section 1.3 homework questions? slide 1 copyright (c) the mcgraw-hill companies, inc. permission...
TRANSCRIPT
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Section 1.3 Homework questions?
Slide 1Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
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Section
Concepts
1.3 Applications of Linear Equations: Introduction to Problem Solving
Slide 2Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
1. Translations Involving Linear Equations
2. Problem-Solving Strategies
3. Applications of Linear Equations
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Translating Sentences in Equations(key words and phrases to remember)
Addition Subtraction Multiplication Division Powers
sum minus times quotient square 2
plus difference of divided by cube 3
total less than by ratio
more than less product
increased by decreased by twice
added to subtracted from
is → =
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Example 1 Translating to a Linear Equation
Slide 4Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
The sum of a number and negative eleven is negative fifteen. Find the number.
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Example 2 Translating to a Linear Equation
Slide 5Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
Forty less than five times a number is fifty-two less than the number. Find the number.
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Example Translating to a Linear Equation
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Twice the sum of a number and six is two more than three times the number. Find the number.
3
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Example 4 You Try
Slide 7Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
a. The sum of a number and negative seven is 12. Find the number.
b. Thirteen more than twice a number is 5 more than the number. Find the number.
c. Three times the sum of a number and eight is 4 more than the number. Find the number.
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Example 4 You Try
Slide 8Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
a. The sum of a number and negative seven is 12. Find the number.
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Example 4 You Try
Slide 9Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
b. Thirteen more than twice a number is 5 more than the number. Find the number.
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Example 4 You Try
Slide 10Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
c. Three times the sum of a number and eight is 4 more than the number. Find the number.
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Section 1.3 Applications of Linear Equations: Introduction to Problem Solving
2. Problem-Solving Strategies
(continued)
Slide 11Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
Problem-Solving Flowchart for Word Problems
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Section 1.3 Applications of Linear Equations: Introduction to Problem Solving
2. Problem-Solving Strategies
(continued)
Slide 12Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
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Section 1.3 Applications of Linear Equations: Introduction to Problem Solving
2. Problem-Solving Strategies
Slide 13Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
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Example 5 Using a Linear Equation in an Application
Slide 14Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
The hit movie The Dark Knight set a record for grossingthe most money during its opening weekend. Thisamount surpassed the previous record set by the movieSpider-Man 3 by $4.2 million. The revenue from thesetwo movies was $306.4 million. How much revenue dideach movie bring in during its opening weekend?
3. Applications of Linear Equations
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ExampleSolution:
5 Using a Linear Equation in an Application
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Example 6 We Try
Slide 16Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
A carpenter cuts a 6-ft board in two pieces. One piece must be three times as long as the other. Find the length of each piece.
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Example 7 We Try
Slide 17Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
There are 40 students in an algebra class. There are 4 more women than men. How many women and how many men are in the class?
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Example 8 You Try
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A board is 86 cm in length and must be cut so that one piece is 20 cm longer than the other piece. Find the length of each piece.
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Example 9 You Try
Slide 19Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
Maria’s age is 15 years less than Orlando’s age. The sum of their ages is 29. Find their ages.
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Example 10 You Try
Slide 20Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
For a recent year, the number of men in the U.S. Senate totaled 4 more than five times the number of women. Find the number of men and the number of women in the Senate given that the Senate has 100 members.
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Section
Concepts
1.3 Applications of Linear Equations: Introduction to Problem Solving
Slide 21Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
1. Translations Involving Linear Equations
2. Problem-Solving Strategies
3. Applications of Linear Equations
![Page 22: Section 1.3 Homework questions? Slide 1 Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display](https://reader035.vdocuments.us/reader035/viewer/2022062722/56649f2a5503460f94c44e98/html5/thumbnails/22.jpg)
Section 1.3 Applications of Linear Equations: Introduction to Problem Solving
Slide 22Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.