Intermediate Algebra – Student Workbook – Second Edition 2013

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$Lesson 2a – Assessment - Scottsdale Community College - Math Blog$

Lesson 1b – Linear Equations Mini-Lesson x-intercept Also called the HORIZONTAL INTERCEPT, this is the special ordered pair with coordinates (a, 0). 0 is the value of y (output) and the resulting input, a, is the x-coordinate of the x-intercept. The x-intercept is often used to help when graphing a linear equation and/or to determine the final input value in an application. Problem 4 WORKED EXAMPLE – FIND THE X-INTERCEPT FOR A LINEAR EQUATION Find the x-intercept (also called the horizontal intercept) for the equation y = -2x + 6. Method: Replace the value of y with 0 then solve for the value of x. Subtract 6 from both sides Divide both sides by -2 The x-intercept is (3, 0). Problem 5 MEDIA EXAMPLE – FIND X-INTERCEPT FOR A LINEAR EQUATION For each of the following problems, determine the x-intercept as an ordered pair using the methods above. Equation Show Work x-intercept Equation Show Work x-intercept a) y = -2x +5 b) y = 2 – x c) y = 3 4 x + 2 d) 2x – y = 4 e) 3x + 2y = 6 f) 8x = 4y Scottsdale Community College Page 32 Intermediate Algebra
Lesson 1b – Linear Equations Mini-Lesson Problem 6 YOU TRY – DRAW GRAPHS OF LINEAR EQUATIONS 3 Use the equation y x 9 for all parts of this problem. Label all plotted points. 2 a) Use the x-intercept and y-intercept to draw the graph of the line. Show your work to find these points. PLOT and LABEL the intercepts on the graph then connect them to draw your line. x-intercept : ( ___ , ___ ) y-intercept: ( ___ , ___ ) Work to find x-intercept Work to find y-intercept b) Determine the coordinates of two OTHER ordered pairs and use those to graph the line. PLOT and LABEL the points you use. Remember from your previous math work that you can create a t-table with ordered pairs other than the intercepts OR you can insert the equation into your Y= list on your TI 83/84 calculator then use the TABLE feature to identify two other ordered pairs. Remember to enter as y1=(-3/2)x + 9. Ordered pair 1: ( ___ , ___ ) Ordered pair 2: ( ___ , ___ ) NOTICE: Your graphs for parts a) and b) should look exactly the same. Scottsdale Community College Page 33 Intermediate Algebra
Page 1 and 2: Scottsdale Community College Interm
Page 3 and 4: Table of Contents Lesson 1a - Intro
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Lesson 2b - Functions and Function
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Appendix A: You Try Answers Lesson
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Intermediate Algebra – Student Workbook – Second Edition 2013

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