Module 1 Jeopardy Review

Scientific Notation

100

Write 4,500,000 in scientific notation

What is 4.5 x 10⁶?

200

Write 7.2 x 10^-4 in standard form

What is 0.00072?

300

Simply the follow expression and write your answer in scientific notation:

(3 x 10⁴)(2 x 10³)

What is 6 x 10⁷?

400

Simplify the following expression and write your answer in scientific notation:

(8.4 x 10⁷) / (2.1 x 10³)

What is 4 x 10⁴?

500

A computer processes 2.5 x 10⁶ calculations every second. How many calculations will it process in 4 x 10³ seconds? Write your answer in scientific notation.

What is 1 x 10¹⁰?

Properties of Exponents

100

Simplify (x⁴)(x³)

What is x⁷?

200

Simplify (m⁹)/(m⁴)

What is m⁵?

300

Simplify (2x³)⁴

What is 16x¹²?

400

Simplify [(x^-3)(y⁵)]/(y^-2)

What is (y⁷)/(x³)?

500

Simplify completely using only positive exponents:

(3x²y^-1)³/(9x^-3y²)

What is (x⁷)/(y⁴)?

Perfect Squares and Cubes

100

The square root of 81 is ____.

What is -9 and 9?

200

The square root of 121 is _____.

What is -11 and 11?

300

Which of the following IS NOT a perfect square?

a. 64

b. 100

c. 121

d. 150

What is 150?

400

The cubed root of 125 is ____.

What is 5?

500

The cubed root of _____ is 12.

What is 1,728?

Pythagorean Theorem

100

A right triangle has legs of 6 and 8 units. Find the hypotenuse.

What is 10 units?

200

A right triangle has a hypotenuse of 13 units and one leg of 5 units. Find the missing leg.

What is 12 units?

300

A right triangle has legs that are each 5 units long. Find the hypotenuse.

What is 5 times the square root of 2?

400

A 15-foot ladder leans against a wall. The bottom of the ladder is 9 feet from the wall. How high up the wall does the ladder reach?

What is 12 feet?

500

A rectangular park is 20 meters long and 15 metes wide. You walk diagonally from one corner to the opposite corner. How far do you walk?

What is 25 meters?

Rational and Irrational Numbers

100

3/8 is a _______ number.

What is rational?

200

The square root of 18 is a _______ number.

What is irrational?

300

Which of the following numbers are irrational?

a. 0.75

b. The square root of 49

c. 11/4

d. The square root of 30

What is the square root of 30?

400

Which statement is ALWAYS true?

a. The sum of two irrational numbers is irrational.

b. The sum of two rational numbers is rational.

c. The product of two irrational numbers is irrational.

d. Every square root is irrational.

What is "The sum of two rational numbers is rational."?

500

A student says "The square root of 64 is irrational because any number with a square root symbol is irrational."

Explain the student's error and correctly classify the square root of 64.

What is "The square root of 64 is rational because -8 and 8 are rational numbers."?