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Presentation on theme: "Boundless Lecture Slides Free to share, print, make copies and changes. Get yours at www.boundless.com Available on the Boundless Teaching Platform."— Presentation transcript:

1 Boundless Lecture Slides Free to share, print, make copies and changes. Get yours at www.boundless.com Available on the Boundless Teaching Platform

2 Using Boundless Presentations The Appendix The appendix is for you to use to add depth and breadth to your lectures. You can simply drag and drop slides from the appendix into the main presentation to make for a richer lecture experience. Free to edit, share, and copy Feel free to edit, share, and make as many copies of the Boundless presentations as you like. We encourage you to take these presentations and make them your own. Free to share, print, make copies and changes. Get yours at www.boundless.com Boundless Teaching Platform Boundless empowers educators to engage their students with affordable, customizable textbooks and intuitive teaching tools. The free Boundless Teaching Platform gives educators the ability to customize textbooks in more than 20 subjects that align to hundreds of popular titles. Get started by using high quality Boundless books, or make switching to our platform easier by building from Boundless content pre-organized to match the assigned textbook. This platform gives educators the tools they need to assign readings and assessments, monitor student activity, and lead their classes with pre-made teaching resources. Get started now at: If you have any questions or problems please email: educators@boundless.com http://boundless.com/teaching-platform

3 Boundless is an innovative technology company making education more affordable and accessible for students everywhere. The company creates the world’s best open educational content in 20+ subjects that align to more than 1,000 popular college textbooks. Boundless integrates learning technology into all its premium books to help students study more efficiently at a fraction of the cost of traditional textbooks. The company also empowers educators to engage their students more effectively through customizable books and intuitive teaching tools as part of the Boundless Teaching Platform. More than 2 million learners access Boundless free and premium content each month across the company’s wide distribution platforms, including its website, iOS apps, Kindle books, and iBooks. To get started learning or teaching with Boundless, visit boundless.com.boundless.com Free to share, print, make copies and changes. Get yours at www.boundless.com About Boundless

4 Linear Equations and Their Applications Zeroes of Linear Functions Formulas and Problem-Solving Linear Equations and Functions Functions, Equations, and Inequalities > Linear Equations and Functions Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra?campaign_content=book_196_section_22&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=dir ect&utm_source=boundless

5 Linear equations can be expressed in the form: Ax+By+Cz+...=D. Linear equations can contain one or more variables; it's possible for such an equation to include an infinite number of variables. Linear equations can be used to solve for unknowns in any relationship in which all the variables are first order. Linear Equations and Their Applications Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/functions-equations-and-inequalities-3/linear-equations-and-functions- 22/linear-equations-and-their-applications-121- 5519?campaign_content=book_196_section_22&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=direct&utm_source=boundl ess View on Boundless.com Functions, Equations, and Inequalities > Linear Equations and Functions

6 A zero is a point at which a function's value will be equal to zero. Its coordinates are (x, 0), where x is equal to the zero of the graph. Zeros can be observed graphically or solved for algebraically. A linear function can have zero, one, or infinitely many zeros. If the function is a horizontal line (slope=0), it will have no zero unless its equation is y=0, in which case it will have infinitely many. If the line is non-horizontal, it will have one zero. Zeroes of Linear Functions Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/functions-equations-and-inequalities-3/linear-equations-and-functions- 22/zeroes-of-linear-functions-122- 5522?campaign_content=book_196_section_22&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=direct&utm_source=boundl ess View on Boundless.com Functions, Equations, and Inequalities > Linear Equations and Functions

7 A linear equation can be used to solve any problem that includes constants and variable(s) of first order. A linear equation can be solved for any one variable provided that the values of all other variables are known. Linear equations can be used to calculate tip, cost of goods, velocity, simple interest, and many more variables. Formulas and Problem-Solving Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/functions-equations-and-inequalities-3/linear-equations-and-functions- 22/formulas-and-problem-solving-123- 6103?campaign_content=book_196_section_22&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=direct&utm_source=boundl ess View on Boundless.com Functions, Equations, and Inequalities > Linear Equations and Functions

8 Free to share, print, make copies and changes. Get yours at www.boundless.com Appendix

9 Key terms line of credit A financial agreement under which a bank or other lender agrees to provide a client with loans of money up to an approved limit during a predefined period. The client may borrow the entire credit amount all at once or in portions during the specified period. linear equation A polynomial equation of the first degree (such as x = 2y - 7). linear function Any function whose graph is a straight line principal The money originally invested or loaned, on which basic interest and returns are calculated. y-intercept A point at which a line crosses the y-axis of a Cartesian grid. zero Also known as a root, a zero is an x value at which the function of x is equal to 0. Free to share, print, make copies and changes. Get yours at www.boundless.com Functions, Equations, and Inequalities

10 Interactive Graph: Linear Function Graph A linear function graph of (red) and (blue). Graphically, it can be observed that the equation has a zero at, and that has a zero at. Free to share, print, make copies and changes. Get yours at www.boundless.com Boundless. "Interactive Graph: Linear Function Graph." CC BY-SA 3.0 https://www.boundless.com/image/interactive-graph-linear-function-graph-7b7b5408-cf31- 47f2-b0f1-458990a8fd06 View on Boundless.comCC BY-SA 3.0https://www.boundless.com/image/interactive-graph-linear-function-graph-7b7b5408-cf31- 47f2-b0f1-458990a8fd06View on Boundless.com Functions, Equations, and Inequalities

11 Interactive Graph: Gratuity as a Function of Bill Price Graph of gratuity as a function of the price of the bill, y=0.18x, where gratuity of 18%. The dependent variable (y) represents gratuity (tip) as a function of cost of the bill (x) before gratuity. How would the equation change if you wanted to tip 20%? Free to share, print, make copies and changes. Get yours at www.boundless.com Boundless. "Interactive Graph: Gratuity as a Function of Bill Price." CC BY-SA 3.0 https://www.boundless.com/image/interactive-graph-gratuity-as-a-function-of-bill- price View on Boundless.comCC BY-SA 3.0https://www.boundless.com/image/interactive-graph-gratuity-as-a-function-of-bill- priceView on Boundless.com Functions, Equations, and Inequalities

12 Interactive Graph: Example of a Linear Equation Graph showing an example of two linear equations, (red) and (blue). Imagine these linear equations represent the trajectories of two vehicles. If the drivers want to designate a meeting point, they can algebraically find the point of intersection of the two functions. Free to share, print, make copies and changes. Get yours at www.boundless.com Boundless. "Interactive Graph: Example of a Linear Equation." CC BY-SA 3.0 https://www.boundless.com/image/interactive-graph-example-of-a-linear-equation View on Boundless.comCC BY-SA 3.0https://www.boundless.com/image/interactive-graph-example-of-a-linear-equation View on Boundless.com Functions, Equations, and Inequalities

13 Free to share, print, make copies and changes. Get yours at www.boundless.com Functions, Equations, and Inequalities A taxi in New York City charges a flat fee of $3.50, plus $0.75 for every mile traveled. How much would a 6 mile taxi ride cost? A) $8.00 B) $4.50 C) $14.00 D) $9.50

14 Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Functions, Equations, and Inequalities A taxi in New York City charges a flat fee of $3.50, plus $0.75 for every mile traveled. How much would a 6 mile taxi ride cost? A) $8.00 B) $4.50 C) $14.00 D) $9.50

15 Free to share, print, make copies and changes. Get yours at www.boundless.com Functions, Equations, and Inequalities A textbook has been marked up 15% and is being sold for $78.50. How much did the store pay the manufacturer for the textbook? A) $90.28 B) $66.73 C) $63.50 D) $62.26

16 Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Functions, Equations, and Inequalities A textbook has been marked up 15% and is being sold for $78.50. How much did the store pay the manufacturer for the textbook? A) $90.28 B) $66.73 C) $63.50 D) $62.26

17 Free to share, print, make copies and changes. Get yours at www.boundless.com Functions, Equations, and Inequalities Find the zero of the following function: y=-2x+4. A) x=-2 B) x=2 C) x=0 D) x=-4

18 Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Functions, Equations, and Inequalities Find the zero of the following function: y=-2x+4. A) x=-2 B) x=2 C) x=0 D) x=-4

19 Free to share, print, make copies and changes. Get yours at www.boundless.com Functions, Equations, and Inequalities Which of the following function has no zeros? A) x=7 B) y=7x+2 C) x=7y-2 D) y=7

20 Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Functions, Equations, and Inequalities Which of the following function has no zeros? A) x=7 B) y=7x+2 C) x=7y-2 D) y=7

21 Free to share, print, make copies and changes. Get yours at www.boundless.com Functions, Equations, and Inequalities Suppose your restaurant bill comes out to $56.50, and you pay a total of $65.54, including tip. Use the formula G=cXr to find out the percent of the gratuity. A) 18% B) 15% C) 20% D) 16%

22 Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Functions, Equations, and Inequalities Suppose your restaurant bill comes out to $56.50, and you pay a total of $65.54, including tip. Use the formula G=cXr to find out the percent of the gratuity. A) 18% B) 15% C) 20% D) 16%

23 Free to share, print, make copies and changes. Get yours at www.boundless.com Functions, Equations, and Inequalities Use the formula distance=rate X time to find out how long it will take to drive 225 miles at an average speed of 50 miles per hour. A) 4.0 hours B) 5.0 hours C) 4.5 hours D) 6.5 hours

24 Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Functions, Equations, and Inequalities Use the formula distance=rate X time to find out how long it will take to drive 225 miles at an average speed of 50 miles per hour. A) 4.0 hours B) 5.0 hours C) 4.5 hours D) 6.5 hours

25 Attribution Wikipedia. "Linear equation." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Linear_equationCC BY-SA 3.0http://en.wikipedia.org/wiki/Linear_equation Wiktionary. "linear equation." CC BY-SA 3.0 http://en.wiktionary.org/wiki/linear+equationCC BY-SA 3.0http://en.wiktionary.org/wiki/linear+equation Wikipedia. "Linear equation." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Linear_equationCC BY-SA 3.0http://en.wikipedia.org/wiki/Linear_equation Wiktionary. "y-intercept." CC BY-SA 3.0 http://en.wiktionary.org/wiki/y-interceptCC BY-SA 3.0http://en.wiktionary.org/wiki/y-intercept Wiktionary. "linear function." CC BY-SA 3.0 http://en.wiktionary.org/wiki/linear+functionCC BY-SA 3.0http://en.wiktionary.org/wiki/linear+function Boundless Learning. "Boundless." CC BY-SA 3.0 http://www.boundless.com//algebra/definition/zeroCC BY-SA 3.0http://www.boundless.com//algebra/definition/zero Wikipedia. "Linear equation." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Linear_equationCC BY-SA 3.0http://en.wikipedia.org/wiki/Linear_equation Wiktionary. "principal." CC BY-SA 3.0 http://en.wiktionary.org/wiki/principalCC BY-SA 3.0http://en.wiktionary.org/wiki/principal Wiktionary. "line of credit." CC BY-SA 3.0 http://en.wiktionary.org/wiki/line+of+creditCC BY-SA 3.0http://en.wiktionary.org/wiki/line+of+credit Free to share, print, make copies and changes. Get yours at www.boundless.com Functions, Equations, and Inequalities


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