Identifying the Parts of an Expression TERMS Each

  • Slides: 8
Download presentation
Identifying the Parts of an Expression

Identifying the Parts of an Expression

TERMS Each expression is made up of terms. A term can be a number,

TERMS Each expression is made up of terms. A term can be a number, a variable, or a constant multiplied by a variable or variables. Each term in an algebraic expression is separated by + or – sign. 5 x + 3 y + 8 What are the terms? The terms are 5 x, 3 y and 8.

VARIABLES A variable is a symbol assigned to an unknown value. It is usually

VARIABLES A variable is a symbol assigned to an unknown value. It is usually represented with letters such as x, y, or t. Variables are lower case letters!

COEFFICIENTS AND VARIABLE PARTS In a term like 7 x , there are two

COEFFICIENTS AND VARIABLE PARTS In a term like 7 x , there are two parts: the numerical part and the variable part Coefficient Variable The numerical part is given a special name—it is called the coefficient.

 In the term 4 y, what is the coefficient? What is the variable?

In the term 4 y, what is the coefficient? What is the variable? 4 is the coefficient and y is the variable. In the term 17 x, what is the coefficient? What is the variable? 17 is the coefficient and x is the variable.

COEFFICIENT of 1 If you don't ‘see’ a coefficient, then it is 1. That

COEFFICIENT of 1 If you don't ‘see’ a coefficient, then it is 1. That is, x has a coefficient of 1. Also, x 2 has a coefficient 1. It's never necessary to write a coefficient of 1, because multiplication by 1 doesn't change anything.

CONSTANTS A term like “ 2” that has no variable part is called a

CONSTANTS A term like “ 2” that has no variable part is called a constant term, because it is constant—it never changes. It have a fixed value.

CONVENTIONAL WAY TO WRITE TERMS In any term, it is conventional to write the

CONVENTIONAL WAY TO WRITE TERMS In any term, it is conventional to write the numerical coefficient first. You should write 4 x, not x 4.