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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
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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.