Solving Equations and Problems Solving
|In algebra letters called variables
|A term that is only a number is called a
term, or simply a constant. A term that contains
a variable is called a variable term.
|The number factor of a variable term is called
numerical coefficient . A numerical coefficient of
1 is usually not written.
|Terms that are exactly the same, except that
may have different numerical coefficients are
called like terms .
|A sum or difference of like terms can be
simplified using the distributive
By the distributive property,
|The commutative and associative
properties of addition and multiplication
help simplify expressions.
Properties of Addition and Multiplication
|The grouping of numbers in addition or
multiplication can be changed without
changing their sum or product.
Associative Property of Addition
Examples of Commutative and Associative Properties
|We can also use the distributive property
to multiply expressions.
The distributive property says that
|To simply expressions, use the distributive
property first to multiply and then combine
any like terms.
Simplify: 3(5 + x) - 17
Perimeter is the distance around the figure.
Don’t forget . . .