Solutions, Scores and Team Assignments for Meet 2

1. 4x-3=9 Can be solved by 5th graders using trial and error.
   Try a 2 for x. 4 x 2 - 3 = 5, not 9.
   Try a 3 for x. 4 x 3 - 3 =  9 Hurrah!. Answer: x = 3

2. Find the midpoint between j and -7.
Simply average them
   j + -7
      2

3. What's the missing value? The mean is 6. Data is 3,3,4,5,5,5,5,7,8,8,10
  Add 'em up 63. There are 12 numbers (including the missing one), with a mean of 6. Hence they must total 12 x 6 = 72. The total was 63, so the missing number must be 9. (72 - 63)

4. Express 512 as a^b two ways. Answers: 2⁹ or 8³

5. The big triangle had sides of 12 and 30. The little one had sides of x and 12.
   12 is 2/5 of 30, so x is 2/5 of 12 or 24/5 or 4.8. The perimeter of the little triangle is given to us as 26.4mm so the third side is 26.4 - 12 - 4.8 or 9.6. The missing side of the big triangle is therefore 5/2 x 9.6 = 24 so the big perimeter is 12+30+24=66

1. |2x - 1 | = 5 so 2x-1 is either 5 or -5. If 2x-1 = 5, x=3. If 2x-1 = -5, x = -2.
So the two solutions are 3 and -2

2. Simplify 2³x4^-1 = 8 x ¼ = 2

3. Express 0.000205 in scientific notation. Move the decimal until it's past the first non-zero digit. 2.05 ( You had to move the decimal point 4 places) so the answer is 2.05 x 10^-4

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How did I know the exponent should be negative? Because 0.000205 is a small number less than one.
2.05 x  10⁴ would be a BIG number: 20500

4. x+2  = x - 5
     5           3
Cross multiply 3(x + 2) = 5(x - 5)
Distribute         3x + 6 = 5x -25
subtract 3x from both sides  6= 2x -25
add 25 to both sides              31 =2x
divide both sides by 2         15.5 = x

5. Area of a trapezoid is 56. It is enlarged by a scale of 3/2. What's the new area?
    Area is a two-dimensional measurement. If the length is multiplied by 3/2, the height is also multiplied by 3/2. Therefore the new area is 56 x 3/2 x 3/2 or 56 x 9/4 = 126cm²

Heritage

Gr	TEAM ROSTER	P2b	P2c	M2r
8	Kathryn Lewis	8	4	26.7
6	Quinn Hendel	6	2	20.7
5	Noah Ledermann	6	2	20.7
5	Anna Crain	2	2	18.0
5	Ashton Rocke	2	0	15.3
5	Caleb Koury	2	0	12.0
6	John McCarten	4	2	10.7
5	Zoe Lewis	2	0	10.7
7	Jonathan Neumann	2	2	7.3
6	Gray Gallant	2	2	7.3

Friendly Hills
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Grade	Name	P2b	P2c	M2r
8	Thomas Hoffman	6	6	37.3
8	Nina Kessler	6	10	34.0
8	Kallie Frett	10	8	33.3
8	Oscar Halverson	6	14	32.0
8	Cyrus Martin Risch	8	10	32.0
8	Nick Wendt	8	6	30.0
7	Shakti Gurung	10	8	29.3
7	Stella Warwick	4	6	28.7
8	Victoria Dzurilla	10	6	28.0
7	Claire Newmark	8	2	26.7
6	Luke Reisig	4	6	26.0
7	Katherine Meyers	10	2	25.3
7	Will Gannon	6	4	22.0
8	Sophia Schomer	6	2	21.3
7	Lucy Palmer	2	2	21.3
5	Tyler Demulling	4	2	21.3
5	Will Geddes	4	2	20.7
7	Erik Essen	4	2	20.3
7	Miles Dunn	10	6	19.3
8	Daniella Sanchez	2	2	17.3
6	Lucia Schomer	2	0	16.7
7	Duy Hoang	2	4	15.3
5	Henry Stein	4	0	15.3
5	John Joyce	4	2	14.0
5	Landon Monsour	4	2	14.0
5	Vanshika Pallerla	2	0	14.0
5	Jack Grosenick	4	2	13.3
8	Tommy Larsen	4	2	12.7
6	Elyse Jahn	4	0	12.7
6	T J Kronschnabel	2	0	12.7
5	Nolan Manternach	4	0	11.3
7	Charles Cheesebrough	2	0	10.7
6	France Edrian Ditalo	2	0	10.0
6	Mia Cheesebrough	2	0	9.3
6	Brittany Sanchez	2	0	8.7
5	Ellie Ludwig	2	4	8.7
6	Yasmin Mahamed	2	0	8.0
5	Quinn Fraley	4	0	7.3
5	Bennett Fritz	4	0	7.3
8	Rediet Dereje	2	0	6.7
5	Anna Kessler	2	0	5.3
5	Elise Newmark	2	0	4.7
5	Edy Halverson	0	2	2.7
5	Sahasra Juvva	0	0	0.0
5	Ellie Donovan	0	0	0.0
5	Samantha Rousu	0	0	0.0

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