Creating and Solving Equations

Slides:

Advertisements

Similar presentations

1 Lesson Applications of Equations Applications of Equations.

Advertisements

CCGPS Coordinate Algebra EOCT Review Units 1 and 2.

CCGPS Coordinate Algebra EOCT Review Units 1 and 2.

Prerequisite Skills VOCABULARY CHECK Copy and complete using a review word from the list; perimeter, distributive property, like terms, inequality, reciprocal.

MFM1P Learning Goals: I can solve equations when there are variables on both sides. Lesson 3: Solving Equations Part 3.

Using Numerical and Algebraic Expressions and Equations Return to table of contents.

FCAT Review Students will write, interpret, and use mathematical expressions and equations.

Copyright © 2005 Pearson Education, Inc. Solving Linear Equations 1.4.

Handout Solve the following applications. Draw a table or diagram when necessary.

Chapter 1 Equations and Inequalities Copyright © 2014, 2010, 2007 Pearson Education, Inc Models and Applications.

9 Weeks Test Review 8 TH GRADE. Simplify…if possible3  3 y + 2 y + y y.

Use properties of real numbers to write the expression 5( x + q ) without parentheses. Select the correct answer

SOLVE THE FOLLOWING INEQUALITIES AND GRAPH THEM. SHOW ALL WORK. Solving and Graphing Inequalities.

JEOPAR DY Shaw’s Grade 9 Equations and Inequalities.

PERIMETER AND SOLUTION PROBLEMS ASSIGNMENT. 1. What is the perimeter of the below shape? 10 – 5n 12n+2 15n - 5.

Purpose: Making equations and solving word problems. Homework: p – 29 odd.

Graphing Systems of Equations and Inequalities January 9, 2013.

Solving and Graphing Inequalities CHAPTER 6 REVIEW.

Chapter 1 Review Game Ms. LaPorte Algebra Honors.

6.3 Systems with a Vengeance!! Alg Con. 1. One number is 6 less than five times another. Their difference is 22. Find the numbers. Answer : One number.

Final Fantasy! ExponentsPolynomialsSystemsReal-Life Problems Grab Bag

Warm-up 1. Solve the following system of equations by graphing: 3x – y = -3 y – 3x = Determine the solution type from the following system of equations:

Objective - To solve multi-step variable equations including word problems. Chapter 2-2September 24, 2008 Solving Multi-Step Equations.

1: (A.1)(B) 1. Steven made a table showing the amount of money he earned, y, based on the number of fruitcakes he sold at a bake sale, x. Which equation.

3.4 – Geometric problems – 5 step approach (p200)

Section 11.1: Solving Linear Systems by Graphing

If you build it, they will come

Homework: P /21-39 odd,

Warm Up Represent each statement as a mathematical expression using variables: (copy each “phrase” into your notebook) Five more than a number Three times.

Do Now Solve the equations for the variable. -6(-p + 8) = -6p (-7 – x) = 36 + (1 + 7x)

Solving Equations with Variables on Both Sides

Section 5.1: Multipliying Polynomial Expressions by Monomials

Ratios, Proportions, & Geometric Mean

Word Problems Involving Triangle.

Section 9.1: Solving Equations by Taking Square Roots

Section 12.1: Creating Linear Systems

Homework # 10 – Word Problems

Warm Up 5x + 12 = -13 -x – 4 = 9 The junior class is selling granola bars to raise money. They purchased 1250 granola bars and paid a delivery fee of.

Section 12.3: Modeling with Linear SYstems

Section 21.2: AAS Triangle Congruence

Section 5.5 Solving Absolute Value Equations and Inequalities

Section 13.3: Solving Absolute Value Equations

Warm up Interpret the following: “The quotient of a number cubed and twelve plus twice a different number” Solve for “m”: 22 = 5m + 7.

Section 11.2: Solving Linear Systems by Substitution

Creating and Solving Inequalities

Equations Test Review Grade 8.

Name__________________________

Section 20.1: Exploring What Makes Triangles Congruent

Section 5.1 Solving inequalities

Warm up Interpret the following: “The quotient of a number cubed and twelve plus twice a different number” Solve for “m”: 22 = 5m + 7.

Chapter 5 Section 3 Solving Linear Equations with Fractions and Decimals by Clearing the Denominators.

Section 6.4 Applications of Linear Equations in One Variable

Solve Systems of Linear Inequalities

Modeling with Functions

Warm up Interpret the following: “The quotient of a number cubed and twelve plus twice a different number” Solve for “m”: 22 = 5m + 7.

3.3: Systems of Inequalities A goal without a plan is just a wish.

Section 2.2: Solving Absolute Value Equations

Modeling with Arithmetic Sequences

Match the written description to an equation.

3.3 – solving Inequalities (multi-step)

Using Functions to Solve One-Variable Equations

Section 6.1 Slope Intercept Form.

Section 6.4 Applications of Linear Equations in One Variable

Your First Do Now 7x + 3y – 12t – 10

Section 12.2: Graphing Systems of LInear Inequalities

POSITIVE You can collect variables on either side …

Section 2.3: Solving Absolute Value Inequalities

Bellwork August Write an equation or inequality to model the situation. 1) The number of hours you worked this week plus the 20 hours you worked.

Agenda for the Week Wednesday and Thursday: Create and Solve Equations

Section 6.4 Applications of Linear Equations in One Variable

Presentation transcript:

Creating and Solving Equations Section 2.2 Creating and Solving Equations

Objective By following instructions students will be able to: Create equations and inequalities in one variable including ones with absolute value and use them to solve problems.

Explore A: Interpreting Parts of an Expression Suppose Lauren and her friend Chris go to a movie. Each of their tickets costs the same amount, and they share a frozen yogurt that costs $5.50. The total amount they spend is $19.90. How can you write an equation that describes the situation?

Explain 1A Rose and Mia are bowling. Mia’s score is twice the difference of Rose’s score and 5. The sum of their scores is 320. Find each student’s bowling score.

Explain 1B Mari, Carlos, and Amanda collect stamps. Carlos has five more stamps that Mari, and Amanda has three times as many stamps as Carlos. Altogether, they have 100 stamps. Find the number of stamps each person has.

Your-Turn #1 Would a fractional answer makes sense in Explain 1B? A rectangular garden is fenced on all sides with 256 feet of fencing. The garden is 8 feet longer than it is wide. Find the length and width of the garden.

Explain 2A Janine has job offers at two companies. One company offers a starting salary of $28,000 with a raise of $3000 each year. The other company offers a starting salary of $36,000 with a raise of $2000 each year. In how many years would Janine’s salary be the same with both companies? What will the salary be?

Explain 2B One moving company charges $800 plus $16 per hour. Another moving company charges $720 plus $21 per hour. At what numbers of hours will the charge by both companies be the same? What is the charge?

Your-Turn #2 In explain 2B, suppose you collected the variable terms on the other side of the equal sign to solve the equation. Would that affect the solution? Claire bought just enough fencing to enclose either a rectangular garden or a triangular garden, as shown. The two gardens have the same perimeter. How many feet of fencing did she buy?

Explain 3 Kim works 4 hours more each day than Jill does, and Jack works 2 hours less each day than Jill does. Over 2 days, the number of hours Kim works is equal to the difference of 4 times the number of hours Jack works and the number of hours Jill works. How many hours does each person work each day?

Your-Turn #3 Lisa is 10 cm taller than her friend Ian. Ian is 14 cm taller than Jim. Every month, their heights increase by 2 cm. In 7 months, the sum of Ian’s and Jim’s heights will be 170 cm more than Lisa’s height. How tall is Ian now?

Revisit Objective Did we… Create equations and inequalities in one variable including ones with absolute value and use them to solve problems?

Homework HW: Day 1: pg 52 #s 1-9, 11, 14-19, 21, 23, 24