Ca_m2 - MAC 1105 Module 2 Modeling Linear Functions Rev.S08 Learning Objectives Upon completing this module you should be able to Recognize linear

Info iconThis preview shows pages 1–9. Sign up to view the full content.

View Full Document Right Arrow Icon
Rev.S08 MAC 1105 Module 2 Modeling Linear Functions
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Rev.S08 2 Learning Objectives Upon completing this module, you should be able to: Recognize linear equations. Solve linear equations symbolically and graphically. Find the zeros of a function. Identify solutions, zeros, and x-intercept. Solve an equation for a specified variable. http://faculty.valenciacc.edu/ashaw/ Click link to download other modules.
Background image of page 2
Rev.S08 3 Learning Objectives 6. Identify a table of values for a linear function. 7. Use constant first differences. 8. Model data with a linear function. 9. Use linear regression to model data. 10. Apply problem-solving strategies. http://faculty.valenciacc.edu/ashaw/ Click link to download other modules.
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Rev.S08 4 Modeling Linear Functions http://faculty.valenciacc.edu/ashaw/ Click link to download other modules. - Algebraic and Graphical Solutions of Linear Equations - Fitting Lines to Data Points: Modeling Linear Functions There are two major topics in this module:
Background image of page 4
Rev.S08 5 Linear Equations in One Variable A linear equation in one variable is an equation that can be written in the form ax + b = 0 where a and b are real numbers with a ≠ 0. (Note the power of x is always 1.) Examples of linear equations in one variable: 5 x + 4 = 2 + 3 x simplifies to 2 x + 2 = 0 Note the power of x is always 1. - 1( x – 3) + 4(2 x + 1) = 5 simplifies to 7 x + 2 = 0 Note the power of x is always 1. Examples of equations in one variable which are not linear: x 2 = 1 (Note the power of x is NOT 1.) (Note the power of x is NOT always 1.) http://faculty.valenciacc.edu/ashaw/ Click link to download other modules.
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Rev.S08 6 How to Solve a Linear Equations Symbolically? Solve - 1( x – 3) + 4(2 x + 1) = 5 for x - 1 x + 3 + 8 x + 4 = 5 7x + 7 = 5 7x = 5 – 7 7x = - 2 x = - 2/7 “Exact Solution” Linear Equations can always be solved symbolically and will produce an EXACT SOLUTION. The solution procedure is to isolate the variable on the left in a series of steps in which the same quantity is added to or subtracted from each side and/or each side is multiplied or divided by the same non-zero quantity. This is true because of the addition and multiplication properties of equality. http://faculty.valenciacc.edu/ashaw/ Click link to download other modules.
Background image of page 6
Rev.S08 7 How to Solve a Linear Equation Involving Fractions Symbolically? Solve Solution Process: http://faculty.valenciacc.edu/ashaw/ Click link to download other modules. When solving a linear equation involving fractions, it is often helpful to multiply both sides by the least common denominator of all of the denominators in the equation. The least common denominator of 3 and 4 is 12. Note that this is another “Exact Solution.”
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Rev.S08 8 How to Solve a Linear Equation Graphically? Solve
Background image of page 8
Image of page 9
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 11/11/2011 for the course MATH 110 taught by Professor Staff during the Winter '08 term at BYU.

Page1 / 36

Ca_m2 - MAC 1105 Module 2 Modeling Linear Functions Rev.S08 Learning Objectives Upon completing this module you should be able to Recognize linear

This preview shows document pages 1 - 9. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online