Gems
Exponents
Radical expressions
Approximating irrational numbers
Just for fun
100

5×(3^2−2^3)+6

11

100

3^2 x 3^3

3^5 

100

What is the square root of 49

7

100

What is the approximate value of the square root of 2

1.41

100

What fruit is known for having seeds on the outside, rather than the inside?

  • The strawberry is the only fruit that has its seeds on the outside. Each strawberry has about 200 seeds!
200

(8+2^3)÷(4×3)+5

5.3...

200

Simplify (x^3)^4

x^12

200

Simplify the square root of 75

5 times the square root of 3

200

Simplify the square root of 72

6 times the square root of 2

200

In which ocean can you find the Bermuda Triangle?

  • The Bermuda Triangle is located in the Atlantic Ocean, roughly between Bermuda, Florida, and Puerto Rico.
300

3^2+(2^2×5)

29

300

Simplify 5^-2

any number to a negative exponent equals one over that number to a positive exponent.

300

2 times the square root of 4 times 9 times the square root of 6

18 times the square root of 24, simplify further in class

300

Simplify the square root of 25 times the square root of 2

5 times the square root of 2

300

What is the rarest blood type in humans?

AB negative is the rarest blood type, occurring in less than 1% of the population.

400

3x-9=2x+4^2

x=5

400

8^5/8^2

8^3

400

the square root of 2 times the square root of 8

4

400

Simplify the square root of 45

3 times the square root of 5

400

What animal can hold its breath longer than a dolphin?

  • A sloth can hold its breath longer than a dolphin! Sloths can slow their heart rate and hold their breath for up to 40 minutes underwater, while dolphins can only hold theirs for about 10 minutes.
500

Solve for x: 9x+3=21

x=2

500

simplify 2x((2x^2)^2)

Show in class!

500

The cubed root of 27

3

500

Simplify the square root of 98

7 times the square root of 2

500

What was the original use of bubble wrap?

  • Bubble wrap was originally invented to be used as wallpaper! The creators thought it would make a cool textured wall covering before realizing its protective packaging potential.