Download Unit 6 vocabulary

Unit 6 vocabulary
Test over words next week, it will benefit you to study and
understand what there words mean.
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
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Distributive Property Example:
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
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(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
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Numerical Expression
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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 algebraic expression is 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
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Equation
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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.
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Examples
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8 + 4 = 12
4 x 5 = 20
7 +10 – 5 = 12
Term
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In Algebra a term is either:
* a single number, or
* a variable, or
* numbers and variables multiplied together.
Variable
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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
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A number used to multiply a variable
The numerical part of an algebraic term
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Examples
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Inequality
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Two values are not equal
Example
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a ≠b says that a is NOT equal to b
Solve
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To work out a correct solution
Solution
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In an equation, it is an answer that can be substituted for
a variable that makes the equation true.
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Example
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5x + 3= 12
- 3 = +3
5x
= 15
5
=5
X
=3