8.6 Coin and Ticket Problems CA Standard 9.0CA Standard 9.0 Two Key TermsTwo Key Terms.

Slides:

Advertisements

Similar presentations

Substitution: Real- World Problems. Learning Target I CAN solve real- world problems leading to systems of linear equations.

Advertisements

Solving systems of equations with 2 variables Word problems (Coins)

Coin Problems Students will use Guess and Check Chart and Algebra to solve Coin Word Problems.

8.6 Coin, Ticket, and Weight Problems

Warm-Up 5 minutes Beth and Chris drove a total of 233 miles in 5.6 hours. Beth drove the first part of the trip and averaged 45 miles per hour. Chris drove.

Algebra 1 Coin Word Problems.

Digit and Coin Problems Systems of Equations Chapter 8.

#1 Sydney took a math test that had 32 questions on it and scored 111 points. Each correct answer was awarded 5 points and for each wrong answer two points.

A system of linear equations allows the relationship between two or more linear equations to be compared and analyzed Systems of Linear Equations.

A system of linear equations allows the relationship between two or more linear equations to be compared and analyzed. 5.1 – Systems of Linear Equations.

Do Now: Use elimination The sum of two numbers is 20. Their difference is 4. Find the numbers. Answer: 12 and 8 (11/3, 2/3)

2nd grade Math Lesson 2.MD.8. Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately.

Digit and Coin Problems

Lesson 4-2 Example Solve. MONEY Casey and Jerald each purchased a ticket to the movies at $6.45 each. They used a different combination of bills.

Linear System Word Problems

Chapter 5: Systems of Linear Equations Section 5.1: Solving Systems of Linear Equations by Graphing.

{ { { { WARM-UP Date: 3/10/09 Solve the system. 12x + 4y = -8

Lesson 5 MI/Vocab 1-4 Honors Algebra Warm-up Suppose there is a piggybank that contains 57 coins, which are only quarters and dimes. The total value of.

Sec. 9.3 Solving Problems with Two Variables

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 Solve each system using Elimination. 2x + 3y = 8 x – y = 2

Complete pg in Student Journal

Math Review Show each amount using the fewest number of coins. 98¢ pennies nickels dimes quarters 1.

Jeopardy Motion Problems Mixture Problems Coin Problems Cost Problems Perimeter Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400.

Chapter 3 – Systems of Linear Equations – Solving Systems of Equations Word Problems.

Algebra Chapter 4 Quiz Review.

Using Linear Systems to Solve Application Problems:  1. Define the variables. There will be two unknown values that you are trying to find. Give each.

– Problem Solving Objectives:

Counting Coins. The Basics Quarter 25 cents Dime 10 cents.

Let’s Learn About Money!

 You are selling tickets for a high school basketball game. Student tickets cost $3 and general admission tickets cost $5. You sell 350 tickets and collect.

Name the United States Coins Count the Pennies 10 ¢

Equations and Problem Solving

Money Equations Challenge yourself. Challenge 1 Matt keeps quarters, nickels, and dimes in his change jar. He has a total of 52 coins. He has three more.

Warm-Up: Put the following equations into y= mx + b form: a) 2y + 14x = 6b) -3y – 4x – 15 = 0.

Warm-Up 5 minutes 1) On the coordinate plane, graph two lines that will never intersect. 2) On the coordinate plane, graph two lines that intersect at.

8.6 Coin, Ticket, Weight, and Digit Problems. Pattern Set up two equations One equation is a physical amount that you can count with two different categories.

Applications of Cost Example: The admission price to a basketball game at Southridge High School is $4 for children and $7 for adults. If 600 tickets were.

8-6 Digit and Coins Problems Warm-up Problems 1.If a car travels at a constant speed of 30 miles per hour, how long will it take to travel 96 miles. 2.Zeb.

Solving Linear Systems Algebraically with Substitution Section 3-2 Pages

8-6 Digit and Value (Money)

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

Coins Quandary Teacher Notes Vocabulary: system of equations Prepare 1 box (or envelope) per student. Supplies: pennies & nickels boxes or containers that.

Solving Systems Using Elimination (For help, go to Lesson 7-2.) Solve each system using substitution. 1.y = 4x – 32.y + 5x = 4 3. y = –2x + 2 y = 2x +

Car model A cost $22,000 to purchase and $.12 per mile to maintain. Car model B costs $24,500 to purchase and $.10 per mile to maintain. How many miles.

Unit 3 WORD PROBLEMS WITH LINEAR SYSTEMS. TWO IMPORTANT QUESTIONS 1.What are my two variables? 2.How are they related?

Solving Linear Systems Algebraically Section 3-2 Solving Linear Systems Algebraically.

Warm-Up Dave bought 7 tacos and 3 burritos for $36. For the same price he could have bought 2 tacos and 6 burritos. How much do both tacos and burritos.

7.2 Solving Linear Systems by Substitution. Steps: 1. Solve one of the equations for one of the variables. 2.Substitute that expression into the other.

Algebra Review. Systems of Equations Review: Substitution Linear Combination 2 Methods to Solve:

Applications of Systems of Equations. Three Steps to solving applications  Step 1: NAME YOUR VARIABLES!! What are you looking for and what are you going.

5.4 Elimination Using Multiplication Algebra 1 Objective: Each student will understand if addition and subtraction does not eliminate a variable – how.

8-6 Digit and Coin Problems Steve Blaylock Lakota Schools

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:

Objectives: 1.Be able to write equations of application problems. 2.Be able to solve applications using substitution or elimination. Critical Vocabulary:

6.3 Solving Systems of Linear Equations by the Addition Method

Solve the following word problem.

MATH 1311 Section 3.5.

Equations and Problem Solving

$ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $

MATH 1311 Section 3.5.

Mixed Practice Bonus.

Name the United States Coins

Algebra 1 Section 2.8.

Warm Up Solve for 3x + 2(x – 1), when x = 3

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

6-3 Solving Systems Using Elimination (Combination)

Question A: In a game, the two players scored a total of 121 points

Section 8.4 Chapter 8 Systems of Linear Equations in Two Variables

Presentation transcript:

8.6 Coin and Ticket Problems CA Standard 9.0CA Standard 9.0 Two Key TermsTwo Key Terms

CA Standard 9.0 Applying CA 9.0: Solve a system of two linear equations in two variables algebraically. Applying CA 9.0: Solve a system of two linear equations in two variables algebraically.

Calvin paid his $1.35 skate rental with dimes and nickels only. There were 19 coins in all. How many of each coin were there? Let d = the # of dimes Let n = the # of nickels #1 Coin Problems

8 dimes 11 nickels

On a table there are 20 coins, some are quarters and some are dimes. Their value is $3.05. How many of each is there? Let q = the # of quarters Let d = the # of dimes #2 Coin Problems

7 Quarters 13 Dimes

There were 166 paid admissions to a game. The price was $2 for adults and $0.75 for children. The amount taken in was $ How many adults and how many children attended? Let a = the # of adults attending Let c = the # of children attending #3 Ticket Problems

135 adults 31 children