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Transcript
```Unit 6 vocabulary
Test over words next week, it will benefit you to study and
understand what there words mean.
Vocab words
1.
2.
3.
4.
5.
6.
7.
Associative Property 8.
Commutative
9.
Property
10.
Solution
Solve
11.
Inequality
12.
Variable
Term
Equation
Algebraic Expression
Numerical
Expression
Distributive Property
Coefficient
Associative Property
(Grouping)- Changing the grouping of the numbers does
not change the sum or product
Examples:
1) (2 x 3) x 4 = 24 which is equivalent to 2 x (3 x 4) =24
2) 10 x ( 3 x 4) which is equivalent to (10 x 3) x 4
Distributive property
Example:
 5(6 + 8) = (5 × 6) + (5 × 8)
 a × (b + c) = (a × b) + (a × c) and
 a × (b – c) = (a × b) – (a × c), where a, b, and c stand for
any real numbers.

The product of a number and the sum of two numbers is
the same as the sum of the number multiplied by each of
the other numbers.
Commutative Property

(Order Property) Changing the order of the addends or
factors does not change the sum or product.
Examples
7 + 3 = 10 which is equivalent to 3 + 7 = 10
25 x 4 = which is equivalent to 4 x 25

Numerical Expression






The term “numerical” means “involving numbers” and the
term “expression” means “phrase”.
A numerical expression is a mathematical phrase involving
only numbers and one or more operational symbols.
Examples
4 + 20 – 7
(2 + 3) – 7
(6 × 2) ÷ 20
5 ÷ (20 × 3)
Algebraic Expression
an expression that contains one or more numbers, one
or more variables, and one or more arithmetic
operations.
 Examples
1. 2x + 9
2. 3x -7
3. 3𝑎 2 − 5 𝑏 2

Equation

Two things are the same using mathematical symbols.
Everything on one side of an equal sign (=) have to be
equal to everything on the other side.

Examples




8 + 4 = 12
4 x 5 = 20
7 +10 – 5 = 12
Term

In Algebra a term is either:
* a single number, or
* a variable, or
* numbers and variables multiplied together.
Variable




is a symbol for a number we don't know yet.
It is usually a letter like x or y, however it can be
represented by any letter.
Examples
x+3
3x – y
Coefficient

A number used to multiply a variable
The numerical part of an algebraic term

Examples

Inequality


Two values are not equal
Example

a ≠b says that a is NOT equal to b
Solution

In an equation, it is an answer that can be substituted for
a variable that makes the equation true.

Example





5x + 3= 12
- 3 = +3
5x
= 15
5
=5
X
=3
Solve

To work out a correct solution
Homework #12

Finish your definition on the vocab sheet

Make flash cards



One side has definition and your own example
 Do NOT write the word with the definition
The other side has only the word
Must be use clear handwriting
```