NSE Review

Classifying Numbers and Square Roots

100

Classify the number with its most specific number system:

7

Natural Number

200

Classify the number with its most specific number system:

1/8

Rational Number

300

Classify the number with its most specific number system: 

pi

Irrational Number

400

Classify the number with its most specific number system:

-sqrt(36)

Integer

500

Classify the number with its most specific number system:

0

Whole Number

Equations

100

These are the actions you take to solve an equation

Properties of equality

200

This property is used when multiplying an outside term by terms on the inside of a grouping.

Distributive Property

300

1/3(2x-5)=33

x=52

400

-4-3x+10=-4+2x

x=2

500

(2x)/3+x/2=5/6

x=5/7

Simplifying Radicals

100

Rewrite in simplest radical form:

sqrt(18)

3sqrt(2)

200

Rewrite in simplest radical form:

sqrt(24)

2sqrt(6)

300

Rewrite in simplest radical form:

sqrt56

2sqrt(14)

400

Rewrite in simplest radical form:

sqrt(96)

4sqrt6

500

Rewrite in simplest radical form:

sqrt245

7sqrt5

Radical Operations

100

TRUE or FALSE:

In order to add or subtract radicals, you must have the same radicand.

TRUE

200

TRUE or FALSE

In order to multiply or divide radicals, you must have the same radicand.

FALSE

300

sqrt32+sqrt18

7sqrt2

400

sqrt(99)-sqrt(44)

sqrt(11)

500

sqrt(72)-sqrt(98)

-sqrt(2)

Rationalizing the Denominator

100

When must we rationalize a denominator?

When there is a radical in the denominator.

200

How do we rationalize a denominator?

Multiply both the top and bottom by the denominator.

300

Rationalize:

10/sqrt2

5sqrt(2)

400

Rationalize:

6/sqrt5

(6sqrt5)/5

500

Rationalize:

6/sqrt(18)

sqrt(2)