Simplify 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 + 5 is an algebraic expression.

Front

What does it mean to simplify an algebraic expression?

Back

To simplify an algebraic expression means to combine like terms and reduce it to its simplest form.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

What is the coefficient in an algebraic term?

Back

The coefficient is the numerical factor in a term. For example, in 4x, 4 is the coefficient.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 3x + 5x = 8x.

Front

What is the result of -6k + 7k?

Back

k

Front

What is the result of -4x - 10x?

Back

-14x

Front

What is the result of 12r - 8 - 12?

Back

12r - 20

Front

Simplify the expression: 5a + 2b - 3a + 4.

Back

2a + 2b + 4

Front

Identify the like terms in the expression: 3x + 7 - 9x + 24y + 2x^2.

Back

3x and -9x are like terms.