Alg Unit 1 Test Review (real number)

Rational/Irrational

100

Select all of the rational numbers:

A. √32

B. pi

C. 2.425

D. 0.3333...

E.  ³√512

C, D, & E

200

What is the definition of an irrational number?

A number that cannot be converted to a fraction.

300

True or False:

The sum of two rational numbers is always a rational number

True

400

True or False:

The product of a rational and an irrational is always irrational.

False, because of 0

500

The length of a rectangle is (2 - √5) and the width is (3 + √5). Determine whether the perimeter is rational or irrational.

Rational

Simplifying Radicals

100

Simplify: √45

3√5

200

Simplify: ∛54

3∛2

300

Simplify: √72m²

6m√2

400

Simplify: ∛16x⁵

2x∛2x²

500

Simplify: -4√80w⁶z⁵

-16w³z²√5z

Polynomial Basics

100

Name the polynomial by number of terms:

20x³ 

monomial

200

What is the degree of the polynomial:

-3x³ + 2x⁴ + 12x

4 or quartic 

300

Put the polynomial in standard form:

-9x² + 3x⁵ - 22x + 12

3x⁵-9x²- 22x + 12

400

Write an example of a binomial with a degree of 8

3x⁸ - 2x

500

Write an example of a trinomial with a degree of 5

4x⁵ - 2x + 1

Operations with Radicals

100

-5√3 - 3√3

-8√3

200

-2√45 -3√20 

-12√5

300

-3√5 + 2√5

-√5

400

4√15(√6 +√5)

12√10 + 20√3

500

Determine the area of a rectangular flag that has a length of (7 + √6) and a width of(1 + √6). 

13 + 8√6 units²

Operations with Polynomials

100

(5p² - 3)+(2p² -3p³)

-3p³ +7p² - 3

200

(4n - 3n³) - (3n³ + 4n)

-6n³

300

2x³(2x³ +5x - 4)

4x⁶+10x⁴ - 8x³

400

(6p + 8)(5p - 8)

30p² - 8p - 64

500

Determine the missing side length of the triangle given the information below:

Side 1: 3x + 4

Side 2: 2x² - 9

Perimeter: 3x² -2x - 5

x² - 5x