Writing Inequalities.

Slides:

Advertisements

Similar presentations

The PTSO of West-East HS were selling tickets for the game against their rival, North-South HS. The PTSO received a $1500 donation from a booster and adult.

Advertisements

Unit 2: Solving Systems of Equations

5.2 Solving Systems of Linear Equations by Substitution

5.6 – Graphing Inequalities in Two Variables. Ex. 1 From the set {(1,6),(3,0),(2,2),(4,3)}, which ordered pairs are part of the solution set for 3x +

A-REI Represent and solve equations and inequalities graphically

3.5 Word Problems. The sum of two numbers is 97. The second number is 11 less than the first. Find the numbers. Let x = the first number Let y = the second.

Do Now: 1/28/13 James earns a daily salary of $115, plus a monthly bonus of $100. Alan is paid according to the equation y = 110x +125, where y is the.

Warm up 8/25 Find the intercepts of each line 1. 3x + 2y = 18 (0, 9), (6, 0) 2. Find the equation of the linear function and graph 3. State whether the.

Warm Up Sept. 20 Sit in your usual seat with your tracking sheet out. Answer the following questions. 1.How did you feel about the test yesterday? What.

A linear inequality in two variables relates two variables using an inequality symbol. Example: y > 2x – 4. Its graph is a region of the coordinate plane.

Section 4.5 Graphing Systems of Linear Inequalities in Two Variables.

More Word Problems with Inequalities

Objective: Solving systems of equations using elimination method. Warm up 1. The admission fee at a small fair is $1.50 for children and $4.00 for adults.

Do Now “A Taylor-Made Star” (TFK 12/19/14) 1)Taylor Swift’s new album, 1989, sold almost 1.3 million copies the first week it was out. Write in standard.

Lesson 89 Value Problems. Example 89.1 Airline fares for flights from Tifton to Adel are $30 for first class and $25 for tourist class. If a flight had.

Do Now Two hamburgers and three cokes cost $ Four hamburgers and four cokes cost $ Find the cost of one hamburger and one coke.

Unit 4 Post Test Review Game. What are the 3 ways to represent a direct variation?

1.Bobbie sold snacks for a fund raiser. He sold 18 cheese crunchies at 59  each. Half of the total amount sold was nutty buddy cookies. Bobbie’s aunt.

Chapter 4 Review. Choose a solution that satisfies each inequality.

Solving Inequalities with Multiplication and Division.

Section 4.5 Graphing Systems of Linear Inequalities in Two Variables.

Goal 4.03: Applications of Systems with Inequalities and Equations.

I can graph linear inequalities on the coordinate plane

Linear Applications: Standard Form. Read the problem carefully. Define the variables. Write the equation in standard form. Solve for the x-intercept by.

Regents Review #4 Inequalities and Systems. Simple Inequalities 1)Solve inequalities like you would solve an equation (use inverse operations and properties.

CHAPTER THREE REVIEW. QUESTION ONE SOLVE THE SYSTEM.

Summer Assignment Review Slope Triangle and Choosing an Appropriate Linear Form.

Graphing a System of Two Inequalities Graph the system of linear inequalities. Solid line Dotted line.

Lesson 7-6 Notes Over 7-6Graphing a System of Two Inequalities Graph the system of linear inequalities. Solid line Dotted line.

Solving Problems using Tables and Graphs Chapter 4.

Writing Two-Step Inequalities

Unit 4: Lesson 7 Solving Inequalities. I can solve word problems leading to inequalities that compare px + q and r, where p, q, and r are specific rational.

You Will Be Able To: Write and Solve Systems Word Problems.

Name: ____________________________ Date: ____________ Section: _____ Inequalities in Word Problems Equations: __________________________________________.

2.9 – Weighted Averages.

Warm – Up 8/29/14 At a fund raiser, you are selling shirts and hats. Shirts cost $10 and hats cost $6. You sell a total of 52 items and make $448.

Ways to Prevent Injuries Away from Home

Ways to Prevent Injuries Away from Home

Exercises Which reasoning process is shown? Explain your answer.

1. Is –9 a solution of a + 7 = –2? ANSWER yes

Pancake Breakfast 2017 Sales Goals & Requirements

Determine the factors and product shown in the area model.

BRAIN BLITZ/Warm-UP Short Answer:

Mathematical Problem-Solving

Ways to Prevent Injuries Away from Home

5.2 Solving Systems of Linear Equations by Substitution

Bell Ringer Monday, April 3

Lesson 3.3: Modeling with Functions

Before: Solve the following inequalities..

Unit 3. Day 15..

Mr. Smith has a maximum of $50 to spend at a museum

Use normal algebra skills and bring down inequality symbol

WARM UP X + 2 < 4 -3x + 7 ≥ 2x 4x – 6x + 45 ≤ 2 56 – 3a > 4

Unit 1 – Linear Programming

White Plains Water Park

You need: Pencil Agenda Scrap Paper AP log

7.6 Systems of Linear Inequalities Word Problems

Day 8 Quiz and Inequalities

Warm Up Lesson Presentation Lesson Quiz

Saving at a depository institution Choosing Savings Tools

Writing, Graphing, and Solving

MATH 2311 Section 6.3.

Warm Up Find the intercepts of each line. 1. 3x + 2y = 18

Unit 1 – Section 9 “Applications of Systems of Equations”

Day 9 Inequalities.

Ways to Prevent Injuries Away from Home

Warm Up 3.2 You have a jar of quarters and nickels. You have 36 more quarters than nickels. If you have $12.00, how many quarters and how many nickels.

Presentation transcript:

Writing Inequalities

Examples & Explanations A theme park has a log ride that can hold 12 people. They also have a weight limit of 1500 lbs per log for safety reasons. If the average adult weighs 150 lbs, the average child weighs 100 lbs and the log itself weighs 200, the ride can operate safely if the inequality is satisfied. There are several groups of children of differing numbers waiting to ride. Group one has 4 children, group two has 3 children, group three has 9 children while group four has 6 children. If 4 adults are already seated in the log, which groups of children can safely ride with them? James 2

Examples & Explanations For group 1: 4 adults are already seated in the log Group one has 4 children write an inequality James 3

Examples & Explanations For group 1: 4 adults are already seated in the log Group one has 4 children write an inequality ? James 4

Examples & Explanations For group 1: 4 adults are already seated in the log Group one has 4 children write an inequality ? James 5

Examples & Explanations For group 1: 4 adults are already seated in the log Group one has 4 children write an inequality Yes ? James 6

Examples & Explanations For group 1: Yes For group 2: 4 adults are already seated in the log Group two has 3 children write an inequality James 7

Examples & Explanations For group 1: Yes For group 2: 4 adults are already seated in the log Group two has 3 children write an inequality ? James 8

Examples & Explanations For group 1: Yes For group 2: 4 adults are already seated in the log Group two has 3 children write an inequality ? James 9

Examples & Explanations For group 1: Yes For group 2: Yes ? James 10

Examples & Explanations For group 1: Yes For group 2: Yes For group 3: 4 adults are already seated in the log Group Three has 9 children write an inequality James 11

Examples & Explanations For group 1: Yes For group 2: Yes For group 3: 4 adults are already seated in the log Group Three has 9 children write an inequality James ? 12

Examples & Explanations For group 1: Yes For group 2: Yes For group 3: 4 adults are already seated in the log Group Three has 9 children write an inequality James ? 13

Examples & Explanations For group 1: Yes For group 2: Yes For group 3: No ? James 14

Examples & Explanations For group 1: Yes For group 2: Yes For group 3: No For group 4: 4 adults are already seated in the log Group four has 6 children write an inequality James 15

Examples & Explanations For group 1: Yes For group 2: Yes For group 3: No For group 4: 4 adults are already seated in the log Group four has 6 children write an inequality James ? 16

Examples & Explanations For group 1: Yes For group 2: Yes For group 3: No For group 4: 4 adults are already seated in the log Group four has 6 children write an inequality James ? 17

Examples & Explanations For group 1: Yes For group 2: Yes For group 3: No For group 4: Yes ? James 18

Examples & Explanations For group 1: Yes For group 2: Yes For group 3: No For group 4: Yes James 19

Example #2 Each member of the youth group needs to raise at least $200 for their summer camp. They have two fund raisers: a pancake breakfast and a ham sale. For each ticket sold for the pancake breakfast, the youth member gets $4 in their account. For each ham sold, they get $12 in their account. Write an inequality for this situation

Example #2 Each member of the youth group needs to raise at least $200 for their summer camp. For each ticket sold for the pancake breakfast, the youth member gets $4 in their account. For each ham sold, they get $12 in their account.

Example #2a Jaden sells 20 tickets and 10 hams. Has she earned enough to attend camp?

Example #2a Jaden sells 20 tickets and 10 hams. Has she earned enough to attend camp? ?

Example #2a Jaden sells 20 tickets and 10 hams. Has she earned enough to attend camp? ? ?

Example #2a Jaden sells 20 tickets and 10 hams. Has she earned enough to attend camp? ? ? YES!!!

Example #2b Kate sold 15 tickets and 8 hams. Has she earned enough to attend camp?

Example #2b Kate sold 15 tickets and 8 hams. Has she earned enough to attend camp? ?

Example #2b Kate sold 15 tickets and 8 hams. Has she earned enough to attend camp? ? ?

Example #2b Kate sold 15 tickets and 8 hams. Has she earned enough to attend camp? ? ? no

Example #2c Bailey sold 30 tickets and 6 hams. Does she have enough to attend camp?

Example #2c Bailey sold 30 tickets and 6 hams. Does she have enough to attend camp? ?

Example #2c Bailey sold 30 tickets and 6 hams. Does she have enough to attend camp? ? ?

Example #2c Bailey sold 30 tickets and 6 hams. Does she have enough to attend camp? ? ? no