Exponent Jeopardy! Kimpton

Exponent Rules

100

x² times x³

What is x⁵?

200

4x times 5x³

What is 20x⁴

300

(6z⁹ * 8z³)/(27z²)

(16z¹⁰)/9 or 1.77z¹⁰

400

(-2xy^-2)(5xy^-1)(x³y)

-10x⁵/y² or -10x⁵y^-2

500

((4xy)-2x^-2)/2xy^-3

What is -4y⁴/x²?

Scientific Notation

100

1000 written as a power of 10.

What is 10³?

200

Write 45,300 in scientific notation.

What is 4.53 x 10^-4

300

Write 0.0067 in scientific notation.

What is 6.7 x 10^-3

400

Write 4.11 x 10⁶ in standard notation

4,110,000

500

Which number is larger?

.65 x 10^-5

6.5 x 10^-7

.65 x 10^-5

Order of Operations/Other

100

y= -3x +4

If x = -5

y = 19

200

-3x(x²-3) +(10/2 +4)²

-3x³+9x +81

300

DAILY DOUBLE

−4−(2+4(−6)−4 +

28

400

(−7−5)÷(−2−2−(−6))

-6

500

2·(−3)+3−6[−2−(−1−3)]

-15

More Exponent Rules

100

Write using positive exponents: 19^-2

What is 1/19²

200

Simplify 4⁴ times 4^-5 and state your answer using positive exponents.

What is 1/4?

300

Simplify -12x⁴y^-3/6x^-3y

What is -2x⁷/y⁴?

400

Evaluate (-2x³y^-1)(-3xy^-3) and write using positive exponents.

What is 6x⁴/y⁴?

500

(x²·(x⁴)⁵) / x⁷

x¹⁵

Pythagoras?

100

What is the longest side of a right triangle?

Hypotenuse 

200

What is the Pythagorean theorem?

a²+b² = c²

300

Draw a triangle. 

a = 12 and b = 9. How long is side c?

c = 15

400

At a mall, the distance shoppers travel on an escalator is 52 feet and the escalator takes the shoppers up to the second floor which is at a distance from the wall at 20 feet. How tall is the escalator?

48 feet

500

Molly is flying a kite. The length of the kite string is 55 feet and she is positioned 40 feet away from beneath the kite. About how high is the kite?

37.7 feet