Algebra Basics Review

The Real Number System

100

Which is the smallest set of real numbers that contains the value below? -18/6

Integers

200

Which set contains the value below? Square root of 50

Irrational numbers

300

The set below only contains which types of numbers? -1,5, .5, 15, 3.75, 36,100

Rational Numbers

400

What set of numbers does 0 belong to?

Whole

500

Which of the following is true? A. All integers are whole numbers. B. All irrational numbers are integers . C. All whole numbers are integers. D. All rational numbers are natural numbers.

C

Properties

100

Name the property x(y-3)=xy-3x

Distributive Property

200

Name the property (a+b) +0 = (a+b)

Identity Property

300

Name the Property 5(1/5) = 1

Inverse

400

(3+5)+7=(5+3) + 7

Commutative

500

Name the property. 5+(2+9) = (5+2)+9

Associative Property

Simplify

100

Simplify 4+2³ - |-4|

8

200

Simplify 3² - 3*[(5² -9) / 2]

-15

300

Evaluate a^2 - (b+c) a = -8 b= 17 c=21

26

400

simplify 10-4(2x+7)

-8x - 18

500

Simplify 2x-4y+6+3x-9y-4

5x-13y+2

Simplify 2

100

a² - ab     when a = -3 and b = -2

3

200

a² - ab     when a = -3 and b = 2

15

300

-a² - ab     when a = -3 and b = -2

-15

400

-a² - ab     when a = 3 and b = -2

-3

500

2 xx 6/(3*x^2) when x = -1

4

Translate

100

Translate the statement One less than twice a number

2x-1

200

Translate the statement below Five times the difference of a number and 3 is 17.

5(x-3)=17

300

Four more than twice a number is 16

2x+4=16

400

six less than fives times a number 

5x-6

500

Translate the statement Five more than the quotient of a number and eight is 42

5+ n/8 = 42