Unit 1: Evaluating and Simplifying Expressions Expression:A math statement without an equal sign (simplify, evaluate, or factor) Evaluate:Testing a value.

Slides:

Advertisements

Similar presentations

1.3 Solving Equations 1.5 Solving Inequalities

Advertisements

Solving Inequalities with variables on both sides of the Sign

Solving Equations with the Variable on Both Sides Objectives: to solve equations with the variable on both sides.

Example 2 4 m 8 m 5m 12 m x y.

Solving Linear Equations

Algebra I Concept Test # 2 – Equations, Inequalities and A.V.

Solving Linear Inequalities A Linear Equation in One Variable is any equation that can be written in the form: A Linear Inequality in One Variable is any.

Introduction Solving inequalities is similar to solving equations. To find the solution to an inequality, use methods similar to those used in solving.

Linear Inequalities in one variable Inequality with one variable to the first power. for example: 2x-3

Solving Equations with variables on both sides of the Equals Chapter 3.5.

© 2007 by S - Squared, Inc. All Rights Reserved.

Operations: Add, Subtract, Multiply, Divide

Solving One Step Equations and Inequalities Math 7/8.

Vocabulary inequality algebraic inequality solution set 1-9 Introduction to Inequalities Course 3.

An equation is a mathematical statement that two expressions are equivalent. The solution set of an equation is the value or values of the variable that.

Linear Equations in One variable Nonlinear Equations 4x = 8 3x – = –9 2x – 5 = 0.1x +2 Notice that the variable in a linear equation is not under a radical.

4.1.2 – Compound Inequalities. Recall from yesterday, to solve a linear- inequality, we solve much like we solve an equation – Isolate the variable –

Math 021.  An equation is defined as two algebraic expressions separated by an = sign.  The solution to an equation is a number that when substituted.

Solving Inequalities. What are Inequations? Statements showing inequalities One quantity or expression is not equal to another.

Equation y + 5 y + 5 = 20 Expressions

Ch 2.5 Variable on Both Sides Objective: To solve equations where one variable exists on both sides of the equation.

Math 3 Hon - Unit 2: Evaluating and Simplifying Expressions Expression A math statement without an equal sign (simplify, evaluate, or factor) Evaluate.

1.3 Solving Linear Equations

Chapter 2 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 2-1 Solving Linear.

Section 4.3 Solving Absolute Value Equations and Inequalities

Solving Inequalities and their Graphs

Drill #4 Evaluate the following if a = -2 and b = ½. 1. ab – | a – b | Solve the following absolute value equalities: 2. |2x – 3| = |5 – x | + 4.

 Solve the following equations. 1. 3x= x+3= (x+1)=12.

One Step Equations and Inequalities Review

© 2007 by S - Squared, Inc. All Rights Reserved.

Do Now: Please finish word wall before you start equations

Ch 2.4 (part 2) Multi-Step Objective: To solve multi-step variable equations by using three or more properties.

Solving two step Inequalities < < < > < > <

Warm Up Simplify each expression. 1.10c + c 2. 5m + 2(2m – 7) 11c 9m – 14.

Algebra 1 EOC Summer School Lesson 10: Solve Linear Equations and Inequalities.

3.5 Solving Equations with Variables on Both Sides.

Before: September 21, During: Solving One- Step Inequalities Learning Target: I can solve one-step inequalities by using addition, subtraction,

My Equations Booklet.

Graphing and Solving Inequalities

Solving Two step equations

Ch 2 – Solving Linear Inequalities

Example: Solve the equation. Multiply both sides by 5. Simplify both sides. Add –3y to both sides. Simplify both sides. Add –30 to both sides. Simplify.

Solving Multi-Step Equations

Algebraic Inequalities

Example 2 4 m 8 m 5m 12 m x y.

Solving Equations with the Variable on Both Sides

Lesson 3.1 How do you solve two-step equations?

Solving Systems using Substitution

Solving Multi-Step Equations

Example 2 4 m 8 m 5m 12 m x y.

Lesson 2.1 How do you compare positive and negative numbers?

Lesson 2.1 How do you use properties of addition and multiplication?

Lesson 3.1 How do you solve one-step equations using subtraction, addition, division, and multiplication? Solve one-step equations by using inverse operations.

Solving Multi-Step Equations

OBJECTIVE: Students will solve multistep equations.

1.3 Solving Linear Equations

Solving Multi-Step Equations

Solving Equations Finding Your Balance

12 Systems of Linear Equations and Inequalities.

Solving Equations with Variables on Both Sides

Solving Linear Equations and Inequalities

Solving Multi-Step Equations

Section Solving Linear Systems Algebraically

Solving Multi-Step Equations

Solving and Graphing Linear Inequalities

UNIT SELF-TEST QUESTIONS

Unit 2B/3A Solving Equations

Lesson Evaluating and Simplifying Expressions

Presentation transcript:

Unit 1: Evaluating and Simplifying Expressions Expression:A math statement without an equal sign (simplify, evaluate, or factor) Evaluate:Testing a value for a variable in an expression (using PEMDAS and substitution) Simplify: To complete all order of operations (PEMDAS) and properties in an expression Equation:A math statement with an equal sign (solve) Inequality:A math statement with an inequality sign (solve)

Example 1Evaluating Expressions Evaluate the following expressions. Let x = 5, y = -2, and z = 2. a) b) c) d)

Example 2Simplifying Expressions Simplify the following expressions… Distribute and Combine Like Terms a) b) c) d)

Unit 1: Solving Linear Equations & Inequalities [1]Simplify both side of equation / inequality [2]Move the variable to one side. INEQUALITIES Special Note: With inequalities if you divide or multiply both sides by a negative value, switch the inequality sign direction Add: + – :Subtract Multiply: x, · ÷ :Divide (...) 2 :Square [3]Use inverse operations to isolate the variable to equal a value. Operations must be the same on both sides of equation. (Inverse Operations order = Backwards of PEMDAS ) Square Root:

PRACTICE:Solving Equations

x – (2x – 2) = 3x – x – (2x + 3) = 2x PRACTICE:Solving Equations

When solving inequalities the same rules apply EXCEPT when you multiply or divide by a negative number…flip the sign! KEY WORDS: <>  ≥ Less thanGreater than At most No more than At least No less than Graphing: Open circle = Closed circle = , ≥ Solving Inequalities 1. 2.

PRACTICE:Solving Inequalities