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Final Jeopardy
RULES OF THE
GAME
1. Teams of 4-5
1. 1 dry erase board, 1 marker, and 1 eraser per student
1. The teacher will pick the first question
1. The team that answers the first question correctly will
then choose the next category and question
1. To get a question correct, each member of each group
MUST show the work and correct answer.
Distributive Distributive
1-side
2-side
Spiro
Rewrite
Mixed
10
10
10
10
10
20
20
20
20
20
30
30
30
30
30
40
40
40
40
40
50
50
50
50
50
Distributive 1-side
10 points
Solve for x:
2(x - 2) + 8 = 12
Solve for x:
Distribute 2
Add -4 and 8
Subtract 4
Divide by 2
10 points
2(x - 2) + 8 = 12
2x – 4 + 8 = 12
2x + 4 = 12
2x = 8
x=4
Distributive 1-side
20 points
Solve for x:
2(x + 1) + 5 = x + 2
Is x = -3 a solution? Why or
why not?
Left Side:
Right side:
Insert -3 for x
2(x + 1) + 5 = x + 2
Add -3 and 1 2(-3 + 1) + 5 = -3 + 2
Multiplied 2 and -2
2(-2) + 5 = -1
Add -4 and 5
-4 + 5 = -1
1 ≠ -1
20 points
No, x = -3 is not a solution to the
equation because 1 ≠ 1.
Insert -3 for x
Add -3 and 2
Distributive 1-side
30 points
Solve for x:
- (3x - 2) = - 7
Solve for x:
- (3x - 2) = - 7
-3x + 2 = - 7
-3x = - 9
x=3
30 points
Distribute the Subtract 2
Divide by - 3
Distributive 1-side
40 points
Solve for x:
x + 2 + 3x = 4(x – 1)
Left side:
Solve for x:
Add x and 3x
Subtract 2
If you subtract 4x from both
sides we are left with
ZERO x’s. That means
there is no solution.
40 points
Right side:
x + 2 + 3x = 4(x – 1)
4x + 2 = 4(x – 1)
4x + 2 = 4x – 4
4x = 4x - 6
No solution.
Distribute 4
Distributive 1-side
50 points
Solve for x:
2(3x + 4) + 2 = 6x + 10
Solve for x:
Distribute 2
Add 8 and 2
Subtract 10
Divide by 6
2(3x + 4) + 2 = 6x + 10
6x + 8 + 2 = 6x + 10
6x + 10 = 6x + 10
6x = 6x
x=x
There are infinitely many solutions.
50 points
Distributive 2-side
10 points
Solve for m:
5(m - 1) = 2(m + 2)
Solve for m:
Left Side:
Distribute 5
Add 5
Divide by 3
10 points
Right Side:
5(m - 1) = 2(m + 2)
5m - 5 = 2m + 4
3m - 5 = 4
3m = 9
m=3
Distribute 2
Subtract 2m
Distributive 2-side
20 points
Solve for x:
7(-x + 1) = 3(2x - 4)
7(-x + 1) = 3(2x - 4)
-7x + 7 = 6x -12
-13x + 7 = -12
-13x = -19
x = 19/13
20 points
Distributive 2-side
30 points
Solve for n:
7(2n – 3) = 5(3n – 4)
Left side:
Distribute 7
Subtract 14n
30 points
Right side:
7(2n – 3) = 5(3n – 4) Distribute 5
14n – 21 = 15n - 20
-21 = n - 20
Add 20
-1 = n
Distributive 2-side
40 points
Solve for p:
-(p + 17) = 5(p – 3)
Left side:
Distribute –
Add p
40 points
Left side:
-(p + 17) = 5(p – 3)
-p - 17 = 5p – 15
-17 = 6p – 15
-2 = 6p
-2/6 = p
-1/3 = p
Distribute 5
Add 15
Divide by 6
Distributive 2-side
50 points
Solve for s:
-(-4 + s) = -1/3(12s – 21)
Left side:
Left side:
Distribute – -(-4 + s) = -1/3(12s – 21) Distribute –1/3
4 – s = (-12/3)s + (21/3)
Simplify
4 – s = -4s + 7
Add s
4 = -3s + 7
Subtract 7
-3 = -3s
Divide by -3
1=s
50 points
Spiro
10 points
Spiro the Spectacular chooses a number and
then performs these four steps, in order.
• Add 3
• Multiply by 2
• Subtract 13
• Divide by 3
If Spiro starts with 5, what is his ending number?
•
•
•
•
Add 3
Multiply by 2
Subtract 13
Divide by 3
10 points
Start with 5:
5+3=8
2(8) = 16
16 - 13 = 3
3/3 = 1
Spiro
20 points
Spiro the Spectacular chooses a number and
then performs these four steps, in order.
• Add 3
• Multiply by 2
• Subtract 13
• Divide by 3
Spiro says, “Wow! My ending number is 9!” Use
backtracking to find his starting number.
•
•
•
•
Add 3
Multiply by 2
Subtract 13
Divide by 3
Backtrack:
• Multiply by 3
• Add 13
• Divide by 2
• Subtract 3
20 points
End with 9:
(9)(3) = 27
27 + 13 = 40
40/2 = 20
20 – 3 = 17
Spiro
30 points
Spiro the Spectacular chooses a number and
then performs these two steps, in order.
• Multiply by 5
• Subtract 10
Which of the following methods can Spiro use to find your
starting number?
1. Divide the ending number by 5 and then add 10
or
2. Add 10 to the ending number and then divide by 5.
Starting number: 3
• Multiply by 5 = (3)(5) = 15
• Subtract 10 = (15-10) = 5
Ending number: 5
1. Divide the ending number by 5 and then add 10
5/5 = 1 + 10 ≠ 3
2. Add 10 to the ending number and then divide by 5.
5 + 10 = 15/5 = 3
The second one is correct.
30 points
Spiro
40 points
Spiro the Spectacular chooses a number and
then performs these four steps, in order.
• Divide by 3
• Subtract 8
• Multiply by 4
• Add 3
If Spiro’s starting number is n, write an
expression for his ending number.
Starting number: n
•
•
•
•
40 points
Divide by 3
Subtract 8
Multiply by 4
Add 3
n/3
(n/3) – 8
4((n/3) – 8)
4((n/3) – 8) +3
Spiro
50 points
Spiro the Spectacular chooses a number and
then performs these four steps, in order.
• Divide by 6
• Subtract 8
• Multiply by 2
• Add 3
1. If Spiro starts with 6, what is his ending number?
2. If Spiro ends with 9, what is his starting number?
3. If Spiro’s starting number is n, write an expression for his
ending number.
There should be 3 answers.
•
•
•
•
Divide by 3
Subtract 8
Multiply by 2
Add 3
1. Start with 6:
(6/3) = 2
2 – 8 = -6
(-6)(2) = -12
-12 + 3 = -9
50 points
1. Follow each step.
2. Use backtracking.
3. Follow each step using n.
2. End with 9: 3. Start with n:
9–3=6
2((n/3) – 8) + 3
(6/2) = 3
3 + 8 = 11
(11)(3) = 33
Rewrite
10 points
Rewrite the expression as an equivalent
expression without parentheses.
3(x + 3)
3(x + 3) = 3x + 9
10 points
Rewrite
20 points
Rewrite the expression as an equivalent
expression without parentheses.
6(2x + 4)
6(2x + 4) = 12x + 24
20 points
Rewrite
30 points
Rewrite the expression as an equivalent
expression without parentheses.
(1/2)(4m + 6) + 2
(1/2)(4m + 6) + 2 = 2m + 3 + 2
= 2m + 5
30 points
Rewrite
40 points
Rewrite the expression as an equivalent
expression without parentheses.
(3/2)(2m + 4) + 9
(3/2)(2m + 4) + 9 = 3m + 6 + 9 = 3m +15
40 points
Rewrite
50 points
Rewrite the expression as an equivalent
expression without parentheses.
 3
5  6
 n  6 n
 2
6 10

 3
5  6
(5)(6)
(5)(6) 3
n
 n
 n  6 n 
 2
6 10
(6)(10)
(6)(1) 2
30
30 3
1
3
n
 n  n 5  n
60
6 2
2
2

 n  5

50 points

Random
10 points
Solve for m using the number line:
5m + 6 = m + 18
5m + 6 = m + 18
m
m
Subtract 6
Divide by 4
10 points
m
m
m
m
18
4m + 6 = 18
4m = 12
m=3
6
Random
20 points
Solve the equation using squares and triangle:
x
1
5x + 6 = 3x + 10
5x + 6 = 3x + 10
3 triangles and 10 squares
5 triangles and 6 squares
x
x
x
x
x
1
1
1
1
1
1
Since there are 3 triangles on
the right side and 5 on the
left, we can cancel out 3 of
the triangles.
Divide by 2
20 points
2x = 4
x=2
x
=
x
x
1
1
1
1
1
1
1
1
1
1
Since there are 6 squares on the left and
10 on the right, we can cancel out 6 of the
squares.
Random
30 points
Solve for x:
x
  2  2
2

x
  2  2
2
x
  4
2

x 8

30 points
Random
40 points
What is the mistake in this solution?
-3(v - 8) = 5(v + 1)
-3v - 24 = 5v + 5
-24 = 8v + 5
-29 = 8v
-29/8 = v
The - was not distributed properly.
-3(v - 8) = 5(v + 1)
-3v + 24 = 5v + 5
24 = 8v + 5
19 = 8v
19/8 = v
40 points
Random
50 points
Solve for s:
11s + 7 = 8s - 17
Solve for s:
Left side:
Subtract 7
Divide by 3
50 points
Right side:
11s + 7 = 8s - 17
3s + 7 = -17
3s = - 24
s=8
Subtract 8s
FINAL JEOPARDY
Solve for x:
2(m + 3) – 4(2m + 1) = m – 3(2 + m)
Left side:
Solve for x:
Right side:
Distribute 2
2(m + 3) – 4(2m + 1) = m – 3(2 + m)
Distribute -3
Distribute -4
2m + 3 – 4(2m + 1) = m – 6 – 3m Subtract: m – 3m
Subtract: 2m – 8m 2m + 3 – 8m – 4 = -2m – 6
Subtract: 3 - 4
-6m + 3 – 4 = -2m – 6
Add 1
-6m – 1 = -2m – 6
-6m = -2m - 5
Add 2m
Divide by -4
-4m = -5
m = -5/-4
Simplify
m = 5/4