One & Two Step Equations INTEGRATED MATHEMATICS Vocabulary Equation: A statement that the values of two mathematical expressions are equal Equation:

Slides:

Advertisements

Similar presentations

Solving Word Problems w/ Algebra. Algebra To solve for a variable you must isolate the variable by using the “inverse” operation on both sides (what do.

Advertisements

Solving One Step Equations using inverse operations. 2-2

Chapter 3 Math Vocabulary

ALGEBRA EQUATIONS ► Goals for solving equations – Isolate the variable, and use the inverse operations to undo the operation performed on the variable.

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

Solving Equations by Adding and Subtracting: Vocabulary Solve: To solve an equation mean to find a solution to the equation. Isolate the variable: Get.

Solving one- and two-step equations. Solving One-Step Equations using Additive Inverse Steps Given the equation x + 4 = 9 use the inverse of adding 4.

2.2 Solving Two-Step Equations I can solve two-step equations in one variable.

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

Fill in the blank correctly 1.Dr. __________ wrote the Cat in the Hat. 2.___________ is the third planet from the sun. 3. There are _________ hours in.

Warm Up  – Evaluate.  (0.29)

Ch 2.4 (part 1) Two Step Objective: To solve two-step variable equations using both the Inverse Property of Addition & the Inverse Property of Multiplication.

Lesson 1.1 Objective: To solve equations using addition, subtraction, multiplication, and division Are operations that undo each other such as addition.

Solving Linear Equations To Solve an Equation means... To isolate the variable having a coefficient of 1 on one side of the equation. Examples x = 5.

Commutative Properties The Commutative Property is when a change in the order of the numbers does not change the answer. For example, addition would be:

Solving Equations Using Multiplication and Division 4 A.4f Apply these skills to solve practical problems. 4 A.4b Justify steps used in solving equations.

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.

Solving 2-Step Variable Equations. Two Step Equations Essential Question How are inverse operations used to solve two step equations? Why does order matter.

 A.4f Apply these skills to solve practical problems.  A.4b Justify steps used in solving equations.  Use a graphing calculator to check your solutions.

One step equations Add Subtract Multiply Divide  When we solve an equation, our goal is to isolate our variable by using our inverse operations.  What.

3/29/07Ms. Waters. 3/29/07Ms. Waters Objectives To apply the properties of equality To simplify expressions using addition, subtraction, multiplication.

Lesson 1-8 Solving Addition and Subtraction Equations.

Algebra 1 Chapter 2 Section : Solving One-Step Equations An equation is a mathematical statement that two expressions are equal. A solution of an.

Ch 1.7 (part 1) One Step (Addition & Subtraction) Objective: To solve one-step variable equations using the Inverse Property of Addition.

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

Solving One-Step Equations © 2007 by S - Squared, Inc. All Rights Reserved.

Solving Equations Using Addition and Subtraction A.4f Apply these skills to solve practical problems. A.4b Justify steps used in solving equations. Objectives.

Solving One-Step Equations Unit 10. To Solve an Equation 1.Isolate the variable – get the letter by itself Inverse Operation 2.Use the Inverse Operation.

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 +

 A.4f Apply these skills to solve practical problems.  A.4b Justify steps used in solving equations.  Use a graphing calculator to check your solutions.

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

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

11-1 Solving Two-Step Equations Do Now Solve. 1. n + 9 = z = x = n = 8 x = 7 z = -16 = 9 y = 72 y8y8.

Solving 2 step equations. Two step equations have addition or subtraction and multiply or divide 3x + 1 = 10 3x + 1 = 10 4y + 2 = 10 4y + 2 = 10 2b +

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

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 Equations Integrated Math I. What is a Two-Step Equation? An equation that requires two steps to solve.

Single-Step Equations Addition/Subtraction Multiplication/Division Substitution Simplifying Expressions.

Solving Equations Using Addition and Subtraction A.4f Apply these skills to solve practical problems. A.4b Justify steps used in solving equations. Use.

SOLVING ONE-STEP EQUATIONS Integrated Math I Objective: Solve one-step linear equations in one variable with strategies involving inverse operations and.

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

Write, Interpret and Use Mathematical Expression and Equations.

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

2-3 Solving Equations Using Multiplication and Division

Solving Equations Using Multiplication and Division

Solving Equations A-REI.B.3:Solving equations with a variable on one side, using inverse operations.

Bell Ringer What value(s) of x make the sentence true? 7 + x = 12

Properties of Equality and Solving One-Step Equations

2-3 Solving Equations Using Multiplication and Division

Tuesday September 22, 2015 Algebra I.

Objective: To solve two-step variable equations

ONE STEP EQUATIONS.

ONE STEP EQUATIONS.

Solving 1-Step Integer Equations

Solving One-Step Equations

Solving Equations by 2-1 Adding or Subtracting Warm Up

Solving Algebraic Equations

Ch 2.2 One Step (Addition & Subtraction)

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

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

2-1 & 2-2: Solving One & Two Step Equations

One & Two Step Equations

Solving Linear Equations

Lesson 1.1 Objective: To solve equations using addition, subtraction, multiplication, and division Vocab: Inverse operations: Are operations that undo.

3.2 Multiplication Property of Equality

ONE STEP EQUATIONS WHAT?!?!.

ONE STEP EQUATIONS.

Solving Equations by 2-1 Adding or Subtracting Warm Up

ONE STEP EQUATIONS.

3.1 The Addition Property of Equality

Presentation transcript:

One & Two Step Equations INTEGRATED MATHEMATICS

Vocabulary Equation: A statement that the values of two mathematical expressions are equal Equation: A statement that the values of two mathematical expressions are equal Inverse Operations: Operations that undo one another Inverse Operations: Operations that undo one another

1) Separate the Equation 2) ISOLATE THE VARIABLE: Should It Stay or Should It Go (Variables on Left/Constants on Right) Should It Stay or Should It Go (Variables on Left/Constants on Right) Solving a One-Step Equation

Property of Equality You can add or subtract any number to BOTH sides of an equation and the equation will still hold true.

One-Step Equations with Addition/Subtraction Ex.1) x + 2 = 6Ex.2) a – 4 = 2

One-Step Equations with Addition/Subtraction Ex.4) z – 7 = 4Ex.3) 19 = y + 7

One-Step Equations with Addition/Subtraction Try These : 1) x + 4 = 10 2) y - 2 = 12 3) 15 = 23 + r 4) z = 2

Property of Equality You can multiply or divide BOTH sides of an equation by any number and the equation will still hold true.

An Easy Example: (don’t copy) We all know that 3 = 3. Does 3(4) = 3? NO! But 3(4) = 3(4). The equation is still true if we multiply both sides by 4. Would you ever put deodorant under just one arm? Would you ever put deodorant under just one arm? Would you ever put nail polish on just one hand? Would you ever put nail polish on just one hand? Would you ever wear just one sock? Would you ever wear just one sock?

One-Step Equations with Multiplication/Division Ex.5) -2x = 8Ex.6) 3y = 15

One-Step Equations with Multiplication/Division

 The two negatives will cancel each other out.  The two fives will cancel each other out. What Do We Do with Negative Fractions? Recall that Solve. Multiply both sides by -5.

One-Step Equations with Multiplication/Division Try These: 1) 25 = 5x 2) -4x = -12

Two-Step Equations 1) Separate the Equation 2) Should It Stay or Should It Go Addition/Subtraction Addition/Subtraction Multiplication/Division Multiplication/Division 3) Solve for Variable

Two-Step Equations Ex.9) Solve 5x + 7 = 3

Two-Step Equations Ex.12) Solve 11z + 8 = 30 Ex.11) Solve 4 = -6y - 20

Two-Step Equations

Try These: 1) 11x + 2 = 35 2) 8 = b 3) 2 = 5x – 8 4) -32 = 4t - 16