Coins and Ropes
DAILY DOUBLE
What are the three ways to solve systems of equations?
Substitution, Elimination, Graphing
How many Equations do you need in order to solve Uniform motion problems?
3
x2 + 3x divided by x
x+3
DART JACKPOT
Solve for X
x2 + 6x + 8 = 0
x = -4, -2
How do you find:
Surface Area of a Sphere?
Volume of a Sphere?
Surface Area: 4πr2
Volume: 4/3πr3
DART JACKPOT:
A 100 foot rope was cut into two pieces. One of the pieces was 5 feet shorter than 2 times the length of the other. How long were the two pieces?
65 ft and 35 ft
DART JACKPOT:
It took Emily 60 hours to get from the beach to the island with her motor, and 100 hours to get back to the beach only using his sails. How far was it if her speed with the motor was 2 miles per hour faster than her speed with the sails?
300 miles
SOLVE FOR X
((x - 4)/2) - ((x + 5)/3) = 6
x = 58
STRESS BALL JACKPOT
x2 = 121
x = 11, -11
STRESS BALL JACKPOT:
Write an example of a graph of all of these functions:
Linear:
Quadratic:
Cubic:
Square Root:
Absolute Value:
Linear: Needs to be a line
Quadratic: Needs to be a U. Negatives flip
Cubic: U but Down on the left, up on the right. Flips sides if negative.
Square Root half of a U turned on its side.
Absolute Value: Always a V
STRESS BALL JACKPOT:
A car flipped on the interstate. Everyone in the cars was alright, but the jar containing money the driver was saving broke in to pieces. Nickles and Quarters were spread all over the road. The driver knew that he had $62.60 and that he had 452 coins exactly. How many of the coins were Nickels?
252 Nickels
Ted drove at 60 miles per hour, so it took him an hour less to get from her house to the city than it took Craig because Craig only drove at 50 miles per hour. How far was the trip?
300 miles
DART JACKPOT:
((x2 + x - 20)/(x2 +6x -16)) / ((x2 - 2x -8)/(x2 +10x+16)
(x+5)/(x-2)
x2 + 19x = -70
x = -5, -14
Tell me what numbers you are narrowing out as you go through to test what number family a specific number falls into.
Real: Gets rid of imaginary numbers
Rational: Gets rid of all numbers that cannot be written as fractions
Integer: Gets rid of all decimal Numbers
Whole: Gets rid of all Negative numbers
Natural/Counting: Gets rid of Zero
Gold costs $422 a gram, and bronze costs $4 a gram. if Cesar had an 15 gram box of both that was $2568, how many grams of bronze were there?
9 grams
DAILY DOUBLE
Bart drove from his house to Target at 40 miles per hour. His car broke down when he got there, so he had to walk all the way back home. He could only walk at 4 miles per hour. Find his walking time if it took him 9 hours longer to walk than it did to drive.
Bonus: How far away does Bart live from Target?
Time walking: 10 hours
Distance 40 miles
(x3 + 6x2 + 6x + 5) Divided by (x+5)
x2 + x + 1
x2 + 13x - 4 = 64
x = 4, -17
1,000 POINT SHOT
What is the name of an easy way to test for a function.
Vertical Line Test
Greg found a bag full of money on the side of the road. in the bag was $9,250 in only 5 and 10 dollar bills. He counted the bills and found that there were 1280 bills total. How many of the bills were 10 dollar bills?
570 $10 bills
Gretchen had a 40 meter head start. How long did it take Ricky to catch up if Ricky ran at 10 meters per second while Gretchen ran at 6 meters per second?
10 Seconds
STRESS BALL JACKPOT:
(x3 - 4) Divided by (x - 4)
x2 + 4x + 16 + 60/(x-4)
3abx3 -12abx2 - 63abx = 0
Solve for x. There are three answers.
x = 7, -3, 0
DART JACKPOT:
Albert and Eugene are best friends. Albert lives 7 miles Northeast of their favorite place to hang out, and Eugene lives 24 miles Northwest of the same spot. How far do Albert and Eugene live away from eachother?
25 miles