Finding Consecutive Integers Given a Sum
17 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What type of problems are covered on page 229 of the Math 9 Assignment?

Consecutive Integer Problems

Which page of the Math 9 Assignment includes Translating problems?

Page 224

What topic is addressed on page 3 of the Math 9 Assignment?

Answers

What is the main focus of the Math 9 Assignment on page 1 of 3?

<p>Translating</p> Signup and view all the answers

What type of problems can be found on page 2 of the Math 9 Assignment?

<p>Consecutive Integer Problems</p> Signup and view all the answers

Translate the following statement into an equation: 'Find three consecutive integers.'

<p>x + (x+1) + (x+2)</p> Signup and view all the answers

If the sum of two consecutive integers is 45, what are the integers?

<p>22, 23</p> Signup and view all the answers

Find three consecutive integers if the total of the first and the third integer is 66.

<p>21, 22, 23</p> Signup and view all the answers

Determine four consecutive even integers if their sum is 100.

<p>22, 24, 26, 28</p> Signup and view all the answers

Find two consecutive odd integers if their sum is 48.

<p>23, 25</p> Signup and view all the answers

Solve the following word problem: 'The sum of five consecutive integers is 115. What are the integers?'

<p>21, 22, 23, 24, 25</p> Signup and view all the answers

If we need to find four consecutive integers whose sum is 250, how can we represent this mathematically?

<p>x + (x + 1) + (x + 2) + (x + 3) = 250</p> Signup and view all the answers

What is the first step to find consecutive integers given a sum?

<p>Identify the sum of the consecutive integers.</p> Signup and view all the answers

When finding consecutive integers given a total, what is the equation we typically set up?

<p>x + (x + 1) + (x + 2) = Total</p> Signup and view all the answers

How can we find three consecutive integers within the range 40 to 50?

<p>Divide the range by the difference between consecutive integers and add 1 to find the first integer.</p> Signup and view all the answers

Applying consecutive integer concepts, if you have 5 consecutive integers and the third integer is 20, what would the fifth integer be?

<p>24</p> Signup and view all the answers

In a real-life scenario, if 6 friends go to a movie and each ticket costs $15, how can we represent the total cost using consecutive integers?

<p>6x = Total Cost</p> Signup and view all the answers

Study Notes

Page 229 Problems

  • Page 229 covers problems related to finding consecutive integers

Translating Problems Page

  • Page 2 of the Math 9 assignment covers Translating problems

Page 3 Topic

  • Page 3 of the Math 9 Assignment deals with finding consecutive integers within a specified range.

Page 1 Focus

  • Page 1 of the Math 9 Assignment focuses on understanding the concept of consecutive integers and setting up equations for word problems.

Page 2 Problems

  • Page 2 of the Math 9 Assignment focuses on solving for consecutive integers given a sum.

Translating Statement to Equation

  • The equation for "Find three consecutive integers" is: x + (x + 1) + (x + 2)

Consecutive Integers Sum of 45

  • The two consecutive integers that sum to 45 are 22 and 23.

Consecutive Integers Sum of First and Third

  • The three consecutive integers where the first and third sum to 66 are 32, 33, and 34.

Consecutive Even Integers Sum of 100

  • The four consecutive even integers that sum to 100 are 22, 24, 26, and 28.

Two Consecutive Odd Integers Sum of 48

  • The two consecutive odd integers that sum to 48 are 23 and 25.

Movie Ticket Cost

  • The total cost of 6 movie tickets at $15 each can be represented as 15 + 15 + 15 + 15 + 15 + 15 or 6 * 15. This can be expressed using consecutive integers as: x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) where x = 15.

Consecutive Integer Sum of 115

  • The five consecutive integers that sum to 115 are 21, 22, 23, 24, and 25.

Four Consecutive Integers Sum of 250

  • The equation to represent four consecutive integers whose sum is 250 is: x + (x + 1) + (x + 2) + (x + 3) = 250

Finding Consecutive Integers

  • The first step to find consecutive integers given a sum is to represent the integers algebraically using variables.

Equation for Consecutive Integer Sum

  • The equation we typically set up when finding consecutive integers given their sum is: x + (x + 1) + (x + 2) + ... = total sum.

Three Consecutive Integers Within a Range

  • To find three consecutive integers within the range 40 to 50, we would use trial and error, starting with the smallest possible value and checking if the sum of three consecutive integers equals the given total.

Fifth Integer Given Third Integer

  • If the third integer in a sequence of five consecutive integers is 20, the fifth integer would be 22.

Representing Total Cost with Consecutive Integers

  • The total cost of 6 movie tickets can be represented using consecutive integers by expressing the cost of each ticket as a variable (e.g., x), and then adding the cost of each ticket, starting with x and increasing by one for each subsequent ticket.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Description

Learn how to find consecutive integers given a sum by following specific steps. An example is provided to help understand the process.

More Like This

Consecutive Integers Quiz
5 questions

Consecutive Integers Quiz

ConscientiousAntigorite442 avatar
ConscientiousAntigorite442
Algebra: Consecutive Integers Problem
5 questions
Mathematics Quiz: Consumption & Integers
5 questions
Use Quizgecko on...
Browser
Browser