mean.
Unit 6 vocabulary Test over words next week, it will benefit you to study and understand what there words mean.
Thinking Mathematically
Vocabulary... First, we need to know some vocabulary…  Expression: a mathematical phrase that is a combination of one or more variables, constants, and.
EXPRESSIONS. Vocabulary A variable is a symbol, usually a letter, used to represent a number. –Example: 4x (x is the variable) A coefficient is the number.
Adding and Subtracting Expressions
Unit 2 Expressions and Equations Combine like terms.
Unit 1 – First-Degree Equations and Inequalities
Introduction to Algebra. What do you think of when you hear “algebra”?
6 th grade Math Vocabulary Word, Definition, Model Emery UNIT 2.
7 th Grade Math Vocabulary Word, Definition, Model Emery Unit 2.
1.7 Simplifying Expressions Essential Questions: 1)What is the distributive property? 2)How do you simplify expressions?
Combining Like Terms and the Distributive Property Objectives: Students will be able to explain the difference between algebraic equations and expressions.
 To evaluate algebraic expressions  To simplify algebraic expressions Algebra 2 Foundations, pg 18.
MTH 091 Sections 3.1 and 9.2 Simplifying Algebraic Expressions.
Essential Question: How do we Evaluate Algebraic Expressions? (+ & -) U3D4.
Essential Question: How do we Evaluate Algebraic Expressions? (● & /) U3D5.
Algebraic Expressions 1. Objective: Translate among different representations of algebraic expressions, equations and inequalities Essential Question:
1.4 Solving Equations.
3.1 – Simplifying Algebraic Expressions
Compare and Contrast equations and expressions using vocabulary
2 Understanding Variables and Solving Equations.
Objective: SWBAT simplify expressions by combining like-terms.
Combining Like Terms and using the Distributive Property
The number of times a number or expression (called a base) is used as a factor of repeated multiplication. Also called the power. 5⁴= 5 X 5 X 5 X 5 = 625.
Expressions and Equations Review Day 3
Algebra.
ALGEBRA VOCABULARY.
2-4 The Distributive Property
W.A.M. (Writing About Math) 1-5.
Warm-up September 14, 2017 Change to a decimal: 87% 7%
Bellringer 10.4Writing to Win:
Bellringer 10.4Writing to Win:
Compare and Contrast equations and expressions using vocabulary
6.1 Algebraic Expressions & Formulas
Unit 2 Expressions and Equations
Complex Numbers Real Numbers Imaginary Numbers Rational Numbers
ALGEBRA. ALGEBRA VARIABLES AND EXPRESSIONS Algebra – Uses symbols to represent quantities that are unknown or that vary. You can represent mathematical.
SIMPLIFY THE EXPRESSION
7th Grade Math Vocabulary
1.4 Solving Equations I’ve taught you how to solve equations the “simonized” way but here’s another way of doing the same thing!
Expressions and Equations
Algebra Stop Being Scared!!!.
Chapter 2: Rational Numbers
Evaluating Algebraic Expressions
LINEAR EQUATIONS.
Expressions and Equations
Algebraic Expression A number sentence without an equal sign. It will have at least two terms and one operations.
EQ: How do I Combine Like Terms?
Equivalent Linear Expressions
What is each an example of?
LINEAR EQUATIONS.
Solving Equations.
Evaluating Algebraic Expressions
Do Now Evaluate each algebraic expression for y = 3. 3y + y y
Maintenance Sheet 10 due Friday
Maintenance sheet 10 due Friday
Simplify Algebraic Expressions
Lesson – Teacher Notes Standard:
Algebraic Expressions & Solving Equations
Vocabulary Algebraic expression Equation Variable
Presentation transcript:

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