CONSECUTIVE INTEGERS. CONSECUTIVE INTEGERS - Consecutive integers are integers that follow each other in order. They have a difference of 1 between each.

Slides:



Advertisements
Similar presentations
Consecutive Integers Consecutive Integers are integers that follow one after another. Example 1: are consecutive integers.
Advertisements

8.5 Factoring x 2 + bx + c. Factoring with Positives x 2 + 3x + 2 ◦Find two factors of 2 whose sum is 3. ◦Helps to make a list (x + 1)(x + 2) Factors.
May 3, 2011 Write your homework in your agenda:
9.2 Arithmetic Sequences and Partial Sums
2 – 7 Problem Solving: Consecutive Integers
Consecutive Integer Problems. What is a consecutive integer? Integer: natural numbers and zero Integer: natural numbers and zero Consecutive: one after.
Consecutive Integer Problems
What is the best way to start? 1.Plug in n = 1. 2.Factor 6n 2 + 5n Let n be an integer. 4.Let n be an odd integer. 5.Let 6n 2 + 5n + 4 be an odd.
(a) (b) (c) (d). What is (1,2,3)  (3,4,2)? (a) (1, 2, 3, 4) (b) (1,2)  (3,4) (c) (1,3,4,2) (d) (3,1)  (4,2)
11 and 6 3 and 9 2, 5, 10 and 4, 8 Divisibility Rules.
Consecutive Numbers Algebra I.
– ALGEBRA I – Unit 1 – Section 2 Consecutive
Applications of Consecutive Integers
Arithmetic Sequences & Partial Sums Pre-Calculus Lesson 9.2.
Word problems.
Algebra Foundations 1 Fall Semester Review.
1. Determine if f(x) has a minimum or maximum 2. Find the y-intercept of f(x) 3. Find the equation of the axis of symmetry of f(x) 4. Find the vertex of.
Chapter 2 Sections 5-6 Problem Solving and Formulas.
Consecutive Number Problems
Lesson 8.1 Page #1-25(EOO), 33, 37, (ODD), 69-77(EOO), (ODD), 99, (ODD)
I expect to see… 1.The variables defined. 2.The equation written for the problem. 3.Work shown in solving the equation. 4.A statement written answering.
Jeopardy TEST REVIEW Unit 2 and 3. Percents #1 30% of what number is 115?
Lesson 3-4 Solving Multi-Step Equations. Definition Working Backward- work the axiom of order backwards.
Twenty Questions Subject: -Translating expressions -Solving equations -Word problems.
solve x + (-16) = -12 solve x + (-16) = X = 4.
Consecutive even/odd Integers
2.7 Problem Solving: Consecutive Integers Objective: To write equations to represent relationships among integers. Warm – up: Evaluate each expression.
Pythagorean Theorem – Prove It! Converse of Pythagorean Theorem 1.) Is a triangle with side measures of 30, 40, and 50 units a right triangle? Prove it!
Drill #22 Solve each equation using multiplication: 1. ¾ x =
The length of a rectangle is 6 in. more than its width. The perimeter of the rectangle is 24 in. What is the length of the rectangle? What we know: Length.
* Please pick up your calculator as you are walking in!!* 1. Simplify the inequality: -3(b+2) > Simplify the inequality: 7m – 1 < Simplify.
Quadratic Equations and Problem Solving. The square of a number minus twice the number is sixty three.
OPENER: Solve and CHECK the following equations. 1.) − 12 + a = − 362.) t – ( − 16) = 9 3.) ¼ + x = ⅔4.) t + 16 = 9 a = t = -7 -¼ -¼.
x 5 64x 6 3x 7 - 3x x + 3 5x – 4 10x – 7 6x + 2 X – 4 7x x – 13 X 2 – 9 Yes No All real #s No.
The length of a rectangle is twice the width. The perimeter is 72 inches. Find the length and the width of the rectangle.
With Mr. Tyler $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.
Solving Equations. Solve: 1-Step Equations Addition & Subtraction r + 16 = -7u – 23 = 21.
September 19, 2012 More multi-step equations and consecutive integer problems Warm-up: Do one group’s multi-step review sheet. When you are done, compare.
Lesson 2-4: Solving Multi-Step Equations Algebra 1 CP Mrs. Mongold.
Algebra 3.5 Consecutive Integer Problems. Consider integers on a number line…… n n + 1 n + 2 n + 3.
Example: cost of bananas at $0.19 each 0.19b Objective.
Review on Sequences and Series-Recursion/Sigma Algebra II.
Opener: Find three consecutive odd integers whose sum is -63 Integer #1 = n Integer #2 = n + 2 Integer #3 = n + 4 (n) + (n + 2) + (n + 4) = -63 3n + 6.
Quadratic Formula Finding solutions to quadratic equations can be done in two ways : 1. Factoring – it’s a short cut. Use it if you can 2. Using the Quadratic.
LESSON 6: EQUATIONS WITH DECIMAL NUMBERS, CONSECUTIVE INTEGER WORD PROBLEMS.
Lesson Days Equations and Problem Solving Pages
Do-Now 1)3x 2 – 20x – 7 = 0 2)x 2 + 2x + 1 = 0 3)x 2 – 100x – 204 = 0 4)2x 2 + 9x + 9 = 0 Factor each of the following.Now solve each of them. (3x + 1)(x.
3.4 Using Equations to Solve Problems Objective: To use the five-step plan to solve word problems. Warm – up: State three consecutive integers. State three.
Ch. 3 Solving Linear Equations
4.2 Integer, Coin and Stamp Problems
2.3 Solving Multi-Step Equations
Sequences and Series 9.1.
Do Now Pg 161 #22, 27, 28.
Consecutive Numbers Algebra I.
Warm Up Identify the slope and y-intercept of each equation. Then graph. 1. Y = -5X X + 5Y = X = Y = 12.
Consecutive Number Equations
2-3: Solving Multi-Step Equations
Basic Algebraic Applications
Warm Up Solve each equation. 1. y – 4 = 3x – 8, for x
Word Problems.
Equations with the Variable on Both Sides
Solving Word Problems Underline important information (data, numbers, etc) Circle what you are trying to find Draw Picture Define your variable Write.
Consecutive Integer Problems
Consecutive Integers.
Consecutive Integers: Numbers are one apart
Jeopardy Equations Absolutes Multi-step Conversions
2-4 Solving Multi-Step Equations
Word Problems Numerical Solutions
Bell Work Combine all the like terms
1.8 Consecutive Integers Notes on Handout.
Presentation transcript:

CONSECUTIVE INTEGERS

CONSECUTIVE INTEGERS - Consecutive integers are integers that follow each other in order. They have a difference of 1 between each number. So 3, 4, 5 are three consecutive numbers.

CONSECUTIVE ODD INTEGERS – Consecutive odd integers are odd integers that follow each other in order with a difference of two. 13, 15, 17, 19 are four consecutive odd integers.

CONSECUTIVE EVEN INTEGERS – Consecutive even integers are even integers that follow each other in order with a difference of two. 8, 10, 12, 14 are four consecutive even integers.

PROBLEM #1: Find two consecutive integers whose sum is 17.

PROBLEM #2: Find three consecutive even integers such that the product of the first and second is one half the product of the second and third.