Warm Up Write an example of a equivalent expression and most simplified expression for each problem below  2x + 3y – 20 + 2  6y + 5x 2 + 39x – 4(x.

Slides:

Advertisements

Similar presentations

Warm Up Lesson Presentation Lesson Quiz.

Advertisements

Solving Linear Equations

Intro to Algebra/Geometry Solving Equations by Adding or Subtracting.

Multiplication and Division Equations SWBAT solve multiplication equations using the division property of equality; solve division equations using the.

Bell work x - 10 = x = 2 2x = 12 = 5. Solving Two-Step Equations.

Bell Ringer X-7=18-4x=18 x/9=-12-4=5+x. How do we solve an equation??? Do inverse operations ie. If something is added, you subtract (vice-versa); if.

ALGEBRAIC EQUATIONS. EQUATIONS AND SOLUTIONS  A correct equation is like a balance scale.  In order to determine if a given value for a variable is.

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

Solving One and Two step Equations

Warm Up  – Evaluate.  (0.29)

Warm up Lesson 2.2 Use the distributive property to simplify each expression:

One step equations using multiplication and division.

I can solve one-step equations in one variable.. Equations that have the same solutions. In order to solve a one-step equation, you can use the properties.

Equation y + 5 y + 5 = 20 Expressions

Holt McDougal Algebra 1 Solving Two-Step and Multi-Step Equations Warm Up Evaluate each expression –3(–2) 2. 3(–5 + 7) – 4(7 – 5) Simplify.

Solving Two- Step Equations Lesson 2-2. Rules to Remember When solving an equation, the goal is to get the variable by itself. Addition and Subtraction.

Solving One and Two step Equations Sol A.1. Ex. 1) Solve r + 16 = -7 Think of this equation as a balance scale. Whatever you do to one side has to be.

One-Step Equations I can show that solving an equation leads to finding the value that makes the equation true.

Rules to Remember When solving an equation, the goal is to get the variable by itself. Addition and Subtraction are inverse operations. (opposites) Multiplication.

Solving Two-Step and 3.1 Multi-Step Equations Warm Up

Objective The student will be able to: solve equations using multiplication and division.

Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true = = 9 x = y +

Review Variable Expressions 1.2 Addition and Subtraction 1.3 Multiplication and Division 1.4 Multi-step equations 1.5 Variables on Both Sides.

Warm Up Solve. 1. x + 5 = 9 2. x – 34 = 72 = x – 39 x = 4 x = 106

Solving Equations By Adding or Subtracting. Key Terms Inverse Operations: –You can use inverse operations to solve equations. –“Undo” each other by performing.

Problem Solving with Two-Step Equations Objective: Learn to use more than one inverse operation to solve an equation.

Solving One Step Equations subtract 3 Adding or subtracting the same number from each side of an equation produces an equivalent equation. Addition.

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

Lesson 8.1. » A statement where two mathematical expressions are. » Think of an equation as a balance scale or teeter-totter. The left side must always.

Solving Two-Step and Multi-Step Equations Warm Up Lesson Presentation

Opener (5 + 6) • 2 a + (b + c) + (d • e) 18k x2 + 5x + 4y + 7

Two-Step Equations Review 1-Step 2-Step Equations Practice Problems.

Solving One and Two Step Equations What is a one – step equation? Examples: 1)3x = 21 2)a/5 = 10 3)5 + b = 12 4)x – 10 = 15 5)6t = 36.

3. 3 Solving Equations Using Addition or Subtraction 3

Solving Equations.

Solving Two- Step Equations

ONE STEP EQUATIONS.

ONE STEP EQUATIONS.

Solving Two- Step Equations

Warm-Up 13 x 3 14 x 4 12 x 11 9 x 13.

Warm up 11/1/ X ÷ 40.

Solving 1-Step Integer Equations

Solving Two- Step Equations

Objective Solve equations in one variable that contain more than one operation.

Solving Equations with the Variable on Both Sides

Solving Equations by 2-1 Adding or Subtracting Warm Up

Solving Algebraic Equations

Objective Solve equations in one variable that contain variable terms on both sides.

Warm Up Write an example of a equivalent expression and most simplified expression for each problem below 2x + 3y – y + 5x2 + 39x – 4(x + y)

EQ: How do I solve an equation in one variable?

Unit 1: Day 3 – 1 and 2 step equations

1.3 Solving Linear Equations

Solving Two-Step Equations Lesson 2-2 Learning goal.

Solving Two- Step Equations

Objective Solve equations in one variable that contain more than one operation.

Solving Equations Finding Your Balance

Objective Solve equations in one variable that contain variable terms on both sides.

Objective Solve equations in one variable that contain more than one operation.

Objective Solve equations in one variable that contain more than one operation.

Do Now Evaluate 9h + h if h = 2.1 Evaluate 2 (4 + g) 2 If g = 6.

10/3/11 In your notebook, answer completely the following:

Involving One Operation

ONE STEP EQUATIONS WHAT?!?!.

ONE STEP EQUATIONS.

Solving Equations by 2-1 Adding or Subtracting Warm Up

Involving One Operation

ONE STEP EQUATIONS.

Presentation transcript:

Warm Up Write an example of a equivalent expression and most simplified expression for each problem below  2x + 3y –  6y + 5x x – 4(x + y) Evaluate : 3. If a = 3, b = 9, and c = -4 evaluate: 6a 2 + 2b - ca

HW Check – 1.2

Solving Equations

Equality What does it mean for two things to be equal?

Are these equal? =

Equalities Equations are statements where two values are EQUAL! = 9

Equations When you have a variable, our goal is to find the solution that makes the two parts EQUAL. X + 1 = 5 What is x?

Check the solutions For the following determine if the x makes the equation true.  X + 3 = 6for x = 3  4x = 24for x = 7  2x + 4 = 10for x = 3

Inverse Operations Inverse operations are operations that “undo” each other. For example adding and subtracting are inverse operations. What are another type of inverse operations?

Solving Equations When we solve an equation, we want to get the variable BY ITSELF on one side of the equation! We can use INVERSE OPERATIONS to do this! Whatever you do to one side, you must do to the other side to keep things balanced. (think of the = sign as a balance)

Subtracting and Adding to Solve Use the inverse operation to solve: Ex:x + 4 = 6Ex:x – 3 = - 6

Try these! Use subtraction to solve:  x + 5 = 10  w = 3.5  y =

Try these! Use addition to solve:  x – 4 = 12  z – 2.3 = 3.8  y – 5.3 =

Word Problem Lisa and Derrick went to the mall to sell tickets to the school play. They separated to cover more area. Combined they had sold 13 tickets. If Lisa sold seven, how many did Derrick sell?

Using Division to Solve When x is multiplied by a number we can divide to get x by itself. EX: 4x = 8 EX: -2x = 16

Using Multiplication to Solve When x is divided by a number, we can multiply BOTH sides of the equation by the number to get x by itself. EX: = 7EX: = 5

Two Step Equations So far we have only done one operation to solve… lets try two When solving two-step Equations: FIRST: undo what is farthest away from the variable (usually addition or subtraction) THEN: undo what is left (usually multiplication or division)

Example 15x + 3 = 48

Example – 10 = -6

Example 9g + 11 = 2

When in a Fraction Undo the bottom FIRST then the top!

Solving 2 step equations Scavenger Hunt You will be solving 10 equations You may start at any problem that you see hanging around the room When you solve an equation look for a paper that has the answer you just got, then solve the next equation. No more then 3 people at any one paper!!

Coming up… HW 1.3 QUIZ Friday