Evaluating Algebraic Expressions 1-9 Solving Two-Step Equations AF4.1 Solve two-step linear equations and inequalities in one variable over the rational.

Slides:



Advertisements
Similar presentations
2-2 Solving Two-Step Equations Warm Up Solve each equation x = 112. x – 7 = x = 154. Find a common denominator Possible answer:
Advertisements

Preview Warm Up California Standards Lesson Presentation.
Warm Up Lesson Presentation Lesson Quiz.
Evaluating Algebraic Expressions 3-8Solving Two-Step Inequalities Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson.
AF4.1 Solve two-step linear inequalities in one variable over the rational numbers, interpret the solution or solutions in the context from which they.
Chapter 3 Math Vocabulary
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.
WARM UP EVALUATING EXPRESSIONS Evaluate the expression for the given value of the variable. (Lesson 1.1) 1.(8)(x) when x = /x when x = 3 3.x + 15.
Lesson 2-1 Warm-Up.
Holt CA Course Solving Two-Step Equations Warm Up Warm Up California Standards Lesson Presentation Preview.
Warm Up Solve. 1. x + 12 = x = 120 = 7 4. –34 = y + 56 x = 23
Solve Systems of Linear Equations Using Elimination Honors Math – Grade 8.
Solving 2-Step Variable Equations
Solve each equation. Show your work and check the solution h – 2 = –6x = – = 8 + y.
Holt Algebra Solving Two-Step and Multi-Step Equations 2-3 Solving Two-Step and Multi-Step Equations Holt Algebra 1 Warm Up Warm Up Lesson Quiz Lesson.
AF4.0 Students solve simple linear equations and inequalities over the rational numbers. California Standards.
Evaluating Algebraic Expressions 1-7 Solving Equations by Adding or Subtracting Preparation for AF4.0 Students solve simple linear equations and inequalities.
Holt CA Course Solving Equations with Variables on Both Sides Preview of Algebra Students solve multistep problems, including word problems,
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 One-step Equations Algebraically. The goal of solving equations: -To get one x alone on one side of the equation. The rule for solving equations:
Holt CA Course Solving Two-Step Inequalities Preview of Grade 7 AF4.1 Solve two-step linear equations and inequalities in one variable over the.
Multi-Step Inequalities
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.
2-Step Equations What??? I just learned 1-step! Relax. You’ll use what you already know to solve 2-step equations.
Solving 2-Step Variable Equations. Two Step Equations Essential Question How are inverse operations used to solve two step equations? Why does order matter.
PRE-ALGEBRA. Lesson 7-1 Warm-Up PRE-ALGEBRA What is a two-step equation? How can you use a model to show how to solve a two-step equation? two-step equation:
Evaluating Algebraic Expressions 1-7 Solving Equations by Adding or Subtracting Warm Up Warm Up California Standards California Standards Lesson Presentation.
Evaluating Algebraic Expressions 2-7 One-Step Equations with Rational Numbers AF4.0 Students solve simple linear equations over the rational numbers. California.
Example 2 Multiple Choice Practice
Solving Two-Step and 3.1 Multi-Step Equations Warm Up
Solve Inequalities (pg ) Objective: TBAT solve inequalities by using the Addition and Subtraction Properties of Inequality.
Holt McDougal Algebra Solving Two-Step and Multi-Step Equations 1-4 Solving Two-Step and Multi-Step Equations Holt Algebra 1 Warm Up Warm Up Lesson.
Solve inequalities that contain more than one operation.
Solving 1-Step Equations 2 An Equation is Like a Balance.
$100 $200 $300 $400 $100 $200 $300 $400 $300 $200 $100 Writing variable equations Find variables in addition equations Find variables in subtraction.
#41. Solve each equation. 1: Solving Two-Step Equations x = 30.
ALGEBRA READINESS LESSON 9-5 Warm Up Lesson 9-5 Warm-Up.
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.
Warm Up Simplify each expression. 1.10c + c 2. 5m + 2(2m – 7) 11c 9m – 14.
Solving Two-Step and Multi-Step Equations Warm Up Lesson Presentation
Evaluating Algebraic Expressions 3-6 Solving Inequalities by Adding or Subtracting Warm Up Warm Up California Standards California Standards Lesson Presentation.
Evaluating Algebraic Expressions 3-8Solving Two-Step Inequalities Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson.
Preview Warm Up California Standards Lesson Presentation.
3. 3 Solving Equations Using Addition or Subtraction 3
Preview Warm Up California Standards Lesson Presentation.
Preview Warm Up California Standards Lesson Presentation.
Solving Two-Step Equations
Bell Ringer.
Warm up 11/1/ X ÷ 40.
Solving 1-Step Integer Equations
Objective Solve equations in one variable that contain more than one operation.
Solving Algebraic Equations
Objective Solve equations in one variable that contain variable terms on both sides.
EQ: How do I solve an equation in one variable?
Objective Solve one-step equations in one variable by using multiplication or division.
Objective Solve equations in one variable that contain more than one operation.
Example 1A: Solving Inequalities with Variables on Both Sides
Objective Solve inequalities that contain variable terms on both sides.
Objective Solve equations in one variable that contain variable terms on both sides.
Objective Solve one-step equations in one variable by using multiplication or division.
Objective Solve equations in one variable that contain more than one operation.
Objective Solve equations in one variable that contain more than one operation.
Ch. 1.3 Solving Linear Equations
Learning Objective Students will be able to: Solve equations in one variable that contain absolute-value expressions.
Math-7 NOTES What are Two-Step Equations??
Solving Linear Equations
Solving Equations by 2-1 Adding or Subtracting Warm Up
Involving One Operation
Presentation transcript:

Evaluating Algebraic Expressions 1-9 Solving Two-Step Equations AF4.1 Solve two-step linear equations and inequalities in one variable over the rational numbers, interpret the solution or solutions in the context from which they arose, and verify the reasonableness of the results. Also covered: AF1.1 California Standards

Evaluating Algebraic Expressions 1-9 Solving Two-Step Equations Two-step equations contain two operations. For example, the equation 6x  2 = 10 contains multiplication and subtraction. 6x  2 = 10 Subtraction Multiplication

Evaluating Algebraic Expressions 1-9 Solving Two-Step Equations Translate the sentence into an equation. Twice a number m increased by –4 is 0. Translating Sentences into Two-Step Equations Twice a number m increased by –4 is 0. 2 ● m + (–4) = 0 2m + (–4) = 0

Evaluating Algebraic Expressions 1-9 Solving Two-Step Equations Translate the sentence into an equation. 7 more than the product of 3 and a number t is more than the product of 3 and a number t is ● t + 7 = 16 3t + 7 = 16

Evaluating Algebraic Expressions 1-9 Solving Two-Step Equations Solve 3x + 4 = –11. Solving Two-Step Equations Using Division 3x + 4 = –11Step 1: Note that x is multiplied by 3. Then 4 is added. Work backward: Since 4 is added to 3x, subtract 4 from both sides. – 4 3x = –15 Step 2: 3x = – x = –5 Since x is multiplied by 3, divide both sides by 3 to undo the multiplication.

Evaluating Algebraic Expressions 1-9 Solving Two-Step Equations Solve 8 = –5y – 2. Solving Two-Step Equations Using Division 8 = –5y – 2 Since 2 is subtracted from –5y, add 2 to both sides to undo the subtraction = –5y –5–5 –5–5 –2 = y or Since y is multiplied by –5, divide both sides by –5 to undo the multiplication. y = –2

Evaluating Algebraic Expressions 1-9 Solving Two-Step Equations Solve 4 + = 9. Solving Two-Step Equations Using Multiplication Step 1: – 4 Step 2: m = 35 Since m is divided by 7, multiply both sides by 7 to undo the division. m7m7 4 + = 9 m7m7 = 5 m7m7 Note that m is divided by 7. Then 4 is added. Work backward: Since 4 is added to, subtract 4 from both sides. m7m7 (7) = 5(7) m7m7

Evaluating Algebraic Expressions 1-9 Solving Two-Step Equations Solve 14 = – 3. Solving Two-Step Equations Using Multiplication Step 1: + 3 Step 2: 34 = z z is divided by 2, multiply both sides by 2 to undo the division. z2z2 14 = – 3 z = z2z2 Since 3 is subtracted from t, add 3 to both sides to undo the subtraction. z2z2 (2)17 = (2) z2z2

Evaluating Algebraic Expressions 1-9 Solving Two-Step Equations Donna buys a portable DVD player that costs $120. She also buys several DVDs that cost $14 each. She spends a total of $204. How many DVDs does she buy? Consumer Math Application Let d represent the number of DVDs that Donna buys. That means Donna can spend $14d plus the cost of the DVD player. cost of DVD player cost of DVDs total cost += $12014d$204 +=

Evaluating Algebraic Expressions 1-9 Solving Two-Step Equations Donna buys a portable DVD player that costs $120. She also buys several DVDs that cost $14 each. She spends a total of $204. How many DVDs does she buy? Example Continued $12014d$204 += d = 204 –120 14d = d = 6Donna purchased 6 DVDs.

Evaluating Algebraic Expressions 1-9 Solving Two-Step Equations John buys an MP3 player that costs $249. He also buys several songs that cost $0.99 each. He spends a total of $ How many songs does he buy? Let s represent the number of songs that John buys. That means John can spend $0.99s plus the cost of the MP3 player. cost of MP3 player cost of songs total cost += $ s$ =

Evaluating Algebraic Expressions 1-9 Solving Two-Step Equations s = – s = s = 29John purchased 29 songs. John buys an MP3 player that costs $249. He also buys several songs that cost $0.99 each. He spends a total of $ How many songs does he buy? $ s$ = 0.99s =