Today's problems, solutions, scores, and teams for Meet3

 TODAY'S PROBLEMS

Heritage team  DO THIS 10 minutes! Go!
Friendly Hills - (check out the answers)

1. Simplify 3(x+4) - 2(8+x) + 10 - x(x+3)

2. How many centimeters are in the sum of 115mm and 20 cm and 1m?

3. In Canada the speed limits are in Km/hr. If six tenths of a mile is one kilometer, what speed is 90 km /hr in miles per hour?

4. Write the absolute value inequality for 3 ≤ x ≤ 9

5. Find x :

















ANSWERS

1. 3(x+4) - 2(8+x) + 10 - x(x+3)
3x+12 + -16 + -2x + 10 + -x² + -3x
Combine the bold terms above to get
-x²  - 2x + (12 + -16 + 10)
Then add to simplify
-x² -2x + 6

2. Convert all to cm.
11.5 cm + 20 cm + 100 cm
Simplify to 131.5 cm

3. 90 km/hr x .6mi/km (since .6mi = 1 km I'm really just multiplying by one!)
With a km in the numerator and a km in the denominator, they cancel out.
90 x .6 mi/h = 54 mi/h or 54 mph So when the speed limit in Canada says 90, that's in Km/hr and means 54 mph.

4. Draw the inequality on a number line:

|--|--|--|--|--|--|--|--|--|
0 1 2 3  4 5  6 7  8 9
Absolute value can be thought of as "distance". You see that the midpoint is 6, so this graph shows all the numbers within a distance of 3 from 6. Hence: |x-6| ≤ 3 (or |6-x| ≤ 3)
 Let's check:  3, 6 and 9 should be true. 2 and 10 should be false . Yep!

5. The straight line angle composed of 2x + 90^o + 3x +18^o must = 180^o
Combine like terms: 5x +108^o= 180^o
Subtract 108^o from both sides: 5x =  72^o
Divide both sides by 5:  x = 14.4<sup>o

FRIENDLY HILLS</sup>

Frank Sullivan	6	39.7
Cyrus Martin Risch	2	19.0
Noelle Wang	4	17.5
Oscar Halverson	4	17.0
Naomi Spande	2	12.3
Nick Wendt	0	11.7
Oslo Martin Risch	0	9.0
Lydia Houge	4	7.3
Dain Dolan	0	6.0
Aiden Lee		5.0
Nicholas Reisig	0	4.0
Aidan Dolan	0	3.0
Lily Pince		1.0
Emma Stevenson	2	0.7
Sophia Schomer		0.0
Jake Lancaster	?	0.0

HERITAGE

Aiden Jacobs	28.7
Anthony Rocke	24.7
Abbey Dzurilla	24.3
Steve Nickson	18.3
Cullen Sander	11.0
Skylar Janssen	8.7
Ben Nickson	4.5
Angel Hernandez	2.0