Give
the Missing
Factor
Factor
and 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
10
Give the Missing Factor
2
X – 121  (x – 11)(
? )
Click to check answer
X + 11
This is a Difference of Squares and
thus it factors into two conjugates.
Click to return to game board
20
Give the Missing Factor
2
2
x – 18x + 81 
(x – 9) ( ? )
Click to check answer
(x – 9)
2
This is a PST, so it factors as (x – 9)
Click to return to game board
30
Give the Missing Factor
3
2
6x – 39x – 21x
3x(x – 7) ( ? )
Click to check answer
(2x + 1)
2
3x(2x
Step 1:
– 13x – 7)
Step 2 is to reverse FOIL
Click to return to game board
40
Give the Missing Factor
3
3
x – 27y 
(x – 3y) ( ? )
Click to check answer
2
2
(x + 3xy + 9y )
The middle term is the opposite of the product of
the cube roots found in the binomial factor.
Click to return to game board
50
Give the Missing Factor
4
2
x – 7x + 10 
2
(x
– 5) ( ? )
Click to check answer
2
x
–2
Notice this is a “quartic” (4th degree) that factors just
like a “quadratic” trinomial (2nd degree)
Click to return to game board
10 Factor and Solve the Equation
2
x – 49 = 0
Click to check answer
{ – 7, 7}
Step 1 – DOTS: (x – 7)(x + 7) = 0
Click to return to game board
20
Factor and Solve the Equation
2
6x + x – 1 = 0
Click to check answer
𝟏 𝟏
− ,
𝟐 𝟑
Step 1 – FOIL: (3x – 1)(2x + 1) = 0
Step 2 – Set each factor to zero: 3x – 1= 0 2x + 1 = 0
3x = 1
Click to return to game board
2x = – 1
30 Factor and Solve the Equation
3
10x –
2
65x
+ 75x= 0
Click to check answer
3
0, , 5
2
Step 1 – GCF: 5x(2x2 – 13x + 15) = 0
Step 2 – Foil: 5x(2x – 3)(x – 5) = 0
Click to return to game board
40 Factor and Solve the Equation
4
2
x – 10x + 9 = 0
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) = 0
Click to return to game board
50 Factor and Solve the Equation
2
x (x
– 5) – 9(x – 5) = 0
Click 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
10
Factor a Trinomial
2
4x + 20x + 25
Click to check answer
(2x +5)(2x + 5) or (2x +
2
5)
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.
Click to return to game board
20
Factor a Trinomial
2
4ax – 44ax – 48a
Click to check answer
4a(x – 12)(x + 1)
2
4a(x –
Step 1 – GCF:
11x – 12)
Step 2 – FOIL: 4a( x – 12)(x + 1)
Click to return to game board
30
18x
Factor a Trinomial
2+
21x – 30
Click to check answer
3(6x – 5)(x + 2)
2
3(6x +
Step 1 – GCF:
7x – 10)
Step 2 – FOIL: 3(6x – 5)(x + 2)
Click to return to game board
40
2
x (a+3)
Factor a Trinomial
− x(a+3) − 30(a+3)
Click to check answer
(a+3)(x – 6)(x + 5)
2
(a+3)(x –
Step 1 – GCF:
x – 30)
Step 2 – FOIL: (a+3)( x – 6)(x + 5)
Click to return to game board
50
3
(y+2)x –
Factor a Trinomial
2
13(y+2)x
+ x(y+2)
Click to check answer
2
x(y+2)(x
– 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
10
2
x (a
Mixed Factoring
– 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
20
3
12x
Mixed Factoring
–
2
27xy
Click to check answer
3x(2x – 3y)(2x + 3y)
2
3x(4x
Step 1 – GCF:
–
Step 2 is DOTS
Click to return to game board
2
9y )
30
3
wx
Mixed Factoring
–
3
64wy
Click to check answer
w(x –
2
4y)(x
+ 4xy +
2
16y )
Step 1 – GCF: (w)[x3 – 64y3]
Step 2 – Diff of Cubes: w(x – 4y)(x2 + 4xy + 16y2)
Click to return to game board
40
Mixed Factoring
5acx – 15ac – 5bcx + 15bc
Click 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
50
2
7x
Mixed Factoring
– 42x + 63 –
10
28y
Click to check answer
7(x –
5
2y
– 3)(x +
Step 1 – GCF of all terms:
5
2y
– 3)
7( x2 – 6x + 9 – 4y10)
Step 2 – Grouping 3 X 1: 7[ (x –
Step 3 – DOTS:
2
3)
–
10
4y ]
7[ (x – 3) – 2y5] [ (x – 3) + 2y5]
Click to return to game board
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.
Return to main game board