Parts Of An Expression

Front

What is a coefficient in an expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression. For example, in 81g, 81 is the coefficient.

Front

What is a term in an expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both, separated by addition or subtraction. For example, in 78d - 9b, both 78d and -9b are terms.

Front

What is a constant in an expression?

Back

A constant is a fixed value that does not change. In the expression 54d - 8, -8 is the constant.

Front

What is a variable in an expression?

Back

A variable is a symbol, often a letter, that represents an unknown value. In the expression 81g, g is the variable.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.

Front

When factoring, what happens if both terms have the same variable?

Back

If both terms have the same variable, you will factor out the variable as well.

Front

What is the difference between a term and a factor?

Back

A term is a part of an expression separated by addition or subtraction, while a factor is a number or variable that divides another number or expression evenly.

Front

Can an expression have more than one variable?

Back

Yes, an expression can have multiple variables. For example, 3xy + 2x - 5y has variables x and y.

Front

What is the role of parentheses in an expression?

Back

Parentheses indicate which operations should be performed first in an expression, following the order of operations.

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).