Solve Equations
x\times11-7=70
x=11
9999^0\times 1^9999\times 9999^1\times 0^9999
9999^0\times 1^9999\times 9999^1\times 0^9999
=1\times 1\times 9999\times 0
=0
True or false? If a whole number is not prime, then it must be composite.
False! ex. 1
A number of bacteria are placed into a container. One second later each bacterium divides into two, the next second each of the resulting bacteria divides into two again, etc. After one minute, the container is full. After how many seconds was the container half full?
59 seconds
t/12=102-22
t=960
z+9(z+12)
10z+108
Is 777,777,777 prime or composite? Explain!
composite! 3|777,777,777
How many pets has Mr. Jajodia had in his life? What were they?
2: Dog and Hamster
I have two dogs, one of which is 37 pounds heavier than the other. If the two dogs together weigh 119lbs, how much does the lighter one weigh?
x+(x+37)=119
x=41
41 lbs.
100-(100x-x)
100-99x
Is 161 prime or composite? Explain!
Composite! 161=7*23
John spent \frac2 5 of his paycheck on a video game, and \frac2 5 of the remaining money on snacks. If he had $34 left, how much did he have to begin with?
$170
v+v+v=80-(30-1)
v=17
9999 \times 9999 + 9999
9999^2+9999
=9999(9999+1)
=9999(10000)
=99,990,000
Find GCF and LCM of 14, 18, 20
GCF = 2 and \text{LCM} = 2^2 \times 3^2 \times 5 \times 7 = 1260
A perfect number is a number that is equal to the sum of all of its factors except the number itself. For example, 6=1+2+3, making 6 the smallest perfect number. Find the next smallest perfect number!
28
Write & solve an equation.
I am now three years younger than twice what my age was six years ago. How old am I now?
Let x= my age now.
x=2(x-6)-3
x=15
9(z+2)+2(z + 12)
11z+31
Find the GCF & LCM of 1134 and 1215
GCF(1134, 1215) = 81
LCM(1134, 1215) = 17,010
A granola bar company includes a coupon for a free item in every 12th bar, and a coupon for two free items in every 17th bar. How often do they include both coupons with the same bar?
Every 204 Bars