give t he missing factor
DESCRIPTION
Give t he Missing Factor. Factor a nd Solve Equations. Factor a Trinomial. Mixed Factoring. 10. 10. 10. 10. 20. 20. 20. 20. 30. 30. 30. 30. 40. 40. 40. 40. 50. 50. 50. 50. Click here for game DIRECTIONS. Hardtke Jeopardy Template 2011. - PowerPoint PPT PresentationTRANSCRIPT
Givethe Missing
Factor
Factorand SolveEquations
Factora
TrinomialMixed
Factoring
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Hardtke Jeopardy Template 2011Click here for game DIRECTIONS
X2 – 121 (x – 11)( ? )Click to check answer
X + 11This is a Difference of Squares andthus it factors into two conjugates.
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10 Give the Missing Factor
x2 – 18x2 + 81 (x – 9) ( ? )
Click to check answer
(x – 9)This is a PST, so it factors as (x – 9)2
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20 Give the Missing Factor
6x3 – 39x2 – 21x3x(x – 7) ( ? )
Click to check answer
(2x + 1)Step 1: 3x(2x2 – 13x – 7)Step 2 is to reverse FOIL
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30 Give the Missing Factor
x3 – 27y3 (x – 3y) ( ? )
Click to check answer
(x2 + 3xy + 9y2)The middle term is the opposite of the product of
the cube roots found in the binomial factor.Click to return to game board
40 Give the Missing Factor
x4 – 7x2 + 10 (x2 – 5) ( ? )
Click to check answer
x2 – 2Notice this is a “quartic” (4th degree) that factors just
like a “quadratic” trinomial (2nd degree)
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50 Give the Missing Factor
x2 – 49 = 0Click to check answer
{ – 7, 7}Step 1 – DOTS: (x – 7)(x + 7) = 0
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10 Factor and Solve the Equation
Click to check answer
Step 1 – FOIL: (3x – 1)(2x + 1) = 0Step 2 – Set each factor to zero: 3x – 1= 0 2x + 1 = 0 3x = 1 2x = – 1
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20 Factor and Solve the Equation
Click to check answer
Step 1 – GCF: 5x(2x2 – 13x + 15) = 0Step 2 – Foil: 5x(2x – 3)(x – 5) = 0
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30 Factor and Solve the Equation
Click to check answer
{ – 3, – 1, 1, 3}Step 1 – FOIL: (x2 – 1)(x2 – 9) = 0
Step 2 – DOTS: (x – 1)(x + 1)(x – 3)(x + 3) = 0Click to return to game board
40 Factor and Solve the Equation
x2(x – 5) – 9(x – 5) = 0Click to check answer
{ – 3, 3, 5}Step 1 – GCF: (x – 5)(x2 – 9) = 0
Step 2 – DOTS: (x – 5)(x – 3)(x + 3) = 0
Click to return to game board
50 Factor and Solve the Equation
4x2 + 20x + 25Click to check answer
(2x +5)(2x + 5) or (2x + 5)2
This is a PST. When the 1st & 3rd terms are squares always check first to see if a binomial squared
will give the correct middle term.
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10 Factor a Trinomial
Click to check answer
4a(x – 12)(x + 1) Step 1 – GCF: 4a(x2 – 11x – 12)Step 2 – FOIL: 4a( x – 12)(x + 1)
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20 Factor a Trinomial
Click to check answer
3(6x – 5)(x + 2) Step 1 – GCF: 3(6x2 + 7x – 10)Step 2 – FOIL: 3(6x – 5)(x + 2)
Click to return to game board
30 Factor a Trinomial
Click to check answer
(a+3)(x – 6)(x + 5) Step 1 – GCF: (a+3)(x2 – x – 30)Step 2 – FOIL: (a+3)( x – 6)(x + 5)
Click to return to game board
40 Factor a Trinomial
x(y+2)Click to check answer
x(y+2)(x2 – 13x + 1) Step 1: x(y + 2) is a GCF of all three terms
Then the leftover trinomial is prime,so you’re done.
Click to return to game board
50 Factor a Trinomial
x2(a – b) – 9(a – b)
Click to check answer
(a – b)(x – 3)(x + 3)Step 1 (a – b) is the GCF: (a – b)[x2 – 9]
Step 2 DOTS: (a – b)(x – 3)(x + 3)Click to return to game board
10 Mixed Factoring
12x3 – 27xy2Click to check answer
3x(2x – 3y)(2x + 3y)Step 1 – GCF: 3x(4x2 – 9y2)
Step 2 is DOTSClick to return to game board
20 Mixed Factoring
wx3 – 64wy3
Click to check answer
w(x – 4y)(x2 + 4xy + 16y2)Step 1 – GCF: (w)[x3 – 64y3]
Step 2 – Diff of Cubes: w(x – 4y)(x2 + 4xy + 16y2)Click to return to game board
30 Mixed Factoring
5acx – 15ac – 5bcx + 15bcClick to check answer
5c(a – b)(x – 3)Step 1 – GCF of all terms: 5c(ax – 3a – bx + 3b)
Step 2 – Grouping: 5c[a(x – 3) – b(x – 3)]Step 3 – GCF: 5c(x – 3)[a– b]
Click to return to game board
40 Mixed Factoring
7x2 – 42x + 63 – 28y10
Click to check answer
7(x – 2y5 – 3)(x + 2y5 – 3)Step 1 – GCF of all terms: 7( x2 – 6x + 9 – 4y10)
Step 2 – Grouping 3 X 1: 7[ (x – 3)2 – 4y10]Step 3 – DOTS:
7[ (x – 3) – 2y5] [ (x – 3) + 2y5]Click to return to game board
50 Mixed Factoring
Jeopardy Directions• Any group member may select the first question and students rotate choosing the next
question in clockwise order regardless of points scored.
• As a question is exposed, EACH student in the group MUST write his solution on paper. (No verbal responses accepted.)
• The first student to finish sets down his pencil and announces 15 seconds for all others to finish working.
• After the 15 seconds has elapsed, click to check the answer.– IF the first student to finish has the correct answer, he earns the point value of the question and no
other students earn points.– IF that student has the wrong answer, he subtracts the point value from his score and EACH of the
other students with the correct answer earns/steals the point value of the question. (Those students do NOT lose points if incorrect, only the first student to “ring in” can lose points in this game version.)
• Each student should record a running total of his own score.
• Good sportsmanship and friendly assistance in explaining solutions is expected! Reviewing your math concepts is more important than winning.
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