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Algebra II
Chapter 1 LWC
24
Mathematics
10th Grade
08/31/2009

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Cards

Term

 

Whole Numbers

Definition
0,1,2,3,4.......
Term
Integers
Definition
...-3, -2, -1, 0, 1, 2, 3.....
Term
Rational Numbers
Definition
Numbers such as 3/4, 1/3, and -4/1 (or -4) that can be written as the ratio of two integers.  When written as decimels, rational numbers terminate or repeat.  For example, 3/4 = 0.75 and 1/3 = 0.333...
Term
Irrational Numbers
Definition
Real numbers that are not rational, such as √2 and ∏ (pi).  When written as decimals, irrational numbers neither terminate nor repeat.
Term

Addition: a + b is a real number

 

Multiplication: ab is a real number

Definition
Closure property
Term

Addition: a + b = b + a

 

Multiplication: ab = ba

Definition
Commutative property
Term

Addition: (a + b) + c = a + (b +c)

 

Multiplication: (ab)c = a(bc)

Definition
Associative property
Term

Addition:  a + 0 = a, 0 + a = a

 

Multiplication:  a · 1 = a, 1 · a = a

Definition
Identity property
Term

Addition:  a + (-a)= 0

 

Multiplication:  a · 1/a = 1, a ≠ 0

Definition
Inverse property
Term
a(b + c) = ab + ac
Definition
Distributive property
Term
Additive Inverse
Definition

Opposite

 

The additive inverse of a is -a

Term
Multiplicative Inverse
Definition

Reciprocal

 

The multiplicative inverse of a is 1/a

Term
Numerical Expression
Definition
Consists of numbers, operations, and grouping symbols
Term

1. What type of expression is this?

 

25

 

2. Name the base                       

3. Name the exponent                 

 

 

 

Definition

1. Power        

 

2. Base: 2      

 

3. Exponent: 5

Term

What are the orders of operations?

 

 

Definition

1. First, do operations that occur within grouping symbols.

2. Next, evaluate powers.

3. Then, do multiplications and divisions from left to right.

4. Finally, do additions and subtractions from left to right.  (P, E, M, D, A, S)

Term
VARIABLE
Definition
Letter that is used to represent one or more numbers such as x, y, or z
Term
Value of the Variable
Definition
Any number used to replace a variable.
Term
Algebraic Expression
Definition
An expression involving variables.
Term
Mathematical Model
Definition
An expression that represents a real life situation
Term

Name this transformation that produces equivalent equations:

 

If a = b, then a + c = b + c

Definition

Addition Property of Equality

 

Add the same number to both sides

If a = b, then a + c = b + c

 

Term

Name this transformation that produces equivalent equations:

 

If a = b, then a - c = b - c

Definition

Subtraction Property of Equality

 

Subtract the same number from both sides

If a = b, then a - c = b - c

Term

Name this transformation that produce equivalent equations

 

If a = b and c ≠ 0, then ac = bc

Definition

Multiplication Property of Equality

 

Multiply both sides by the same nonzero number: If a = b and c ≠ 0, then ac = bc

Term

Name this transfrmation that produces equivalent equations:

 

If a = b and c ≠ 0, then a ÷ c = b ÷ c

Definition

Division Property of Equality

 

Divide both sides by the same nonzero number:

If a = b and c ≠ 0, then a ÷ c = b ÷ c

 

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