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Name: _____________________________________________________________ Date: ________________________ Period: ______ Chapter 1: Factoring & Solving REVIEW SHEET Complete all work on your iPad or on looseleaf. Email to me or hand in before your test for a 5 point bonus! VOCAB TO KNOW: Conjugate Pair: A pair of binomials with the same terms, but different signs. Negative Reciprocal: The result of taking the reciprocal of a number (flip) and changing the sign (negate). and and Part I: Factor completely. 1) 3x3a – 9xa2 + 18x4a 2) 300 – 3x2 3) 100y3 – 25y 4) 2x4 – 162 5) 2x2 + x – 6 6) 4x2 – 19x + 12 7) 5x2 – 17x + 6 8) 2x2 – 4x – 16 Name: _____________________________________________________________ Date: ________________________ Period: ______ Part II: Solve each quadratic equation by factoring. Check all solutions. Final answers belong in a solution set Recall: Check on your calculator by graphing the equation (once it’s equal to zero)and looking where it crosses the x-axis! 9) x2 + 6 = 5x 10) 2x2 – 12 = 10x 11) 6x2 = x + 2 12) 6 – x2 = x Name: _____________________________________________________________ Date: ________________________ Period: ______ Part III: Parallel & Perpendicular Lines 13) Determine the equation of the line parallel to the line y = 2x + 3 that passes through the point (1, 4). 14) Find an equation of the line perpendicular to 2y – 5x = 4 that passes thought the point (-4,5). 15) Determine the equation of the line that is parallel to 3y – 6x = 3 and passes through the point (-1, -3). 16) John answered the following question: “What is the equation of the line parallel to 2y = 4x-14 and passes through the point (-5, -6).” His answer was Was he correct? If not, explain to John what he did wrong and what the correct answer should have been. 17) Missy answered the following question: “What is the equation of the line perpendicular to 2x+3y=7 and passes through the point (3,2).” Her answer was Was she correct? If not, explain to her what she did wrong and what the correct answer should be. Name: _____________________________________________________________ Date: ________________________ Period: ______ Part IV: Linear/Quadratic Systems. Graph both equations. Show & state all solution points. 18) Solve the following system of equations graphically: 19) On the set of axes below, solve the following system of equations graphically for all values of x and y.