Applications and Problem Solving

Slides:



Advertisements
Similar presentations
Word Problems Using Percents and Perimeter By Dr. Carol A. Marinas.
Advertisements

Algebra Mt. Rainer Get ready for a “Small Quiz” to be written on your grade sheet.
Section 7.6: More Applications of Quadratic Equations.
1 Common exam Common Exam 1 Exam graded out of 16 problems so 2 problems are ‘extra credit’ Average (sections 14 and 16): mid-range B Low – 5 High.
THE VIPER THE VIPER (Six Flags Over Magic Mountain) 188 feet high 70 mph One of the largest looping roller coasters in the world 3.3 Carousels and Roller.
Auxiliary Views.
Page 185 example 1 In 1998, at age 79, Earl Shaffer became the oldest person to hike all 2100 miles of the Appalachian Trail – from Springer Mountain Georgia,
2.1 – Linear and Quadratic Equations
Applications of Geometry Example 1: The perimeter of a rectangular play area is 336 feet. The length is 12 feet more than the width. Determine the dimensions.
You will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms.
Perimeter Is the sum of the lengths of the sides. When solving a perimeter problem, it is helpful to draw and label a figure to model the region.
Chapter 3 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 3-1 Applications of Algebra.
§ 3.3 Geometric Problems. Angel, Elementary Algebra, 7ed 2 Solving Geometric Problems Two angles are complementary angles if the sum of their measures.
Algebra Foundations 1 Fall Semester Review.
Section 7.4   Applications of Quadratic Equations.
Bell Problem Find the value of x Use Inequalities in a Triangle Standards: 1.Analyze properties of 2-D shapes 2.Understand how mathematical ideas.
2.2 - Formulas Example 1: Using the given values, solve for the variable in each formula that was not assigned a value. Check:
Review of 2-1 to 2-5 Evaluating algebraic expressions Solve equations with variables on both sides, parenthesis, absolute value.
CHAPTER 5 TEST REVIEW SHOW ME THE MONEY!. QUESTION #1 Find the perimeter and area of the figure. 18ft 36ft 18ft 9ft A. 324ft², 72ft B. 162ft², 72ft C.
Solving Multiplication Equations Using the Multiplicative Inverse
Quick Start Expectations 1.Fill in planner and HWRS HW: WS: 11-3 Guided Problem Solving 2.Get a signature on HWRS 3.On desk: journal, LS kit, Toolkit,
If a coat is on sale for $74 and it was 30% off the original price, then what was the original price?
(For help, go to Lesson 1-1.) ALGEBRA 1 LESSON 2-7 Write a variable expression for each situation. 1.value in cents of q quarters 2.twice the length 3.number.
1-4 Applications and Problem Solving Mean what you say, and say what you mean!!!
Writing Equations.
The length of a rectangle is twice the width. The perimeter is 72 inches. Find the length and the width of the rectangle.
Solving Equations. Solve: 1-Step Equations Addition & Subtraction r + 16 = -7u – 23 = 21.
1.6 Solving Inequalities. Solving Inequalities ● Solving inequalities follows the same procedures as solving equations. ● There are a few special things.
Chapter 8 Section 4 Solving System of Equations Applications and Problem Solving.
You are Master of the Word. Be sure to read the directions in each problem.
Problem Solving: Geometry and Uniform Motion. 1. Find two supplementary angles such that the measure of the first angle is three times the measures of.
Warm up 1. Convert 5,400 inches to miles. (1 mi = 5280 ft) 2. Convert 16 weeks to seconds 3. Convert 36 cm per second to miles per hour. (1 in = 2.54 cm)
Jeopardy Mixed Equations Solving Applications Review Systems Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.
Teacher Notes This is a two day lesson. The Homework is not split up over the two days, but could be at your discretion. Students should have two days.
(For help, go to Lesson 1-1.) ALGEBRA 1 LESSON 2-5 Write a variable expression for each situation. 1.value in cents of q quarters 2.twice the length 3.number.
Find a number (or numbers) that is (are) 110 less than its square.
Lesson 3-7 Pages Using Formulas. What you will learn! 1. How to solve problems by using formulas. 2. How to solve problems involving the perimeters.
(For help, go to Lesson 1-1.) ALGEBRA 1 LESSON 2-5 Write a variable expression for each situation. 1.value in cents of q quarters 2.twice the length 3.number.
Mini Quiz Find the domain and range of the function:
1. Which choice shows a graph of the system of equations, x + y = 3 and y = –x. Does the system have, no solution, one solution, or infinitely many solutions?
1.3 Applications.
Special Right Triangles
6.5 Law of Cosines.
The Thrills and Chills of Roller Coasters
Indirect Proof and Inequalities in One Triangle
Lecture on The Appalachian Trail
Puzzle A Puzzle B.
Coordinate Algebra Practice EOCT Answers Unit 1.
Solving Word Problems Underline important information (data, numbers, etc) Circle what you are trying to find Draw Picture Define your variable Write.
Warm up Interpret the following: “The quotient of a number cubed and twelve plus twice a different number” Solve for “m”: 22 = 5m + 7.
You will have a limited amount of time to solve the following problems with a partner. Remember to DEFINE your variable first!! Good luck!
Mean absolute deviation
Let’s Calculate….
Quick Question: The Top Thrill Dragster Coaster is the 2nd
Combine Like Terms and Distribute
Chapter 5 Section 3 Solving Linear Equations with Fractions and Decimals by Clearing the Denominators.
Coordinate Algebra Practice EOCT Answers Unit 1.
Inequalities for One Triangle
Solving Equations by Multiplying or Dividing 1-8
The Appalachian Trail By Mr. Armstrong
15. Law of Cosines.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Quick Preview The diagram at the right shows the side view of a ski lift. What is the vertical change from: A to B? B to C? C to D? What is the horizontal.
Copyright © Cengage Learning. All rights reserved.
Using Equations to solve problems
Week 2 Section 2.4, 2.5, 2.6 and section 2.7 Srabasti dutta.
Coordinate Algebra Practice EOCT Answers Unit 1.
Coordinate Algebra Practice EOCT Answers Unit 1.
Translating Words to Symbols
Equations, Inequalities, and Problem Solving
Presentation transcript:

Applications and Problem Solving

In 1998, at age 79, Earl Shaffer became the oldest person to through-hike all 2100 miles of the Applacian Trail—from Springer Mountain, Georgia, to Mount Katahdin, Maine.

Shaffer through-hiked the trail three times, in 1948 (Georgia to Maine), in 1965 (Maine to Georgia), and in 1998 (Georgia to Maine) near the 50th anniversary of his first hike.

Shaffer stood atop Big Walker Mountain, Virginia which is three times as far from the northern end as from the southern end.

Shaffer stood atop Big Walker Mountain, Virginia which is three times as far from the northern end as from the southern end.

How far was Shaffer from each end of the trail?

A rocket is divided into three sections: the payload and navigation section in the top, the fuel section in the middle, and the rocket engine section in the bottom.

The top section is one-sixth the length of the bottom section The top section is one-sixth the length of the bottom section. The middle section is one-half the length of the bottom section. The total length of the rocket is 240 feet. Find the length of each section.

The top section is one-sixth the length of the bottom section The top section is one-sixth the length of the bottom section. The middle section is one-half the length of the bottom section. The total length of the rocket is 240 feet. Find the length of each section.

U.S. Interstate highways post numbered markers every mile to indicate location in case of an accident or breakdown.

In many states, the numbers on the markers increase from west to east.

The sum of two consecutive mile markers on I-70 in Kansas is 559 The sum of two consecutive mile markers on I-70 in Kansas is 559. Find the numbers on the markers.

The sum of three consecutive numbers is 198. Find the numbers.

The sum of three consecutive odd numbers is 111. Find the numbers.

It costs $225 per month plus 1.2 cents per copy to rent a copy machine. A law firm needs to lease a copy machine for use during a special case that they anticipate will take 3 months.

If they a lot a budget of $1100, how many copies can they make?

The perimeter of an NBA basketball court is 288 feet The perimeter of an NBA basketball court is 288 feet. The length is 44 feet longer than the width. Find the dimensions of the court.

The perimeter of an NBA basketball court is 288 feet The perimeter of an NBA basketball court is 288 feet. The length is 44 feet longer than the width. Find the dimensions of the court.

The first angle is twice as large as the second angle and the third angle is 200 greater than second angle.

In a triangular gable end of a roof, the angel of the peak is twice as large as the angle on the back side of the house. the measure of the angle on the front side is 200 greater than the angle on the back side.

How large are the angles?

The average top speed of the three fastest roller coasters in the world is 109 mph. The third fastest roller coaster, Superman the Escape (at Six flags Magic Mountain, Los Angeles, CA) reaches a top speed of 20 mph less than the fastest roller coaster, Top Thrill Dragster (in Cedar Point, Sandusky, OH).

The second fastest roller coaster Dodonpa (in Fujikyu Highlands, Japan) has a top speed of 107 mph. What is the top speed of the fastest roller coaster?

Speed of the fastest roller coaster x Speed of the second fastest roller coaster 107 Speed of the third fastest roller coaster x-20

An investment is made at 6% simple interest for 1 year An investment is made at 6% simple interest for 1 year. It grows to $768.50. How much was originally invested (the principal)?

The Landers are planning to sell their home The Landers are planning to sell their home. If they want to be left with $117,500 after paying 6% of the selling price to a realtor as a commission, for how much must they sell the house?

Lesson 2.6 Numbers 1-36