Foundations of Pre-Algebra Review

Real Number Operations

100

-4 + 17

13

200

63 ÷ (-9)

-7

300

√49

What is 7 or a Perfect Square?

400

This number system is made up of all the points on

the number line. These are numbers used in

every day life.

What are REAL NUMBERS?

500

-9  ₊ 14 

5

Math Properties

100

5 x ¹/₅ = 1

What is the Inverse Property?

200

4 + 7 = 7 + 4

What is the Commutative Property of Addition?

300

3 + (4 + 2) = (3 + 4) + 2

What is the Associative Property of Addition?

400

Name the two (2) properties being shown here:

7 x 1=7

and

0 + 21 = 21

What are the Identity Properties of Multiplication and Addition?

500

8(3x + 7) = 24x + 56

What is the Distributive Property?

Classification of Real Numbers

100

Classify the below number with all of the below labels that fit: ²/₃

A) Natural Numbers
B) Whole Numbers
C) Integers
D) Rational
E) Irrational
F) Real

D and F

200

Classify the below number with all of the below labels that fit: π (pi)

A) Natural Numbers
B) Whole Numbers
C) Integers
D) Rational
E) Irrational
F) Real

E and F

300

Classify the below number with all of the below labels that fit: 8

A) Natural Numbers
B) Whole Numbers
C) Integers
D) Rational
E) Irrational
F) Real

A, B, C, D, and F

400

Classify the below number with all of the below labels that fit: √27

A) Natural Numbers
B) Whole Numbers
C) Integers
D) Rational
E) Irrational
F) Real

E and F

500

Classify the below number with all of the below labels that fit: 0

A) Natural Numbers
B) Whole Numbers
C) Integers
D) Rational
E) Irrational
F) Real

B, C, D, and F

Order of Operations

100

(-19+100) / 9

What is 9?

200

(-4+9)^{2
_______________}
9 - 4

What is 5?

300

This operation is performed first.

-4 + [(-36) ÷ (-12)]²

What is Brackets?

400

This operation is performed SECOND. 

-4 + [(-36) ÷ (-12)]2

What is the "Exponent"?

500

This is the answer of this expression

-4 + [(-36) ÷ (-12)]2

What is 1?

Vocabulary

100

A collection of rules that say which calculation comes first in an expression.

What is Order of Operations?

200

This property is used to simplify expressions by multiplying a single term by two or more terms inside parentheses.

What is the distributive property?

300

A real number that cannot be expressed as

a ratio of integers (or fraction)

Examples:

2.1354... Pi...√8

What is an Irrational Number?

400

A number that can be written as a ratio;

includes terminating and repeating decimals.

What is a Rational Number?

√25    3.485485...

1.23  -250

500

a) A number that is not a fraction; can be positive or negative

b) A number without  fractions or decimals

What are 

a) Integers

b) Whole Numbers