Solving Two-Step Equations. When solving algebraic equations our main goal is to get the variable (letter) by itself. Step One: use inverse operations.

Slides:

Advertisements

Similar presentations

Solving Two-Step Equations

Advertisements

Intro To Algebra By: Carolyn Barone.

Student Learning Goal Chart Chapter 10 Pre-Algebra Learning Goal Students will understand solving linear equations and inequalities.

 Lesson Objective: NCSCOS 4.01 Use linear functions to model and solve problems; justify results.  Students will know how to write an equation from.

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.

Equations Ex. 1) 3(2x + 5) = Distribution 6x + 15 = -9 – 15 6x = x = Subtract 15 from both sides. 3. Divide both sides by 6.

California Standards AF4.1 Solve two-step linear equations and inequalities in one variable over the rational numbers, interpret the solution or solutions.

 SWBAT solve two-step algebraic equations.  Two-Step Equations are equations that require two- steps to solve.  You will ADD or SUBTRACT and then.

Solving Two-Step Equations

12-1 Solving Two-Step Equations Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

TOPIC 2 FOUNDATIONS OF ALGEBRAIC PROBLEM SOLVING

Holt CA Course Solving Two-Step Equations Warm Up Warm Up California Standards Lesson Presentation Preview.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Warm Up Solve. 1. x + 12 = x = 120 = 7 4. –34 = y + 56 x = 23

HW # 25- p. 100 # all BRING AN EGG CARTON Warm up Week 7, Day One Solve. a)Y = -49d) - h = b) 4.7m = c) k-3.2 = -6.8.

Chapter 7 Lesson 1 Solving Equations with Variables on Each Side pgs What you will learn: Solve equations with variables on each side What you.

3.5 – Solving Systems of Equations in Three Variables.

Solve Equations With Variables on Both Sides

Solving Equations Using Multiplication and Division Algebra 1 Section 3.2a.

Section 3.4: Solving Equations with Variables on Both Sides Algebra 1 Ms. Mayer.

Solving Equations with One and Two Steps.

Solving Algebraic Equations Equation: = 5 Solving Algebraic Equations Equation: = = 2 2 = 2.

Let Me See You 1-2 Step Two-Step Algebraic Equations.

Holt Algebra Solving Two-Step and Multi-Step Equations Multi-step Equations.

Warm Up Solve. 1. x – 17 = y + 11 = = x = 108

2-8 Solving Two-Step Equations Warm Up Solve. 1. x + 12 = x = = 7 4. –34 = y + 56 x = 23 x = 15 y = 63 y = –90 y9y9 Lesson 23.

Solving Equations Medina1 Multi-Step Equations. Steps to solve Medina2 3. Use inverse of addition or subtraction You may not have to do all the steps.

Solving Two-Step Equations. Algebra Tiles Variable Zero Pairs.

Solve Multi-Step Equations

Two Step equations. Understand The Problem EX: Chris’s landscaping bill is 380$. The plants cost 212$,and the labor cost 48$ per hour. Total bill = plants.

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.

Algebra Review “Solving Equations” September 20 th 2010.

 Solve the following…  6 = x + 2  4 = q + 13  23 = b - 19  5b = 145  -7y = 28  2/3q = 18  1/5x = 2/7.

Additional Example 1: Using Inverse Operations to Group Terms with Variables Group the terms with variables on one side of the equal sign, and simplify.

Solving Two-step Equations Algebraically. Ex. 1) 2x + 1 = 7 With algebra tiles Algebraically 2x + 1 = x = 3 2x + 1 = 7 X = 3 2x = 6 2 Take away,

11-1 Solving Two-Step Equations When you solve equations that have one operation, you use an inverse operation to isolate the variable. n + 7 = 15 – 7.

Objective: Solve equations that involve more than one operation. 7-2 Solving Two-Step Equations.

Solving Two-Step Equations What IS A TWO STEP EQUATIONS? What you do to one side of the equation must also be done to the other side to keep it balanced.

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.

Holt Algebra Solving Two-Step and Multi-Step Equations Solve equations in one variable that contain more than one operation. Objective.

ALGEBRA TILES SOLVING EQUATIONS Replace the equation with tiles: Negative Positive -X X 1.

2.3 Solve two-step equations You will solve two-step equations Essential question: How do you solve two-step equations?

$100 $200 $300 $400 $100 $200 $300 $400 $300 $200 $100 Writing variable equations Find variables in addition equations Find variables in subtraction.

Solve Equations With Variables on Both Sides. Steps to Solve Equations with Variables on Both Sides  1) Do distributive property  2) Combine like terms.

2.5 Solving Two-Step Equations I can solve two-step equations by using inverse operations.

11-1 Solving Two-Step Equations Do Now 1. 9b + 8 = –10 = c Solve the equation. Check you answer y – 3 = x = -16 b = 8 x.

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 +

Evaluating Algebraic Expressions 2-8 Two-Step Equations with Rational Numbers AF4.1 Solve two-step linear equations in one variable over the rational numbers.

6-2 Solving Systems Using Substitution Hubarth Algebra.

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

Equations and Expressions with Integers SWBAT evaluate algebraic expressions involving integers; solve equations using integers.

3.2 SOLVING ONE-STEP EQUATIONS MULTIPLICATION AND DIVISION Objective: Solve one step equations using multiplication and division. Objective: Solve one.

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

Solving Two-Step Equations

Homework # 9 – Word Problems

Solving Two step equations

Solving Two-Step Equations

Lesson 7.3 Solve Linear Systems by Adding or Subtracting

6-2 Solving Systems Using Substitution

Solving Two Step Equations 11-1

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Do Now b = 8 x = -4 c = -5 y = 3 Solve the equation. Check you answer.

Learn to solve 2-step equations

Solving Two Step Algebraic Equations

Solving basic equations

Algebra Review “Solving Equations”

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Solving literal equations

Presentation transcript:

Solving Two-Step Equations

When solving algebraic equations our main goal is to get the variable (letter) by itself. Step One: use inverse operations to move the number that is NOT attached to the letter. Step Two: use inverse operations to move the number that IS attached to the letter.

Ex. 1: Solve 4x – 5 = 15 4x – 5 = (Add 5 to both sides) 4x = (Divide both sides by 4) x = 5

Ex. 2: Solve 5n – 18 = -33 5n – 18 = (Add 18 to both sides) 5n = (Divide both sides by 5) n = -3

Ex. 3: Solve 5h + 3 = 18 5h + 3 = (Subtract 3 from both sides) 5h = (Divide both sides by 5) h = 3

Ex. 4: Solve 4m + 12 = 52 4m + 12 = (Subtract 12 from both sides) 4m = (Divide both sides by 4) m = 10

Try These Examples 1.2x – 5 = y + 7 = n – 2 = 38 x = 11 y = 6 n = 8

Ex. 5: Solve x + 4 = 9 3 x = (Subtract 4 from both sides) x 3 = 5 x 3 = (Mult. by 3 on both sides) x = 15

Ex. 6: Solve r + 1 = 6 4 r = (Subtract 1 from both sides) r 4 = 5 r 4 = (Mult. by 4 on both sides) r = 20

Ex. 7: Solve m + 1 = M = (Subtract 1 from both sides) m -11 = -11 m -11 = (Mult. by -11 on both sides) m = 121

Try these examples! 1.x – 3 = c + 4 = r – 6 = 2 3 x = 55 c = 35 r = 24

Equations and Word Problems Jennifer has $22.75 in her bank. She saves quarters and half dollars. She has $10.50in half dollars. How many quarters does she have?

Equations and Word Problems On a trip, a family drove an average of 250 miles each day. If the family drove a total of 3,000 miles on their trip, how many days were they gone?

Equations and Word Problems A jacket costs $28 more than twice the cost of a pair of slacks. If the jacket costs $152, how much so the slacks cost?

Equations and Word Problems The monthly fee for cable is $25 plus $4.50 per movie channel. Tamara paid $56.50 in May for her cable bill. How many movie channels did he get?

Equations and Word Problems A garage charged $248 in parts and $30 per hour in labor for working on a car. How many hours did the garage spend working on the car if the total bill was $572?

Equations and Word Problems The monthly fee for cable is $25 plus $4.50 per movie channel. Tamara paid $56.50 in May for her cable bill. How many movie channels did he get?