Pre - Algebra 3rd Quarter Review

Scientific Notation

100

What it is called when expressing an extremely large or extremely small number to a power of ten.

What is Scientific Notation

200

These are the numbers the coefficient must be between when using scientific notation. 

What are 1 and 10

300

Very small numbers are expressed to this type of power. 

What is negative.

400

This is the direction you move the decimal if a number written in scientific notation has a positive exponent.

What is the right

500

This is what you do with the exponents when dividing in scientific notation. 

What is subtract

Exponent Rules

100

The product rule states that you do what with the exponents when multiplying numbers with the same base.

What is add them

200

What you do with the exponents when dividing numbers with the same base, using the quotient rule.

What is subtract

300

What you do with the exponents when you have a power raised to another power, according to the power rule

What is multiply

400

What any number raised to the power of zero equals.

What is 1

500

What you do with a number when it is raised to a negative exponent.

What is flip the numbers (find the reciprocal) and change the sign of the exponents. 

Pythagorean Theorem

100

The type of triangle in which the Pythagorean Theorem is used to find the measurements of missing side lengths. 

What is a right triangle

200

The short sides of a right triangle

What are legs

300

The longest side of a right triangle that is always found across from the right angle. 

What is hypotenuse

400

The Pythagorean Theorem 

What is a² + b² = c²

500

The operation used when finding the length of a leg of a right triangle. 

What is subtraction

Practice Problems

100

Standard form of 1.234 X 10⁵

What is 123,400

200

The value of 2.7896 X 10^-3 

What is .0027896

300

(4x²)^-3

What is 1/64x⁶

400

(3a²b⁷)⁵  divided by ab⁴

   

What is 243a⁹b³¹

500

The length of a side of a right triangle where one leg is 3 cm and the hypotenuse is 5 cm. 

What is 4 cm

More Practice

100

The measure of the hypotenuse of a right triangle with leg lengths that are 6ft and 8ft. 

What is 10 ft

200

(7.4 x 10^-3) + (0.43 x 10^-3)

What is 7.83 X 10^-3

300

(7 x 10⁵⁾ - (5.6 x 10⁴)

What is 6.44 x 10⁵ or 644,000

400

(-4.5 x 10⁴) x (6.9 x 10³)

What is -31.05 x 10⁷

500

(15x⁵y⁶z) / (5x^-3y⁴z)

What is 3x⁸y²