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Understanding Linear Relations and Functions: Key Concepts and Examples

This guide focuses on linear relations and functions, exploring how to identify and write linear equations in standard form. It includes explanations of linear and nonlinear equations, along with practical applications like calculating volumes and building scale models. Readers will learn how to find intercepts and understand the significance of temperature conversions between Celsius and Fahrenheit. This comprehensive approach makes mastering linear equations accessible for students preparing for exams like the ACT/PSAE.

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Understanding Linear Relations and Functions: Key Concepts and Examples

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  1. Advanced AlgebraChapter 2Linear Relations and Functions 2.2 Linear Relations and Functions

  2. 27 • 64 • 9 • 10 Response Grid

  3. 20 + 6n • 31n • 15 +5n • 11n +20 Response Grid

  4. 20 + 6n • 31n • 15 +5n • 11n +20 Response Grid

  5. 20 + 6n • 31n • 15 +5n • 11n +20 Response Grid

  6. Fastest Responders (in seconds)

  7. Target Goals: 1. 2. Identify linear relations and functions. Write linear equations in standard form. ACT/PSAE Daily Review 1. By what factor does the volume of a rectangular prism increase if its side lengths are doubled? V = 84 in3 A.1 B. 2 C. 4 D. 8 E. 16 2. You are building a scale model of the Sears Tower. If your model is 21 centimeters tall using the scale 1 cm: 25 m, what is the actual height of the Sears Tower? A. 475 m B. 482 m C. 525 m D. 546 m E. 560 m

  8. LINEAR RELATIONS – LINEAR EQUATION – Relations that have straight line graphs. mult., +, or – a variable by a constant. Examples of…Linear Equations and Nonlinear Equations

  9. State whether each function is a linear function. Write yes or no and explain your answer.

  10. Ex 4) The linear function can be used to find the number of degrees Fahrenheit f (C) that are equivalent to a given number of degree Celsius C. On the Celsius scale, normal body temperature is 37°C. What is it in degrees Fahrenheit?

  11. STANDARD FORM of a LINEAR EQUATION  Write each equation in standard form. Identify A, B, and C.

  12. Y-INTERCEPT  X-INTERCEPT  The point of intersection of the line and the y axis. (x=0) The point of intersection of the line and the x axis. (y=0) Find the x-intercept and the y-intercept of the graph of the linear equation. Then graph the equation.

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