Simplifying Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 2 is an algebraic expression.

Front

What is a term in an algebraic 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 3x + 2, '3x' and '2' are both terms.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in the term 5x, 5 is the coefficient.

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. In the expression 3x + 4, the number 4 is a constant.

Front

How do you simplify an algebraic expression?

Back

To simplify an algebraic expression, combine like terms and perform any arithmetic operations. For example, 3x + 2 - 10 - 3x simplifies to -8.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 3x are like terms, while 2x and 3y are not.

Front

What is the process of combining like terms?

Back

Combining like terms involves adding or subtracting the coefficients of like terms. For example, 2x + 3x = 5x.

Front

What is the difference between an expression and an equation?

Back

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

Front

How many terms are in the expression 2x + 4 + x - 5x?

Back

There are 4 terms in the expression: 2x, 4, x, and -5x.

Front

What is the simplified form of 6n - 7n - 4 + n?

Back

The simplified form is -4.