Parts of an Expression and Simplifying Expressions

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an expression. For example, in the term 7x, 7 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 multiplied together. For example, in the expression 7x + 5 - 1, there are three terms: 7x, 5, and -1.

Front

How do you simplify the expression 4(2.3x - 0.8) - 8.2?

Back

The simplified expression is 9.2x - 11.4.

Front

What is the result of simplifying 8x - 2(x + 3)?

Back

The result is 6x - 6.

Front

How many terms are in the expression 7x + 5^3 - 1?

Back

There are 3 terms in the expression.

Front

What is the process of simplifying an expression?

Back

Simplifying an expression involves combining like terms and performing operations to reduce it to its simplest form.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parenthesis.

Front

What is a variable in an expression?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal.