Quadratic Word Problems

Slides:



Advertisements
Similar presentations
A quadratic equation is written in the Standard Form,
Advertisements

Special Right Triangles Chapter 7.4. Special Right Triangles triangles triangles.
4.7 Quadratic Equations and Problem Solving BobsMathClass.Com Copyright © 2010 All Rights Reserved. 1 General Strategy for Problem Solving Understand the.
Apply the Pythagorean Theorem Chapter 7.1. Sides of a Right Triangle Hypotenuse – the side of a right triangle opposite the right angle and the longest.
EXAMPLE 4 SOLUTION Method 1: Use a Pythagorean triple. A common Pythagorean triple is 5, 12, 13. Notice that if you multiply the lengths of the legs of.
Applications of Consecutive Integers
9.4 – Solving Quadratic Equations By Completing The Square
EXAMPLE 1 Find the length of a hypotenuse SOLUTION Find the length of the hypotenuse of the right triangle. (hypotenuse) 2 = (leg) 2 + (leg) 2 Pythagorean.
EXAMPLE 1 Find the length of a hypotenuse SOLUTION Find the length of the hypotenuse of the right triangle. (hypotenuse) 2 = (leg) 2 + (leg) 2 Pythagorean.
Forms of a Quadratic Equation
Quadratic Equations and Problem Solving MATH 018 Combined Algebra S. Rook.
Benchmark 40 I can find the missing side of a right triangle using the Pythagorean Theorem.
12.3 The Pythagorean Theorem
Section 7.2 – The Quadratic Formula. The solutions to are The Quadratic Formula
Objective The student will be able to:
Geometry Section 7.4 Special Right Triangles. 45°-45°-90° Triangle Formed by cutting a square in half. n n.
Section 7.1 – Solving Quadratic Equations. We already know how to solve quadratic equations. What if we can’t factor? Maybe we can use the Square Root.
THE PYTHAGOREAN THEOROM Pythagorean Theorem  What is it and how does it work?  a 2 + b 2 = c 2  What is it and how does it work?  a 2 + b 2 = c 2.
Solving Equations Foil & Conjugates Multiplying & Dividing Adding & Subtracting Simplifying
Word Problems modeled by Quadratic Equations x + 1 x.
Simplify √ 196. If no answer exists, state “not real.” 14.
Example The hypotenuse of an isosceles right triangle is 8 ft long. Find the length of a leg. Give an exact answer and an approximation to.
Solving Quadratic Word Problems by Factoring March 11, 2014 SWBAT Solve Quadratic Word Problems by Factoring.
4.8 Applications of Quadratic Equations. Steps (reviews) Read and underline important words and numbers Assign variables Create equation and solve equation.
Warm Up The woodland jumping mouse can hop surprisingly long distances given its small size. A relatively long hop can be modeled by y = -2/9x(x-6) where.
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!
Pythagorean Theorem - Thurs, Oct 7
11.4 Pythagorean Theorem Definitions Pythagorean Theorem
4.8 Polynomial Word Problems. a) Define the variable, b) Write the equation, and c) Solve the problem. 1) The sum of a number and its square is 42. Find.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall Quadratic Equations and Problem Solving.
Quadratic Equations and Problem Solving. The square of a number minus twice the number is sixty three.
Warm-up Solve the equation for the missing variable. Assume all variables are positive. Express the answer in simplified radical form. 1. c 2 =
6.4 Completing the Square The Square Root Property.
Jeopardy Math Find the Number Linear Equation Factor.
Algebra: Consecutive Integer Problems Consecutive integer problems are word problems that involve CONSECUTIVE INTEGERS.
5.8 Applications of Quadratic Equations. Steps (reviews) Read and underline important words and numbers Assign variables Create equation and solve equation.
10-1 The Pythagorean Theorem. LEGS Hypotenuse Problem 1: Finding the Length of a Hypotenuse The tiles shown below are squares with 6-in. sides. What.
SATMathVideos.Net A) only I B) only II C) II and III D) I, II and III If two sides of a triangle have sides of lengths 4 and 7, the third leg of the triangle.
Quadratic Equations and Problem Solving. Martin-Gay, Developmental Mathematics 2 Strategy for Problem Solving General Strategy for Problem Solving 1)Understand.
Two Special Right Triangles
Warm Up Simplify the square roots
triangle.
Solving sides of special right triangles
Forms of a Quadratic Equation
Copyright 2013, 2010, 2007, 2005, Pearson, Education, Inc.
8-2 Special Right triangles
Solving Quadratic Equations by the Complete the Square Method
Quiz Sections 9.1 to 9.4 REVIEW GAME.
8-2 Special Right Triangles
Consecutive Integers: Numbers are one apart
8-4: Special Right Triangles
6-3 The Pythagorean Theorem Pythagorean Theorem.
15.6 – Radical Equations and Problem Solving
College Algebra Chapter 5 Systems of Equations and Inequalities
A quadratic equation is written in the Standard Form,
A quadratic equation is written in the Standard Form,
A quadratic equation is written in the Standard Form,
Special Right Triangles
Quadratic Word Problems
5.4 Completing the Square.
6-7: Solving Radical Equations
Question 34.
Solving Quadratic Equations by Finding Square Roots
Pythagorean Theorem.
A quadratic equation is written in the Standard Form,
Right Triangle Bingo.
10-1 The Pythagorean Theorem
1.8 Consecutive Integers Notes on Handout.
Even ANSWERS TO HOMEWORK
Presentation transcript:

Quadratic Word Problems Make a key Set up an equation Solve Plug back into key See if you need to reject any answers

Quadratic Word Problems Find three consecutive odd integers such that the product of the two smaller integers exceeds the largest integer by 52

Quadratic Word Problems Find three positive odd integers such that the square of the smallest exceeds twice the largest by 91

Quadratic Word Problems The length of one leg of a right triangle is 5. The lengths of the other leg and the hypotenuse of this triangle are consecutive integers. Find the length of each side of the triangle