Unit 1 Quiz Review

Rational vs Irrational

100

What is the definition of rational?

A number that can be written as a fraction

200

What is the definition of irrational?

A non-terminating, non-repeating decimal, or a number that cannot be written as a fraction

300

Is the product of the square root of 3 and the square root of 12 rational or irrational?

Rational

400

Is the sum of the square root of 7 and the square root of 7 rational or irrational?

Irrational

500

Is the product of two irrational numbers always irrational? Use two examples to prove your claim

It is not always irrational

Properties of Algebra

100

5x+7+8x=5x+8x+7

Commutative Property (of Addition)

200

16(x-2)=16x-32

Distributive Property

300

(4+x)+3x=4+(x+3x)

Associative Property

400

5x+9=13

5x+9-9=13-9

5x+4

Addition Property of Equality

500

8x=7

(1/8)*8x=(1/8)*7

x=(7/8)

Multiplication Property of Equality

Exponent Properties

100

123456⁰

1

200

x² _{* x}⁷

x⁹

300

x¹⁰

^_________

x²

x⁵

400

(x²)⁷

x¹⁴

500

x⁸​

____

x¹²

​​​

1

___

x⁴

Rationalizing Denominators

100

See White Board

(1/sqrt(3))

sqrt(3)/3

200

See white board

7/sqrt(5)

7sqrt(5)/5

300

See White Board

20/sqrt (10)

2sqrt(10)

400

See white board

3/sqrt(6)

sqrt(6)/2

500

See white board

9/sqrt (15)

3sqrt(15)/5

Simplest Radical Form

100

sqrt(8)

2sqrt(2)

200

sqrt(300)

10sqrt(3)

300

sqrt(24)

2sqrt(6)

400

sqrt(128)

8sqrt(2)

500

sqrt(48)

4sqrt(3)