Santa's Sleigh Algebra
Santa’s sleigh holds x toys and y gifts. If the sleigh can carry 50 total items, and toys are twice as heavy as gifts, how many toys and gifts fit?
x=20, y=10
Santa didn’t need to carry 50 items. The elves magicked 10 extra gifts to teleport directly under the tree!
Rudolph runs faster than 5 km/h, but slower than 15 km/h. Write the inequality
5<x<15
Rudolph only runs slower because he’s waiting for the cookies and milk!
An elf uses the function f(x)=2x+4 to wrap x presents. How many presents are wrapped if x=5?
14
The wrapping paper magically doubled, so there are actually 28 presents wrapped
The elves build snowmen in a pattern: 3, 6, 9, 12... What is the 8th term?
24
The snowmen are forming a marching band. The 8th snowman is the drummer!
On the 5th day of Christmas, a partridge lays eggs in arithmetic progression: 2,4,6,… How many eggs on day 5?
10
By day 5, the partridge was tired and asked Santa’s reindeer to deliver the eggs
The elves decorated 5x+15=40 candy canes. How many candy canes were decorated by each elf?
5
The candy canes multiplied when touched by Elfie the Mischief Elf!
Santa must split 60 candy bars unevenly among his 3 reindeer, but no reindeer gets less than 10. What inequality describes this?
x>10
Blitzen ate 10 candy bars before Santa even counted!
The function g(x)=x2−1 describes Frosty’s snowball growth. If x=4, how big is the snowball?
15
Frosty sneezed and it grew into a giant snowball
The sequence 1, 4, 9, 16 describes the number of ornaments on each tree. What is the rule for this sequence?
n^2
Each tree grows more ornaments whenever Santa jingles his bell!
A geometric progression starts with 1 ornament and triples each day. How many ornaments are there on day 4?
27
The ornaments glowed so brightly they lit up the whole North Pole!