Chapter 5 Exercises 5.1 --- Graphing Linear Equations Plot and Label the following points. Prob #1 A(6, -3 ) Prob #2 B( -, 2.5) Location A (a...f) is: ( ) Location B (a...f) is: ( ) Rectangular Coordinate System (RCS) Y-Axis a -6 -5 4 -3 2 1 1/ 2 3 4 5 6 7 8 X - Axis .eLecture 5.3 Introduction to Graphing Linear Equations Graph the following Special Straight lines. Note: You should be able to look at the equation and graph. No work is required. Prob #3 x = 4 Prob #4 y = 4 Correct Line for x (a...d) is:{ ) Correct Line for y (a...d) is:{ ) Chapter 10 Quadratic Equations Section 10.1 Solving Quadratic Equations by Factoring Solve the following quadratic equations by factoring. 11. x' -5x - 24 = 0 12. 6x' + 9x = x -2 a) x1 = -8;x2 = -3 a) X1= - X2=-1 I NW IK b) x1 = 8;x2 =-3 b) * = *=-1 c) X1 = -8;X2 = 3 c) X1= $12 = 1 d) x1 = 8;x2 = 3 d) X1 = *2= 1 Section 10.2 Algebra for Completing the Square Determine if the following trinomials are perfect square trinomials. 13. 4x' - 12xy - 9y' 14. 25y' - 18y + 16 a) Yes a) Yes b) No b) No Factor the following perfect square trinomials. 15. 64A' - 32A + 4 16. 4m' + 48m + 144 a) (8A - 2)2 a) (2m - 12)2 b) (8A + 2)2 b) (2m - 12)(2m + 12) () (8A - 2) (8A + 2) c) (2m - 12) (2m - 12) d) (8A + 2) (8A - 2) d) (2m + 12)2Section 10.4 Quadratic Formula Use h: 4ac to determine if the quadratic equation can be factored and if so, will it have two distinct real roots, a double root, or two conjugate complex roots. 2|]. 5x3 + 13:: + 6 21. 2m2 + 3m + 8 a} Yes Two distinct roots a) Yes Two distinct roots 1]] Yes Double root h) Yes Double root c) No Two complex roots c) No Two complex roots d} No Two distinct roots (I) No Two distinct roots Section 10.5 The Quadratic Formula Sols-'c the following quadratic equations by using the quadratic formula. 22. 6A=+12A=6 23. 4x==4x4 a] A1: 1;A3=3 a) x=1.5i0.866i b] A1: 2;A2=3 b) x =2.5i0.866i c) A1: 1 c) x=2.5i.466i d] A1=3 cl) x=0.5i0.866t Lecture 5.9 Determine the Equation of a Line Determine the equation of a "non - special" line in the form y = mx + b given the following information. Prob #9 m = 2 and (-3,5 ) a) y= 2x+ 11 b) y =3x - 11 () y = 2x- 11 d) y = 3x + 11 Prob #10 m = = and (2, 5 ) y = a +3: age y = y = x+3: d) y= - 3:1 and y intercepts Graphing Linear Equations: L eeture 5.4 Determine the 1: and 3; intercepts and graph. 4x3 =12 5 Fred] # 3+ .is:( Correct Line for #6 (a... J (amt) is: 1: #5 Correct Line for Lecture 5.8 Graphing Linear Equations: Sketch each line with given slope. Prob #7 y = Zx+4 Prob #8 _x - 3 Correct Line for #7 (a...f) is: ( ) Correct Line for #8 (a...f) is: ( ) Rectangular Coordinate System (RCS) Y-Axis b -7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 X - Axis Va